The theoretical yield of CuO is 0.403 g.
To calculate the theoretical yield, the first step is to determine the limiting reactant, which is the reactant that is completely consumed and thus limits the amount of product that can be formed. To do this, we need to compare the amounts of CuBr₂ and NaOH that are available, and determine which one will be used up first.
The balanced chemical equation tells us that 1 mole of CuBr₂ reacts with 2 moles of NaOH to produce 1 mole of CuO. From the given amount of CuBr₂ (0.700 g), we can convert to moles using the molar mass of CuBr₂ (223.36 g/mol):
0.700 g CuBr₂ x (1 mol CuBr2/223.36 g CuBr₂) = 0.00313 mol CuBr₂
From the amount of NaOH (not given), we can assume that there is excess NaOH, meaning that all of the CuBr2 will react and the NaOH will not be completely consumed. Therefore, we can use the amount of CuBr2 to calculate the theoretical yield of CuO:
0.00313 mol CuBr₂ x (1 mol CuO/1 mol CuBr₂) x (79.55 g CuO/mol) = 0.403 g CuO
Therefore, the correct answer is 0.403 g.
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Ranking single, double, triple bonds in order of increasing flexibility and increasing strength: PH3, CF4, CO2, SO3, HCN, CO, H2O
Increasing flexibility: CF4 < SO3 < CO2 < PH3 < H2O < HCN < CO
Increasing strength: CF4 < CO2 < SO3 < PH3 < H2O < HCN < CO
Explanation:
CF4 has only single bonds, which makes it the least flexible molecule on the list.SO3 and CO2 both have double bonds, making them more flexible than CF4, but less flexible than PH3, which has a single bond.H2O and HCN have one double bond and one single bond, making them more flexible than SO3 and CO2, but less flexible than PH3.CO has a triple bond, making it the most flexible molecule on the list.In terms of strength, CF4 has only single bonds and is the weakest molecule.CO2 and SO3 both have double bonds, making them stronger than CF4 but weaker than PH3, which has a single bond.H2O and HCN have one double bond and one single bond, making them stronger than CO2 and SO3 but weaker than PH3.CO has a triple bond, making it the strongest molecule on the list.How many moles of CO would be products if 8.40 moles of SO4 was also produced
Answer:
Need the reast of the question. Like the reactants or equation
Explanation:
An experiment was carried out to make lead chloride from lead nitrate. 14. 0 g of lead chloride were obtained from 16. 9 g of lead nitrate. Determine the percentage yield of lead chloride
Moles of lead nitrate used mol Product mass Molar mass Pb 207 g/mol Molar mass N 14 g/mol Molar mass o 16 g/mol = 56 .65 %
moles of Pb([tex]NO_{3}[/tex]) = 14.8 / 331 = 0.0447
∵ moles = mass / molar mass
[tex]Pb(NO_{3}) + 2Cl = pbcl_{2} + 2NO_{3}[/tex]
[tex]\frac{moles of Pb (NO_{3}) }{1} = \frac{moles of Pbcl_{2} }{1}[/tex]
moles of [tex]Pbcl_{2}[/tex] = 0.0447
Theoretical mass of [tex]Pbcl_{2}[/tex] = moles * molar mass
= 0.0447 * 278
= 12.4266
% yield = Actual mass of [tex]Pbcl_{2}[/tex] / Theoretical mass of [tex]Pbcl_{2}[/tex] * 100
= [tex]\frac{7.04}{12.4266} * 100[/tex]
= 56 .65 %
Lead(II) chloride (PbCl2) is an inorganic compound that is white strong under surrounding conditions. It is ineffectively solvent in water. Lead(II) chloride is one of the main lead-based reagents. It likewise happens normally as the mineral cotunnite.
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the complete question is:
Begin Scenario An experiment was carried out to make lead chloride from lead nitrate. 7.04 g of lead chloride was obtained from 14.8 g of lead nitrate. Determine the percentage yield of lead chloride. Reactant mass 14.8 g 7.04 g a Determine the moles of lead nitrate, PbNO3, used in the experiment (To avoid introducing rounding errors on intermediate calculations, enter your answer to four significant figures.) Moles of lead nitrate used mol Product mass Molar mass Pb 207 g/mol Molar mass N 14 g/mol Molar mass o 16 g/mol
suggest and explain why the invention of the haber process. caused the closure of the humberstone mines in chile
In summary, the invention of the Haber process led to the production of synthetic fertilizers, which reduced the demand for natural nitrates from mines like Humberstone, ultimately leading to its closure.
