calculate the volume of h2 that will be produced from the complete consumption of 10.2 g zn in excess 0.100 m hcl (p = 725 torr, t = 22.0 °c).

Three possible products of a double replacement reaction are AB + CD → AD + CB, where A, B, C, and D represent elements or compounds.

In a double replacement reaction, the cations and anions of two ionic compounds switch places to form two new compounds. One of the products is usually a precipitate, an insoluble solid that separates from the solution. Another product could be a gas that bubbles out of the solution. The third product is typically a soluble salt that remains in the solution.

For example, the double replacement reaction between silver nitrate (AgNO₃) and sodium chloride (NaCl) produces a precipitate of silver chloride (AgCl), a soluble salt sodium nitrate (NaNO₃), and the release of gaseous nitrogen dioxide (NO₂) and oxygen (O₂).

2AgNO₃ + 2NaCl → 2AgCl↓ + 2NaNO₃

The reaction can be used to test for the presence of chloride ions in a solution.

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To calculate the enthalpy change for the given reaction: CH4 + Cl2 → CH3Cl + HCl, we will use the bond enthalpies provided (DC-H, DCl-Cl, DC-Cl, DH-Cl). We'll follow these steps:

1. Determine the bonds broken in the reactants.

2. Determine the bonds formed in the products.

3. Calculate the total enthalpy change for the reaction.

Step 1: Bonds broken in reactants:

- 1 DC-H bond in CH4 (414 kJ/mol)

- 1 DCl-Cl bond in Cl2 (243 kJ/mol)

Step 2: Bonds formed in products:

- 1 DC-Cl bond in CH3Cl (339 kJ/mol)

- 1 DH-Cl bond in HCl (431 kJ/mol)

Step 3: Calculate the total enthalpy change for the reaction:
Enthalpy change = (Σ bond enthalpies of bonds broken) - (Σ bond enthalpies of bonds formed)

Enthalpy change = (414 kJ/mol + 243 kJ/mol) - (339 kJ/mol + 431 kJ/mol)

Enthalpy change = (657 kJ/mol) - (770 kJ/mol)

Enthalpy change = -113 kJ/mol

The enthalpy change for the given reaction CH4 + Cl2 → CH3Cl + HCl is -113 kJ/mol.

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The diagnostic procedure that gives the highest dose of radiation is the thallium heart scan.

A thallium heart scan is a type of nuclear imaging test that uses a small amount of radioactive material, called thallium, to create images of the heart muscle. During the procedure, the patient receives an injection of the thallium, which travels through the bloodstream and accumulates in the heart muscle. A special camera is then used to detect the radioactive signal emitted by the thallium, which is used to create detailed images of the heart.

The thallium heart scan involves exposure to a higher dose of radiation compared to other diagnostic procedures such as an upper gastrointestinal tract x-ray, chest x-ray, or dental x-ray. This is because the thallium used in the test is a radioactive material and emits ionizing radiation that is detected by the camera. However, the amount of radiation used in the thallium heart scan is still considered safe for most people, and the benefits of the test usually outweigh the risks. The actual amount of radiation exposure will depend on factors such as the patient's body size and the specific imaging protocol used by the medical professional.

The diagnostic procedure that gives the highest dose of radiation among the options provided is the thallium heart scan. This procedure involves the use of a radioactive tracer (thallium) to assess the blood flow and function of the heart, and it exposes the patient to a higher dose of radiation compared to upper gastrointestinal tract x-rays, chest x-rays, and dental x-rays with two bitewings.

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Among the diagnostic procedures listed, the thallium heart scan is the one that typically involves the highest dose of radiation.

A thallium heart scan, also known as myocardial perfusion imaging, is a nuclear medicine procedure used to assess the blood flow to the heart muscle. It involves the injection of a small amount of radioactive material (thallium) into the bloodstream, which is then detected by a gamma camera to create images of the heart. The radioactive material emits gamma radiation, and the level of radiation exposure during this procedure is relatively higher compared to other diagnostic tests.  Therefore, the thallium heart scan is the diagnostic procedure that typically results in the highest dose of radiation.

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Answer:The carbon footprint of pork varies depending on the location and the production methods used. On average, the carbon footprint of pork production is estimated to be around 3.8 kg CO2e per kg of pork.

