A reaction between 1.70 moles of oxygen and 0.1 moles of carbon dioxide results in a mole of CO2. As a first step, we'll write the reaction's balanced equation. What follows is that: 16CO2 and 18H2O are produced by adding 2C8H18 and 25O2.
What is the purpose of oxygen?The chemical process that generates energy and powers the metabolisms of most living things, respiration, depends heavily on oxygen. The oxygen in the air that we breathe is essential for the survival of humans and many other animals.
Does breathing in oxygen make you sleepy?Wear your oxygen as directed by your healthcare practitioner. When utilizing supplemental oxygen, you may be receiving too much if you begin to feel headaches, disorientation, or excessive tiredness.
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Put the following chromatography solvent in order of polarity as a chromatography solvent: acetone, npropanol, water, hexane, diethyl ether, methanol. 2) You will be doing chromatography with a mixture of n-propanol and water. Would it make sense to add 5) Two cars full of people took a day trip. Car A had a lot of little kids and stopped at lots of rest stops and gas stations to give them a break. Car B had just adults in it, and only stopped once. Of course Car B got to the destination first. Explain how this in an analogy for the chromatography you are doing in this experiment help please
LEAST TO MOST POLAR- hexane,diethyl ether,acetone,n-propanol,water ,methanol
Considering the problem we can say that the kids are compared to be more polar or smaller molecular weight compounds. The more polar compounds interact with silica more just as the kids bus stopped at every point and reached the destination late. Whereas, the adult bus is compared to be less polar compounds or high molecular weight which interacts less and reaches the destination faster.
Thus more polar compounds reaches the destination late whereas less polar compound reaches first.
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write the balanced chemical equation for the reaction of the weak acid hcn with water. include the phase of each species. chemical equation:
The balanced chemical equation for the reaction of the weak acid HCN with water is HC ≡ N (aq) + H₂O(l) ⇌ N₃O⁺ + ⁻C ≡ N (aq)
What does the chemistry term "equation" mean?
Reaction equation are symbolic depictions of chemical reactions where the reactants and products are stated in relation to the following chemical formulae.
Equation and response are what?What is an equations and a chemical reaction? In a chemical change, bonds between molecules of the reagent are destroyed and new bonds between molecules of the product are established to create a new substance. A chemical formula is nothing more than a statement of fact that represents how reactants generate products.
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the procedures instructs a student to measure 7.55 ml of solution 1. the student measures 11.89 ml of solution 1. what is the percent (by volume) of extra liquid measured by the student?
The procedures tells a student to measure 7.55 ml of solution 1 but the student measures 11.89 ml of solution 1. The percent by volume of extra liquid measure by the student added is 36.50%.
The percent by volume for any solution is calculated as%(v/v)=(volume of solute/volume of solution)×100
In the given problem, the volume of solution is 11.89 ml and the volume of the solute is
volume of solute=(11.89-7.55)ml
volume of solute=4.34ml
We cannot consider the volume used to measure by procedure because the total volume is increased by extra addition of the solute. Plug all values in the formula
%(v/v)=(4.34 ml/11.89 ml)×100
%(v/v)=0.36501×100
%(v/v)=36.501%
%(v/v)=36.50%
Therefore, the concentration of a liquid measured by the student is 36.50 ml.
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a gas at a pressure of 80.0 mm hg occupies 10.5 liters. what is the volume when the pressure is increased to 90.0 mm hg?
The volume when the pressure is increased to 90.0 mm hg is 9.33 L.
An ideal gas is a theoretical gas composed of many randomly transferring factor particles that aren't difficult to interparticle interactions. the best gasoline idea is beneficial because it obeys the precise gas law, a simplified equation of country, and is amenable to evaluation under statistical mechanics.
An ideal gas is described as one for which both the extent of molecules and forces between the molecules are so small that they have got no effect at the behavior of the gas. The real gas that acts almost like a really perfect gasoline is helium. that is due to the fact helium, in contrast to maximum gases, exists as an unmarried atom, which makes the van der Waals dispersion forces as low as viable
Using the ideal gas equation:-
Given;
P₁ = 80.0 mm hg
V₁ = 10.5 liters
P₂ = 90.0 mm hg
V₂ =
P₁V₁ =P₂V₂
V₂ = P₁V₁/P₂
= 9.33 L
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what pressure would it take to compress 250. l of helium gas initially at 1.00 atm into a 2.00 l tank at constant temperature?express your answer with the appropriate units.