The invention of the Haber process, which is a method of synthesizing ammonia from nitrogen and hydrogen gas, allowed for the production of large amounts of fertilizer. This increased the amount of farmland that could be cultivated and substantially increased crop yields. As a result, the demand for natural resources like nitrate-based fertilizers, which were previously extracted from mines like Humberstone in Chile, decreased significantly.
Humberstone was one of the largest nitrate mines in Chile and was known for producing high-quality nitrate fertilizers. However, the increased production of synthetic fertilizers through the Haber process meant that the demand for natural nitrate-based fertilizers gradually declined. The falling demand for natural nitrates eventually led to the closure of many nitrate mines like Humberstone in Chile.
In addition to the Haber process, other factors such as the discovery of cheaper sources of natural nitrates in other parts of the world and the decline in the price of nitrate also contributed to the closure of the Humberstone mines.
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A balloon filled with carbon dioxide gas at room temperature is placed in a freezer at 5 °C. Which statement describes the resulting effect on the gas particles?
Answer: they would decrease the speed and collisions of the gas particles
Explanation:
This is because the particles slow down as the temperature decreases and would also effect the volume of the ballon making it deflate a bit as not as much volume is needed anymore.
A 23.5 g sample of nacl was placed in a 500.0 ml erlenmeyer flask, which was filled to the mark with water. what is the molar concentration of the resulting nacl solution?
the molar concentration of the resulting NaCl solution is 0.804 mol/L.
The molar concentration of the NaCl solution can be calculated using the equation:
C = n/V,
where C is the molar concentration, n is the amount of substance (in moles), and V is the volume of the solution (in liters).
Given that the sample has a mass of 23.5 g and the molar mass of NaCl is 58.44 g/mol, we can calculate the amount of substance (n) in the sample:
n = 23.5 g / 58.44 g/mol = 0.402 mol
The volume of the solution (V) is equal to the volume of the Erlenmeyer flask, which is 0.500 L:
V = 0.500 L
Therefore, the molar concentration of the NaCl solution can be calculated as follows:
C = 0.402 mol / 0.500 L = 0.804 mol/L
Therefore, the molar concentration of the resulting NaCl solution is 0.804 mol/L.
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How do prevailing winds affect the precipitation an area experiences
To earn full credit for your answers, you must show the appropriate formula, the correct substitutions , and your answer including the correct units.
In 2013, there were 2.6 x 106people living in Rome. In 2013, 2.41 x 104 people died in Rome. What was the Crude death rate?
The crude death rate in Rome in 2013 was 0.9269, or 0.9269 deaths per 1,000 people.
What is the crude death rate?The crude death rate (CDR) is the number of deaths in a population divided by the total population, multiplied by a constant factor (usually 1,000 or 100,000) to express the rate per unit of population.
The formula for CDR is:
CDR = (Number of deaths / Total population) x Constant factor
We are given the following values:
Number of deaths (D) = 2.41 x 10^4
Total population (P) = 2.6 x 10^6
Constant factor = 1,000
Substituting these values into the formula for CDR, we get:
CDR = (D / P) x Constant factor
CDR = (2.41 x 10^4 / 2.6 x 10^6) x 1000
CDR = 9.269 x 10^-1
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Both Groups IA and IIA have high_____ ionization energies and ____ electronegativity, which is why these substances are very reactive.
Both Groups IA and IIA have high ionization energies and high electronegativity, which is why these substances are very reactive.
What is ionization?Ionization is the process by which atoms or molecules gain or lose electrons, resulting in the formation of ions. It is a fundamental process in physics and chemistry, and is the basis of many physical and chemical phenomena. Ionization is essential to the formation of many kinds of molecules, and it occurs when electrons are either added to or removed from neutral atoms or molecules. This process can be done through a variety of methods, including electrical or thermal energy, or radiation. Ionization can also occur through chemical reactions, such as the reaction of a metal with an acid, or the reaction of a gas with a liquid. In each of these cases, the resulting ions may take part in subsequent chemical reactions. Ionization is also responsible for the formation of ions in the atmosphere, and is responsible for many of the properties of matter.
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Polyurea is a synthetic material that is often used as a waterproof coating. Polyurea is useful because it is not reactive chemically. This means it does not break down easily.
Considering this information, what is likely a negative impact of polyurea?
A.
It has toxic effects on nearby wildlife.
B.
It does not break down after it is disposed of.
C.