So for 23 kg of pork, the total carbon footprint would be:

3.8 kg CO2e/kg * 23 kg = 87.4 kg CO2e

Therefore, approximately 87.4 kg of CO2 equivalents are emitted in the production and post-farmgate processing of 23 kg of pork.

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In the reaction between copper (Cu) and nitric acid (HNO_{3}), copper acts as the reducing agent.

In a chemical reaction, the reducing agent is the species that donates electrons, leading to a decrease in its oxidation state. In the given reaction, copper (Cu) undergoes oxidation, losing electrons to form Cu^{+2}ions in the product [tex]Cu(NO_{3}) _{2}[/tex].

Cu(s) → [tex]Cu^{+2}[/tex](aq) + 2e-

The oxidation state of copper increases from 0 in the reactant (Cu) to +2 in the product (Cu2+). This indicates that copper loses electrons and gets oxidized. On the other hand, nitric acid (HNO_{3}) is the oxidizing agent in the reaction since it accepts electrons during the reaction. Nitric acid is reduced as nitrogen in HNO_{3} gains electrons and goes from +5 oxidation state to +4 oxidation state in [tex]NO_{2}[/tex]

[tex]HNO_{3}[/tex](aq) + 3e- → NO2(g) + 2[tex]H_{2}O[/tex](l)

Therefore, copper is the reducing agent in this reaction as it undergoes oxidation by losing electrons, while nitric acid acts as the oxidizing agent by accepting those electrons and getting reduced.

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Ionic bonds are formed between a metal and a nonmetal, where one atom loses one or more electrons to another atom that gains those electrons.

Polar covalent bonds are formed between two nonmetals that share electrons unequally, creating partial positive and negative charges. Nonpolar covalent bonds are formed between two nonmetals that share electrons equally, creating no partial charges. Using this information, we can classify the bonds as follows:

N-F: Polar covalent bond

Se-Cl: Polar covalent bond

Rb-F: Ionic bond

Na-F: Ionic bond

F-F: Nonpolar covalent bond

I-I: Nonpolar covalent bond

Note that for N-F and Se-Cl, the electronegativity difference between the atoms is greater than 0.5 but less than 1.7, so the bonds are considered polar covalent. For Rb-F and Na-F, the electronegativity difference is greater than 1.7, so the bonds are considered ionic. For F-F and I-I, the electronegativity difference is zero, so the bonds are considered nonpolar covalent.

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An inert electrode must be used when one or more species involved in the redox reaction are poor conductors of electricity. Inert electrodes, like graphite or platinum, do not participate in the reaction and only serve as a surface for the transfer of electrons.

An inert electrode must be used when one or more species involved in the redox reaction are easily oxidized or easily reduced. This is because if a reactive electrode is used, it could participate in the reaction itself and affect the overall outcome of the reaction.

Inert electrodes, on the other hand, do not participate in the reaction and only serve as a conductor of electricity. Therefore, the correct answer to the question is either "easily oxidized" or "easily reduced."

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Answer:

poor conductors of electricity

Explanation:

If a substance involved in the redox reaction conducts electricity poorly, it cannot serve as an effective electrode. In this case, an inert electrode can be used to act as an electron sink or source in solution.

The amount of heat required to heat 725 g of water from 22.1oC to 100.0oC is approximately 236.3 kJ.

To calculate the amount of heat required to heat 725 g of water from 22.1oC to 100.0oC, we can use the formula:
Q = m × c × ΔT
where Q is the amount of heat, m is the mass of the water, c is the specific heat capacity of water, and ΔT is the change in temperature.

Substituting the given values, we get:
Q = 725 g × 4.184 J/g.oC × (100.0oC - 22.1oC)
Q = 725 g × 4.184 J/g.oC × 77.9oC
Q = 236337.08 J or 236.3 kJ (rounded to one decimal place)

Therefore, the amount of heat required to heat 725 g of water from 22.1oC to 100.0oC is approximately 236.3 kJ. This is a significant amount of heat and highlights the importance of understanding the properties of water when studying thermodynamics and heat transfer.

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The bag contains 56 marbles. (35 yellow marbles can be expressed in the ratio as 5 yellow marbles for every 8 orange marbles.)

If a bag contains 35 yellow marbles, we can determine the total number of marbles in the bag using the given ratio. According to the ratio provided, for every 5 yellow marbles, there are 8 orange marbles. We can set up a proportion to find the total number of marbles in the bag.

Let x be the total number of marbles in the bag. The proportion can be written as: 5 yellow marbles / 8 orange marbles = 35 yellow marbles / x

Cross-multiplying, we get: 5x = 35 * 8

5x = 280

Dividing both sides by 5, we find: x = 56

Therefore, the bag contains 56 marbles.

According to the given ratio of 5 yellow marbles for every 8 orange marbles, we can set up a proportion to find the total number of marbles in the bag. By cross-multiplying, we find that 5 times the total number of marbles is equal to 35 times 8. Simplifying the equation, we get 5x = 280. Dividing both sides of the equation by 5, we find that the total number of marbles in the bag, represented by x, is equal to 56. Therefore, the bag contains 56 marbles in total. The given information of having 35 yellow marbles helps us determine the overall quantity of marbles in the bag using the provided ratio.

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Option B) 7.58 x 10⁻¹¹ M is the concentration of H+ in solution given the [OH] = 1.32 x  10⁻⁴  will be 1.32 x 10⁻¹¹ M.

We can use the fact that the product of the concentration of hydrogen ions (H⁺) and hydroxide ions (OH⁻) in a solution is equal to 1 x 10⁻¹⁴ M² at 25°C. This is known as the ion product constant of water (Kw).

Mathematically, we can write:

Kw = [H⁺][OH⁻] = 1 x 10⁻¹⁴ M²

We are given the concentration of hydroxide ions as [OH⁻] = 1.32 x 10⁻⁴ M. We can use this information and the Kw equation to calculate the concentration of hydrogen ions:

[H⁺] = Kw / [OH⁻]

[H⁺] = (1 x 10⁻¹⁴ M²) / (1.32 x 10⁻⁴ M)

[H⁺] = 7.58 x 10⁻¹¹ M

Therefore, the concentration of H⁺ in solution is 7.58 x 10⁻¹¹ M, which is option B.

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The mass of Na2HPO4 required to prepare a buffer solution with a target pH of 7.37, we need to consider the Henderson-Hasselbalch equation and the acid/base pair involved in the buffer system.

The Henderson-Hasselbalch equation is given by:

pH = pKa + log([base]/[acid])

Given:

Target pH = 7.37

pKa = 7.21

[base]/[acid] = 1.45

To achieve the target pH, we need to calculate the concentration of Na2HPO4 ([base]) and NaH2PO4 ([acid]) in the buffer solution.

Using the Henderson-Hasselbalch equation, we can rearrange it to solve for [base]/[acid]:

[base]/[acid] = 10^(pH - pKa)

Substituting the given values:

[base]/[acid] = 10^(7.37 - 7.21)

[base]/[acid] = 1.45

We are given [NaH2PO4] = 0.100 M, which represents [acid]. Therefore, we can calculate [base] as:

[base] = 1.45 × [acid]

[base] = 1.45 × 0.100 M

[base] = 0.145 M

Now, we need to calculate the mass of Na2HPO4 required to obtain a concentration of 0.145 M.

Molar mass of Na2HPO4 = 22.99 g/mol + 22.99 g/mol + 79.97 g/mol + 16.00 g/mol + 16.00 g/mol = 157.94 g/mol

Mass = moles × molar mass

Mass = 0.145 mol × 157.94 g/mol

Mass = 22.89 g

Therefore, approximately 22.89 grams of Na2HPO4 is required to prepare the buffer solution with a 1.00 L volume and a target pH of 7.37.

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45 mL of 0.40 M HCl are needed to neutralize 60 mL of 0.30 M NaOH. The balanced chemical equation for the neutralization reaction between HCl and NaOH is:

HCl + NaOH -> NaCl + H2O

From the equation, we see that one mole of HCl reacts with one mole of NaOH to produce one mole of NaCl and one mole of water.

Given that the concentration of NaOH is 0.30 M and the volume of NaOH is 60 mL, the number of moles of NaOH is:

moles of NaOH = concentration × volume

moles of NaOH = 0.30 M × 0.060 L

moles of NaOH = 0.018 moles

Since the stoichiometry of the reaction is 1:1, we need the same amount of moles of HCl to neutralize the NaOH.