It damages materials that it comes in contact with.
D.
It needs to be reapplied to surfaces frequently.
It dοes nοt break dοwn after it is dispοsed οf is likely a negative impact οf pοlyurea. sο, οptiοn (b) is cοrrect.
What is reactiοn?A chemical reactiοn is the transfοrmatiοn οf οne οr mοre chemicals, knοwn as reactants, intο οne οr mοre new cοmpοunds, knοwn as prοducts. The change in cοncentratiοn οf any οf the reactants οr prοducts per unit οf time can be used tο determine the rate οr speed οf a reactiοn. It is determined by the equatiοn rate = time + cοncentratiοn.
What is pοlyurea?A carbοnyl functiοnal grοup (C=O) cοnnects the twο amine grοups (-NH 2) in the mοlecule. Isοcyanates and amines' alternating mοnοmer units interact with οne anοther tο prοduce urea bοnds in a pοlyurea. A carbamic acid intermediate is prοduced when isοcyanates react with water tο prοduce ureas.
Therefοre, it dοes nοt break dοwn after it is dispοsed οf is likely a negative impact οf pοlyurea. sο, οptiοn (b) is cοrrect.
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Balance the chemical reaction by using an atom inventory.
What is the correct whole number coefficient for N2?
[ ? ]N2 + [ ] H2 -> [ ] NH3
For N2, 1 is the right whole number coefficient. N2 + 3H2 → 2NH3 is the balanced chemical reaction.
Balanced chemical equations: what are they?Equal numbers and types of each atom appear on both sides in case of balanced chemical equations, which is why they are called so. A balanced equation must have coefficients that are the simplest whole number ratio. For the chemical equation to adhere to the rule of conservation of mass, it must be balanced.
What are chemical equations that are balanced and unbalanced?Equal numbers of atoms from various elements are present in both the reactants and the products in balanced chemical equations. Different elements' atom counts in the reactants and products of unbalanced chemical equations are varied.
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draw the diagrammatical representation of Boyle's law
Explanation:
As per figure...You can have a look on it..
Boyes's law states that at constant temperature(T) for a given mass of ideal gas, the volume(V) of the gas is inversely proportional to its pressure(P).
That is PV=K where K is a constant
Graphs of Boyle’s law can be plotted at different temperatures.
The graph of Boyle’s law is known as a pressure-volume graph or PV curve.
The pressure and volume graph at constant temperature is known as an isotherm
As the Pressure increases with decreasing in volume, and vice versa.
Other parameters such as temperature and amount of gas are constant in the graph.
The equation of the curve is PV=K, which is the equation of Boyle’s law
Give at least 10 beneficial effects of separate mixture
Separation of mixtures is the process of isolating and purifying individual components from a mixture. It has a wide range of applications in various fields, including chemistry, biology, and environmental science. Here are ten beneficial effects of separation of mixtures:
Helps to obtain pure substances: Separation of mixtures helps in obtaining pure substances, which are essential for research and industrial processes.
Enables identification of individual components: Separation of mixtures allows the identification and characterization of individual components in a mixture.
Allows the removal of impurities: Separation of mixtures can be used to remove impurities from a mixture, which can improve the quality of the final product.
Facilitates recycling: Separation of mixtures is crucial for recycling materials such as plastic, paper, and metals.
Enables selective extraction: Separation of mixtures can be used to selectively extract specific components from a mixture.
Helps in drug development: Separation of mixtures is important in drug development, where pure compounds are required for testing and clinical trials.
Helps in forensic analysis: Separation of mixtures is used in forensic analysis to identify and analyze evidence.
Facilitates food processing: Separation of mixtures is used in the food industry to extract and purify ingredients.
Enables the production of clean energy: Separation of mixtures is used in the production of clean energy, such as separating hydrogen from other gases.
Helps in environmental remediation: Separation of mixtures is used in environmental remediation to separate and remove pollutants from soil, water, and air.
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Consider the close-packed structures we have been discussing. What would be the coordination number for a single atom inside of a 3-dimensional close packed structure?Note: The coordination number is the number of atoms bonded to a given atom or in the case of close-packed metals the number of atoms "touching" a given atom. (These atoms can be considered "coordinated" to that atom.) This coordination number will be the same for every atom in the structure and will be the same irrespective of the stacking sequence (i.e., the same for HCP and FCC).
The coordination number for a single atom inside of a 3-dimensional close-packed structure is 12.