Thus, we can use the moles of NaOH to calculate the volume of HCl needed:

moles of HCl = moles of NaOH

moles of HCl = 0.018 moles

To find the volume of 0.40 M HCl needed, we can use the following equation:

moles of solute = concentration × volume of solution

Solving for the volume of HCl:

volume of HCl = moles of solute / concentration

volume of HCl = 0.018 moles / 0.40 M

volume of HCl = 0.045 L or 45 mL

Therefore, 45 mL of 0.40 M HCl are needed to neutralize 60 mL of 0.30 M NaOH.

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The separation technique that would be used to separate copper (II) sulfate from carbon is filtration, followed by the evaporation of the solvent.

Filtration is the best method to use since it separates solids from liquids. The mixture can be poured onto a filter paper, and the copper (II) sulfate will dissolve in the water and pass through the filter paper while the carbon remains behind.

Once the copper (II) sulfate is separated from the carbon, it can be retrieved by evaporating the solvent leaving the solid copper (II) sulfate behind. This method works because copper (II) sulfate is a water-soluble compound while carbon is not.

By using filtration and evaporation, we can separate both components of the mixture.

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The mass percent of nickel chlorate in the solution is 2.57%. to calculate the mass percent, you first need to find the mass of the solution. The mass of the solution is the sum of the mass of nickel chlorate and the mass of water, which is 0.265 g + 10.00 g = 10.265 g.

Next, you can calculate the mass of nickel chlorate in the solution by subtracting the mass of water from the total mass of the solution: 10.265 g - 10.00 g = 0.265 g.

Finally, the mass percent of nickel chlorate can be calculated by dividing the mass of nickel chlorate by the total mass of the solution and multiplying by 100: (0.265 g / 10.265 g) x 100 = 2.57%.

Therefore, the mass percent of nickel chlorate in the solution is 2.57%.

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The Keq for the reaction can be calculated using the equation ΔG° = -RTlnKeq, where ΔG° is the standard free energy change, R is the gas constant, T is the temperature in Kelvin, and Keq is the equilibrium constant.

In this case, ΔG° is -78.84 kJ/mol, and assuming standard conditions of 25°C (298 K) and 1 atm pressure, we can plug in the values and solve for Keq -78.84 kJ/mol = -8.314 J/K/mol * 298 K * ln Keq ,-78.84 kJ/mol = -24,736 J/mol * ln(Keq ln(Keq) = 78.84 kJ/mol / 24,736 J/mol ,ln(Keq) = -3.186 ,Keq = e^-3.186 ,Keq = 0.041 Therefore, the explanation is that the Keq for this reaction is 0.041.

Convert the given ΔG from kJ/mol to J/mol: -78.84 kJ/mol * 1000 J/kJ = -78840 J/mol, Convert the temperature from Celsius to Kelvin: 25°C + 273.15 = 298.15 K  Use the gas constant, R, in J/(mol·K): R = 8.314 J/(mol·K) ,Rearrange the equation to solve for Keq: ln(Keq) = -ΔG/RT, Substitute the values into the equation: ln Keq = -78840 J/mol / (8.314 J/(mol·K) * 298.15 K, Calculate the value of ln(Keq): ln(Keq) ≈ 31.92 Find the Keq by taking the exponential of the ln(Keq) value: Keq = e^(31.92) ≈ 4.16 x 10^13.
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The activation energy for the gas phase decomposition of dichloroethane is 207 kJ. The rate constant at 715 K is 9.82×10-4 /s.

The activation energy for the gas phase decomposition of dichloroethane is 207 kJ. This means that a certain amount of energy, equal to 207 kJ, is required to initiate the reaction. The chemical reaction is as follows: CH3 CHCl2 ---->CH2=CHCl + HCl. The rate constant at 715 K is 9.82×10-4 /s. A rate constant is a measure of the rate of reaction. It is expressed in terms of the concentration of reactants and products in the reaction. Now, we need to calculate the rate constant at a different temperature, which is not given.

To calculate the rate constant at a different temperature, we need to use the Arrhenius equation, which is given by k = Ae^(-Ea/RT), where k is the rate constant, A is the pre-exponential factor, Ea is the activation energy, R is the gas constant, and T is the temperature in Kelvin. We know the value of Ea, and we can calculate the value of A using the rate constant at 715 K.

Using the given rate constant, we get A = k*e^(Ea/RT) = 9.82×10-4 /s * e^(207000/8.314*715) = 3.17×10^12 /s. Now, we can use this value of A and the given value of Ea to calculate the rate constant at a different temperature.

Let's assume that the temperature at which we want to calculate the rate constant is T2. We can rearrange the Arrhenius equation to get ln(k2/k1) = -(Ea/R)*(1/T2 - 1/T1), where k1 is the rate constant at 715 K, and k2 is the rate constant at T2. Solving for k2, we get k2 = k1*e^-(Ea/R)*(1/T2 - 1/T1). Substituting the given values, we get k2 = 1.36×10-2 /s at T2 = 875 K. Therefore, the rate constant at 875 K is 1.36×10-2 /s.

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4.74 is the ph of a solution that is 0.10 m hc2h3o2 and 0.10 m nac2h3o2  (the conjugate base).

To determine the pH of this solution, we need to first calculate the concentration of the conjugate base, which is NaC2H3O2. Since the initial concentration of HC2H3O2 is 0.10 M and it reacts with NaOH in a 1:1 ratio, the concentration of the conjugate base is also 0.10 M.
Next, we can use the Ka value of HC2H3O2 to calculate the concentration of H+ ions in the solution:
Ka = [H+][C2H3O2-]/[HC2H3O2]
1.8 x 10^-5 = x^2 / (0.10 - x)
where x is the concentration of H+ ions
Solving for x, we get a concentration of 1.34 x 10^-3 M.
Now, we can use the pH formula to calculate the pH of the solution:
pH = -log[H+]
pH = -log(1.34 x 10^-3)
pH = 2.87
Therefore, the pH of the solution is 2.87.
The pH of a solution with 0.10 M HC2H3O2 and 0.10 M NaC2H3O2 can be determined using the Henderson-Hasselbalch equation. This equation relates the pH, pKa, and the ratio of the concentrations of the conjugate base (A-) and weak acid (HA).
Henderson-Hasselbalch equation: pH = pKa + log([A-]/[HA])
In this case, the weak acid (HA) is HC2H3O2 and its conjugate base (A-) is C2H3O2-. The Ka of HC2H3O2 is given as 1.8 x 10^-5. To find the pKa, use the formula:
pKa = -log(Ka) = -log(1.8 x 10^-5) ≈ 4.74
Since the solution is a buffer with equal concentrations of the weak acid and its conjugate base (0.10 M each), the ratio of [A-] to [HA] is 1.
Now, apply the Henderson-Hasselbalch equation:
pH = pKa + log([A-]/[HA]) = 4.74 + log(1) = 4.74
So, the pH of the solution is approximately 4.74.

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A unit cell.

A unit cell is the smallest repeating unit of a crystal lattice that, when repeated in all directions, generates the entire crystal structure.

It retains the same geometric shape and symmetry as the larger crystal structure, which means that the properties of the crystal can be determined from the properties of its unit cell.

The unit cell contains one or more atoms or ions and is defined by its dimensions and angles between its sides. Understanding the unit cell is essential to understanding the physical and chemical properties of crystals, and it is a fundamental concept in materials science, chemistry, and solid-state physics.

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The order of the four enzymes that catalyze the reactions in the fatty acid degradation cycle, from first to last, is as follows :- Acyl-CoA dehydrogenase, Enoyl-CoA hydratase, B-ketoacyl-CoA thiolase, 3-hydroxyacyl-COA dehydrogenase.

The enzymes are arranged in the order in which they act on the fatty acid molecule during each cycle of the degradation.

During each cycle of the fatty acid degradation, the acyl-CoA molecule is oxidized by acyl-CoA dehydrogenase to produce a trans-Δ2-enoyl-CoA. The enoyl-CoA molecule is then hydrated by enoyl-CoA hydratase to produce a β-hydroxyacyl-CoA.

This molecule is then oxidized by 3-hydroxyacyl-COA dehydrogenase to produce a β-ketoacyl-CoA. Finally, this molecule is cleaved by B-ketoacyl-CoA thiolase to produce acetyl-CoA and a new, shorter acyl-CoA molecule, which can enter another cycle of the fatty acid degradation.

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When dissolved in water, Ca(OH)2 and KOH are bases. HClO4 and HI are acids. The  correct option is (1).

A substance is classified as a base if it accepts protons (H+) when dissolved in water. Ca(OH)2 and KOH both contain hydroxide ions (OH-) that readily accept protons from water, making them bases. On the other hand, HClO4 and HI are both acids.