The coordination number for a single atom inside of a 3-dimensional close-packed structure is 12. This is because in a close-packed structure, each atom is surrounded by 12 other atoms, 6 in the same plane and 3 in the plane above and 3 in the plane below. This is true for both hexagonal close-packed (HCP) and face-centered cubic (FCC) structures, as the coordination number is determined by the number of atoms "touching" a given atom and is the same for every atom in the structure.
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what has a molar mass of 63?
If you have 100g of C6H12O6 how many moles of C6H12O6 do you have?
What is the molarity of 2. 0 liters of an aqueous solution that contains 0. 50 mole of potassium iodine, KI?
The molarity of 2. 0 liters of an aqueous solution that contains 0. 50 mole of potassium iodine, KI is 0.25 M.
The molarity of an aqueous solution can be calculated using the following formula:
Molarity = moles of solute / liters of solution.
In this case, we have 0.50 mole of potassium iodine (KI) and 2.0 liters of solution.
Plugging these values into the formula, we get:
Molarity = 0.50 mole / 2.0 liters = 0.25 M
The molarity of the aqueous solution is 0.25 M.
Molarity is a unit of concentration that is commonly used in chemistry. It is defined as the number of moles of solute per liter of solution. The symbol for molarity is M, and it is expressed in units of moles per liter (mol/L).
Molarity is an important concept in chemistry because it allows scientists to describe the concentration of a solution in a quantitative way. It is often used in laboratory experiments to determine the amount of reactant needed or the amount of product produced in a chemical reaction.
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Which stimulus is an example of an internal stimulus?
Responses
an artificial light that attracts insects
an artificial light that attracts insects
a sudden change of air temperature
a sudden change of air temperature
a decrease in oxygen levels in the blood during exercise
a decrease in oxygen levels in the blood during exercise
an increase in the amount of water available to a plant
a decrease in oxygen levels in the blood during exercise
an artificial light that attracts insects
stimulus is an example of an internal stimulus
What kinds of internal stimuli and reactions can you think of?Things like oxygen levels, blood sugar and pH levels, water levels, and internal temperature are examples of internal stimuli. If any of these factors becomes too high or too low, the body will react in order to reestablish homeostasis.
There are both internal and exterior stimuli. One illustration of external stimulation is how your body reacts to drugs. Vital sign alterations brought on by internal body changes are an example of internal stimulation.
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pls help pls pls pls pls pls
A novel mutation is most likely the cause of the appearance of a black mouse within a population of light mice , those are inconsistent and rare events.
Why do some mice have a light color while others have a dark color?Fur color is influenced by several genes (4:29). The majority of genes are similar, but one gene (Mc1r) separates light and dark rock pocket mice. 4:55). The color of a mouse's fur is influenced by the genotype of the MC1R gene, according to Data Set 2. Mice that have two copies of allele 2 have the fur that is the darkest.
The dark-colored mice were the result of a random mutation in the population at site A. The trait did not spread because it did not benefit the mice from selection.
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Anyone who falls into a lake fully clothed could develop hypothermia (very low body
temperature). First aid treatment by paramedics is always to remove wet items of clothing. Use
your knowledge of thermal energy, evaporative cooling, and changes of state to explain
why.
Depending on the severity of the hypothermia, emergency medical care may include one or more of the following measures to increase the body temperature: Rewarming that is done passively. It is sufficient to cover someone suffering from moderate hypothermia with heated blankets .
What is the hypothermia first-aid treatment?Remove damp garments with care. Warm, dry jackets or blankets should be used in lieu of damp items. If more warming is required, it should be done gradually. Apply warm, dry compresses to the center of the body, such as the neck, chest, and groin.
Frostbite, or tissue loss induced by tissue freezing, is one of the most prevalent problems linked with hypothermia. Chilblains are caused by nerve and blood vessel injury. Gangrene is also known as tissue death.
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Note on matter
What is matter
Define 3 states of matter
What is valency
Would the reaction A + 2B + energy --> AB₂ be an endothermic or exothermic reaction?
endothermic
exothermic
The value of the energy is needed to determine if energy is released or absorbed in this reaction.
Unable to tell if this process is endothermic or exothermic because it is not stated whether energy is released or absorbed.
What is energy?Energy has the ability to perform work. It is a quantifiable quality that may be transferred to a physical system or body, and it can be seen when work is being done. Potential, kinetic, thermal, electrical, chemical, and radioactive forms of energy can all exist.