HClO4 is a strong acid, meaning that it dissociates completely in water, releasing H+ ions. HI is also an acid, as it contains hydrogen ions that are readily released in water.

The basicity or acidity of a substance is determined by its ability to donate or accept protons in a solution. The pH scale, which ranges from 0 to 14, measures the acidity or basicity of a solution.

A pH value below 7 indicates acidity, while a pH above 7 indicates basicity. The neutrality point is pH 7, which corresponds to a solution with an equal concentration of H+ and OH- ions.

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The possible return values of this function call are:

If the function call succeeds, it returns the file size in bytes of the file corresponding to infd.

If the function call fails, it returns -1 and sets errno to indicate the error.

The return value of the function call lseek(infd, 0, SEEK_END) depends on whether it succeeds or fails. The lseek() function is used to change the file offset of the open file associated with the file descriptor infd. In this case, the function call sets the file offset to the end of the file.

If the function call succeeds, it returns the resulting file offset as a off_t type value. In this case, the resulting file offset will be the file size in bytes of the file corresponding to infd.

If the function call fails, it returns -1 and sets errno to indicate the error. Possible errors include EBADF if infd is not a valid file descriptor, ESPIPE if infd refers to a pipe or FIFO, or EINVAL if the whence argument (in this case, SEEK_END) is invalid.

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To determine the mass of each product formed in the reaction between 7.5 L of 5.00 M phosphoric acid and an excess of calcium hydroxide, the stoichiometry of the reaction needs to be considered. The molar ratio between the reactants and products can be used to calculate the mass of each product.

The balanced equation for the reaction is [tex]2H_3PO_4(aq) + 3Ca(OH)_2(aq)[/tex] → [tex]Ca_3(PO_4)_2(s) + 6H_2O(aq).[/tex]

First, we need to calculate the number of moles of phosphoric acid used. To do this, we multiply the volume (7.5 L) by the molarity (5.00 M) to obtain the moles of H3PO4: 7.5 L × 5.00 mol/L = 37.5 mol.

Based on the stoichiometry of the reaction, we know that for every 2 moles of [tex]H_3PO_4[/tex], 1 mole of [tex]Ca_3(PO_4)_2[/tex] is formed. Therefore, the moles of [tex]Ca_3(PO_4)_2[/tex] formed can be calculated as 37.5 mol.

To calculate the mass of [tex]Ca_3(PO_4)_2[/tex] formed, we need to know the molar mass of [tex]Ca_3(PO_4)_2[/tex], which is 310.18 g/mol. Therefore, the mass of [tex]Ca_3(PO_4)_2[/tex] formed is 18.75 mol × 310.18 g/mol = 5,801.25 g.

Since water is also a product, we can calculate the moles of water formed as 6 times the moles of [tex]Ca_3(PO_4)_2[/tex]: 18.75 mol [tex]Ca_3(PO_4)_2[/tex] × 6 mol H2O / 1 mol [tex]Ca_3(PO_4)_2[/tex] = 112.5 mol [tex]H_2O[/tex].

The molar mass of water is 18.015 g/mol, so the mass of water formed is 112.5 mol × 18.015 g/mol = 2,023.12 g.

In summary, when 7.5 L of 5.00 M phosphoric acid reacts with an excess of calcium hydroxide, approximately 5,801.25 grams of calcium phosphate [tex]Ca_3(PO_4)_2[/tex] and 2,023.12 grams of water would be formed.

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The molar solubility of lead sulfate in 1.0 × 10⁻³ m Na2So4 is (c) 1.8 × 10⁻⁵

The molar solubility of a compound is defined as the amount (in moles) of the compound that can dissolve in one liter of a solution. To determine the molar solubility of PbSO₄, we need to calculate the concentration of Pb2+ ions in the presence of 1.0 × 10⁻³ M Na₂SO₄.

The solubility product constant (Ksp) expression for lead sulfate (PbSO₄) is:

PbSO₄ (s) ↔ Pb₂+ (aq) + SO₄⁻²(aq)

The Ksp expression can be written as:

Ksp = [Pb₂][SO4⁻²]

In the presence of 1.0 × 10–3 M Na₂SO₄, the concentration of SO₄⁻² is already given. Therefore, we need to calculate the concentration of Pb₂+ ions in order to determine the molar solubility of PbSO₄.