The energy shift that takes place during the reaction determines the type of reaction, whether it is exothermic or endothermic. It is an exothermic reaction if energy is released during the reaction. On the other side, a reaction is said to be endothermic if energy is absorbed during it[2]. According to the chemical equation, a + 2b + energy ab2.
You can tell whether a chemical process releases or absorbs energy overall by measuring the enthalpy of the reaction. The heat energy change that occurs as reactants turn into products is known as a reaction's enthalpy(H). H is positive if heat is absorbed throughout the process; if heat is emitted, H is negative. Exothermic processes have enthalpies that are less than zero and, as a result, are negative, while endothermic reactions have enthalpies that are more than zero and, as a result, are positive.
We cannot tell if this chemical reaction is endothermic or exothermic because the chemical equation contains no information about the value of energy.
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Honey aroma is a compound isolated from bee honey that can be used to sweeten food for people that have a problem with diabetes. A small 4.10-gram sample was taken from a beehive for analysis. It was found to contain 3.0 grams of carbon, and .30 grams of hydrogen and the rest was oxygen. What is the empirical formula for this sweetener? If it has an actual molar mass of 164 g/mole, then what is its molecular formula?
1. The empirical formula for the sweetener is C₅H₆O
2. The molecular formula for the sweetener is C₁₀H₁₂O₂
1. How do i determine the empirical formulaThe empirical formula for the sweetener can be obtained as follow:
Mass of compound = 4.1 gCarbon (C) = 3 gHydrogen (H) = 0.3Oxygen (O) = 4.1 - (3 + 0.3) = 0.8 gEmpirical formula =?Divide by their molar mass
C = 3 / 12 = 0.25
H = 0.3 / 1 = 0.3
O = 0.8 / 16 = 0.05
Divide by the smallest
C = 0.25 / 0.05 = 5
H = 0.3 / 0.05 = 6
O = 0.05 / 0.05 = 1
Thus, the empirical formula is C₅H₆O
2. How do i determine the molecular formula?The molecular formula for the sweetener can be obtained as follow:
Molar mass of sweetener = 164 g/molEmpirical formula = C₅H₆OMolecular formula =?Molecular formula = empirical × n
Molecular formula = mass number
Thus,
Empirical × n = mass number
[C₅H₆O]n = 164
[(12 × 5) + (1 × 6) + 16]n = 164
[60 + 6 + 16]n = 164
82n = 164
Divide both sides by 82
n = 164 / 82
n = 2
Molecular formula = [C₅H₆O]n
Molecular formula = [C₅H₆O]₂
Molecular formula = C₁₀H₁₂O₂
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If the elements cobalt and bromine were mixed and heated, they would combine into
a solid ionic compound. The name of the compound is Its formula is
calculate the ph of the final solution when 52.3 ml of hcl is mixed with 15.8 ml of hno3. the ph values of hcl and hno3 solutions are 4.34 and 3.89, respectively.
The final solution has a pH of 1.17.
The pH of the final solution can be calculated by using the equation:
pH = -log[H+]
Where [H+] is the concentration of hydrogen ions in the solution.Hydrogen ions, also known as protons, are positively charged particles that are found in solutions.
To calculate the concentration of hydrogen ions, we need to calculate the molarity of the solution.
Molarity of HCl =[tex]\frac{ (52.3 mL * 0.1000 mol/L) }{ (1000 mL/L) }[/tex]
[tex]= 0.0523 mol/L[/tex]
Molarity of HNO3 = [tex]\frac{(15.8 mL * 0.1000 mol/L) }{(1000 mL/L) }[/tex]
[tex]= 0.0158 mol/L[/tex]
Total molarity of the solution = 0.0523 + 0.0158 = 0.0681 mol/L
[H+] = 0.0681 mol/L
pH = -log[H+]
= -log(0.0681)
pH = 1.17
Therefore,The pH of final solution is 1.17.
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sdfghtyfd bgdbj. brtkj rdtiurtb biurb dtbrbtvhj rtburtjb vritb tkrj
Answer:
Explanation:
A?
Which statement is correct for
this reaction?
2NaBr + Ca(OH)2 → CaBr2 + 2NaOH
A. The reaction is not a redox reaction because it does include
oxidation number changes.
B. The reaction is a redox reaction because it does not include any
oxidation number changes.
C. The reaction is a redox reaction because it does include oxidation
number changes.
D. The reaction is not a redox reaction because it does not include
any oxidation number changes.
Answer:
c
Explanation:
Answer:
its actually d
Explanation:
I dont know why all I know is c was wrong and d was correct
CO2 dissolves in water to form an acid called
Answer:
carboxylic acid
Explanation:
i think so
pls mrk me brainliest
With reference to the balanced chemical reactions above, demonstrate your work below.
a. If 0.25 mol Na2CO3 completely reacts with excess HCI, how many moles of NaCl and CO2
will be produced, respectively?
b. If 6.02 x 1022 particles of NaBr completely react with excess Ca(OH)2, how many particles
of NaOH will be produced?
c. If 204.45 g of NH3 is completed used up in the reaction, how many grams of (NH4)2SO4
will be produced?
d. If 1 mol CsH₂O reacts with 2 mol O₂, how many mol of CO₂ will be produced?
There will be 0.5 moles of NaCl and 0.25 moles of CO2 produced if the entire 0.25 mol of Na2CO3 interacts with the excess HCl.
How to calculate moles?When extra Ca(OH)2 and 6.02 x 1022 NaBr particles totally react, 6.02 x 1022 NaOH particles are created.The reaction will yield 794.5g of (NH4)2SO4 if 204.45 g of NH3 are fully consumed during the process.Five moles of CO2 will be created if one mole of C5H9O interacts with two moles of oxygen.Given, A 0.25 mol of Na2CO3Na2CO3 + HCl 2NaCl + H2O CO2
1 mol of Na2CO3 splits into 2 moles of NaCl and 1 mole of CO2.
0.25 moles of Na2CO3 and 0.25 moles of CO2 are formed.
NaBr particles, 6.02 x 1022
Ca(OH)2 = CaBr2 + 2NaOH 2NaBr + Ca(OH)2
NaBr, 2 mole creates two moles of NaOH
Hence, 6.02 x 1022 NaBr particles are converted into 6.02 x 1022 NaOH particles.
204.45 g is the mass of NH3.
(NH4)2SO4 = 2NH3 + H2SO4
34 g of NH3 converts to 132.14 g of (NH4)2SO4.
794.45 g of (NH4)2SO4 are created from 204.45 g of NH3.
1. mol C5H9O
20CO2 plus 18H2O from 4C5H9O and 27O2
20 moles of CO2 are produced by 4 moles of the compound C5H9O.
In the synthesis of one mole of C5H9O, five moles of CO2 are produced.
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the rate of a standard reaction is 0.01840 m/s at 25 oc. it is determined that this is too fast, and that the rate should be reduced to 0.0046 m/s. what temperature should the reaction be run at to achieve this?
Thus, the required temperature for the reaction to run at a rate of 0.0046 m/s is 30.7°C approximately.
The Arrhenius equation gives the relation between rate constants and activation energy, which shows how the reaction rate is affected by temperature.
It is written as: k = Ae-Ea/RT Where,
k is the rate constant
A is the pre-exponential factor (frequency factor)
Ea is the activation energy
T is the temperature in Kelvins
R is the universal gas constant
Taking natural logs of both sides of the Arrhenius equation we have: ln(k) = ln(A) - Ea/RTln(k) = -Ea/RT + ln(A)
Now we will use the following rearranged form: ln(k2/k1) = -Ea/R (1/T2 - 1/T1)
We can substitute our given values of k2 = 0.0046, k1 = 0.0184, and T1 = 25oC + 273.15K = 298.15K into the above equation to solve for T2, which is the required temperature, as follows:
ln(0.0046/0.0184) = -Ea/R (1/T2 - 1/298.15K)ln(0.25)
= -Ea/R (1/T2 - 1/298.15K)ln(4)
= Ea/R (1/T2 - 1/298.15K)0.013862
= Ea/R (1/T2 - 1/298.15K)(1/T2 - 1/298.15K)
= 0.013862 x (R/Ea)
T2 can be found by rearranging the above equation as follows:
1/T2 = 1/298.15K + 0.013862 x (R/Ea)1/T2
= 1/298.15K + 0.013862 x (8.314 J/K/mol / Ea)T2
= 1 / (1/298.15K + 0.013862 x (8.314 J/K/mol / Ea))T2
= 1 / (0.0033522 + 0.013862 / Ea)T2
= 298.15 / (0.0033522 + 0.013862 / Ea)
Substituting Ea = 50000 J/mol, we have: T2 = 298.15 / (0.0033522 + 0.013862 / 50000)T2 = 303.9 K = 30.7°C (approx)
Thus, the required temperature for the reaction to run at a rate of 0.0046 m/s is 30.7⁰C approximately.
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