Using the Ksp expression, we can write:

Ksp = [Pb₂+][SO₄²⁻]

1.8 × 10^-8 = [Pb₂+][SO₄²⁻]

[Pb₂+] = 1.8 × 10^-8 / [SO₄²⁻]

[Pb₂+] = 1.8 × 10^-8 / 0.001

[Pb₂+] = 1.8 × 10^-5 M

Therefore, the molar solubility of PbSO4 in 1.0 × 10⁻³ M Na₂SO₄ solution is 1.8 × 10⁻⁵ M.

Therefore, the correct answer is (c) 1.8 × 10⁻⁵.

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During the collapse of a giant star, the iron core undergoes many nuclear reactions and eventually collapses to form a neutron star or a black hole.

Part 1: In the reaction Sc-30 + 7B-10 -> 37Cl-37 + 1n-1, one neutron is produced along with chlorine-37. However, during the collapse of a giant star, many nuclear reactions occur, and it is difficult to determine which specific reaction leads to the production of chlorine-37.

Part 2: In the reaction Zn-68 + 13Al-27 -> 81Ga-95 + 2n-1, two neutrons are produced along with gallium-81. Similarly to Part 1, it is difficult to determine which specific reaction leads to the production of gallium-81 during the collapse of a giant star.

Part 3: In the reaction Fe-56 + 1n-1 -> Mn-55 + 1H-1, a proton and manganese-55 are produced. However, during the collapse of a giant star, the iron core undergoes many nuclear reactions and eventually collapses to form a neutron star or a black hole, and it is difficult to determine which specific reaction leads to the production of manganese-55.

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Approximately 0.268 grams of sodium azide needs to be loaded into the airbag to fully inflate it at standard temperature and pressure.

To calculate the amount of sodium azide required to inflate an airbag, we first need to understand the chemical reaction that takes place. The sodium azide reacts with the potassium nitrate inside the airbag to produce nitrogen gas, which inflates the bag. The reaction is as follows:

[tex]2NaN_3 + 2KNO_3 \rightarrow3N_2 + 2Na_2O + K_2O[/tex]

From the balanced chemical equation, we can see that 2 moles of sodium azide (NaN3) react to produce 3 moles of nitrogen gas (N2).

The volume of the airbag is given as 139 liters, which is equivalent to 0.139 cubic meters. At standard temperature and pressure (STP), the volume of one mole of gas is 22.4 liters. Therefore, the number of moles of nitrogen gas required to fill the airbag is:

n = V/STP = 0.139/22.4 = 0.00620 moles

To produce 3 moles of nitrogen gas, we need 2 moles of sodium azide. Therefore, the number of moles of sodium azide required is:

n(NaAzide) = (2/3) x n(N2) = (2/3) x 0.00620 = 0.00413 moles

The molar mass of sodium azide is 65 grams/mole. Therefore, the mass of sodium azide required to inflate the airbag is:

Mass = n(NaAzide) x Molar mass = 0.00413 x 65 = 0.268 grams

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To fully inflate an airbag, about 50 grams of sodium azide is required. This chemical is stored in the airbag and when the sensor detects a crash, it is ignited, producing nitrogen gas which inflates the bag.

Sodium azide is a highly toxic and explosive substance, and must be handled with great care during the manufacturing and installation of airbags. Once the airbag is deployed, the nitrogen gas produced by the reaction of sodium azide with a metal oxide is harmless and rapidly dissipates into the atmosphere.It is important to note that tampering with an airbag or attempting to remove sodium azide from an airbag is extremely dangerous and should never be attempted. Only trained professionals should handle airbag installation and removal.

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The conversion of 4-pentanoylbiphenyl to 4-pentanylbiphenyl with hydrazine and potassium hydroxide is a reduction . Option c. is correct.

Because it involves the addition of hydrogen atoms to the carbon atoms in the molecule, resulting in a decrease in the oxidation state of the carbons. During the reaction, hydrazine acts as a reducing agent and reduces the ketone group (-[tex]CO^-[/tex]) to an alcohol group (-[tex]CH_2OH[/tex]). This reduction results in the conversion of the carbonyl carbon from sp2 hybridization to sp3 hybridization, resulting in the formation of a new C-H bond.

Therefore, the reaction involves a gain of electrons by the carbonyl carbon, and a reduction of the ketone functional group. There is no simultaneous oxidation of any other species in the reaction.

Therefore, the reaction is a reduction and not an oxidation or a non-redox reaction. Hence, option c. is correct.

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Benzaldehyde is more acidic than acetophenone because its conjugate base is more stable, allowing for better delocalization of the negative charge over the entire phenyl ring.

To determine which compound is more acidic between acetophenone and benzaldehyde, we need to consider their molecular structures and the stability of their conjugate bases.

Understand the molecular structures of acetophenone and benzaldehyde.
Acetophenone has a structure of C6H5C(O)CH3, where a carbonyl group is attached to a methyl group and a phenyl group. Benzaldehyde has a structure of C6H5CHO, where a carbonyl group is directly attached to a phenyl group.

Consider the stability of their conjugate bases.
When a compound loses a hydrogen ion (H+), it forms a conjugate base. A more stable conjugate base indicates a more acidic compound. The conjugate bases of acetophenone and benzaldehyde are formed by losing a hydrogen ion from their carbonyl groups, resulting in a negative charge on the oxygen atom.

Compare the conjugate base stability.
Benzaldehyde's conjugate base has a more stable resonance structure due to the direct attachment of the carbonyl group to the phenyl group, allowing for better delocalization of the negative charge over the entire phenyl ring. In contrast, acetophenone's conjugate base has a less stable resonance structure because the negative charge cannot be delocalized over the entire phenyl ring due to the presence of the methyl group.

In conclusion, benzaldehyde is more acidic than acetophenone because its conjugate base is more stable, allowing for better delocalization of the negative charge over the entire phenyl ring.

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The standard molar enthalpy of formation of NH3(g) is 45.9 kJ/mol.

The standard molar enthalpy of formation of NH3(g) can be calculated using the given values of delta G_rxn and delta H_rxn for the reaction 2NH3(g) <---> N2(g) + 3H2(g).

Using the relation ΔG = ΔH - TΔS, we can first calculate the standard molar entropy change (ΔS) for the reaction. Given that ΔG_rxn = 16.4 kJ/mol and ΔH_rxn = 91.8 kJ/mol, we can rearrange the equation to ΔS = (ΔH - ΔG)/T. Assuming standard conditions (T = 298.15 K), we can calculate ΔS as:

ΔS = (91.8 kJ/mol - 16.4 kJ/mol) / 298.15 K = 0.253 kJ/mol*K

Now, we can use the standard entropy change to calculate the standard molar enthalpy of formation for NH3(g). For the given reaction, the change in the number of moles of gas is:

Δn_gas = 3 - 2 = 1

The standard molar enthalpy of formation of NH3(g) can be expressed as:

ΔH_formation(NH3) = ΔH_rxn / 2 - Δn_gas * R * T * ΔS

Using the given values and the gas constant R = 8.314 J/mol*K, we can calculate the standard molar enthalpy of formation for NH3(g) as:

ΔH_formation(NH3) = (91.8 kJ/mol) / 2 - 1 * (8.314 J/mol*K) * 298.15 K * (0.253 kJ/mol*K) = 45.9 kJ/mol

Therefore, the standard molar enthalpy of formation of NH3(g) is 45.9 kJ/mol.

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The equilibrium constant for the reaction of solid tin with copper is 6.5 × 10⁹ .

The reduction process is given as,

Sn + 2 Cu²⁺ ⇄ Sn²⁺ + 2 Cu⁺

Sn → Sn²⁺ + 2e                     E°(Sn/Sn²⁺) = 0.14 V

(Cu²⁺ + e⁻ → Cu⁺) × 2            E°(Cu/Cu⁺) = 0.15 V

-----------------------------------------------------------------------------------------

Sn + 2 Cu²⁺ → Sn²⁺ + 2 Cu⁺

Nernst equation

E cell = E° cell - 0.059/n log Q

At equilibrium,

E cell = 0 Q = Keq

∴ E° cell = 0.059/2 log Keq

(0.29 × 2) / 0.059 = log Keq

9.3 = log Keq

10^9.3 = Keq

By taking antilog,

Keq = 6.5 × 10⁹

Hence, the equilibrium constant for the reaction of solid tin with copper is  

6.5 × 10⁹ .

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