1.25atm is the pressure required to compress 250l of helium gas.
What is Helium gas?
The chemical element helium has the atomic number 2 and the symbol He. It is the first member of the noble gas group in the periodic table and is a colourless, odourless, tasteless, non-toxic, inert, monatomic gas. Of all the elements, it has the lowest melting and boiling points.
What is pressure?
The force delivered perpendicularly to an object's surface per unit area across which that force is dispersed is known as pressure.
Calculations:
Here the temperature is constant.
Given
P1 = 1atm
V1 = 250L
P2 = ?
V2 = 2 L
Hence,
P1V1 = P2V2
P2 = P1V1/V2
P2 = 250L × 1atm/200L = 1.25atm.
Hence, 1.25atm is the pressure required to compress 250l of helium gas.
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Part A What is produced at each electrode in the electrolysis of NaBr(aq)? Drag the appropriate items to their respective bins. View Available Hint(s)
In the provided query, bromine gas ([tex]\rm Br_2[/tex]) and sodium metal ([tex]\rm Na[/tex]) are produced when NaBr (Sodium bromide) is electrolyzed in an aqueous solution.
Electrolysis is the method of driving a non-spontaneous chemical reaction with an electric current.
In this reaction, sodium bromide is broken down into its constituent elements, bromine and sodium. Bromine is produced at the anode and sodium is produced at the cathode.
Overall reaction: [tex]\rm 2NaBr \rightarrow Br_2 + 2Na[/tex]
When NaBr(aq) is electrolyzed, the following reactions occur at the electrodes:
At the anode (positive electrode): Br- ions are oxidized to Br2 gas and electrons.
[tex]\rm 2Br^- \rightarrow Br_2 + 2e^-[/tex]
The reaction at the anode involves the oxidation of bromide ions to bromine gas.
At the cathode (negative electrode): Na+ ions are reduced to Na metal and electrons.
[tex]\rm 2Na^+ + 2e^- \rightarrow 2Na[/tex]
The reaction at the cathode involves the reduction of sodium ions to sodium metal.
Therefore, when NaBr(aq) is electrolyzed, bromine gas and sodium metal are produced.
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Give the percent yield when 28. 16 g of co2 are formed from the reaction of 6. 000 moles of c8h18 with 3. 000 moles of o2.
25% of carbon dioxide gas is produced. when 6. 000 moles of c8h18 and 3. 000 moles of o2 react to produce 28. 16 g of co2.
The meaning of percent yield
The actual yield is calculated as the theoretical yield multiplied by 100 to get the percent yield. Actual Yield / Percent Yield Theory Yield) = 100% There are various reasons why a chemical reaction's actual yield could be lower than its theoretical yield; these will be covered in more detail in later chapters of the course.
What does a high yield percentage indicate?
Yield percentages might range from more than 100% to less than 100%. A higher yield % can be a sign that there is water in your product, too much reactant, or other contaminants. decreased percent
Briefing:
Theoretical mass of
co2= no.of moles×molecular mass of co2=2.56mol*44g/mol=112.64g
Experimental mass of co2 = 28.16 g
percentage yield=28.16*100/112.64=25%
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do the equilibrium concentrations of the reactants and products depend on their initial concentrations?
The value of Keq is unaffected by the initial concentrations, despite the fact that the equilibrium concentrations of the reactants and products are. No matter the initial concentrations, the equilibrium state will always be reached (same Keq).
The equilibrium constant of a chemical reaction depends only on temperature. The initial concentrations will change during the reaction and will, at the end, respect the equilibrium constant. The equilibrium constant does not imply specific concentrations, but only the relation between them. Therefore, for a reaction in equilibrium, shifting to the right will result in a decrease in one of the reactants if the concentration of one of the reactants, such as hydrogen or nitrogen, is increased. The temperature is constant when melting. This is due to the fact that heat energy is not used to increase temperature but rather is absorbed by the particles to dissipate forces between them.
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a mixture of 0.220 moles rn, 0.350 moles o2 and 0.640 moles ar has a total pressure of 1.65 atm. what is the partial pressure in atm of o2?
The partial pressure in atm of O2 is 0.47 atm
What do you mean by moles?
A mole is simply a unit of measurement. In fact, it's one of the seven base units in the International System of Units (SI). Units are invented when existing units are inadequate. Chemical reactions often take place at levels where using grams wouldn't make sense, yet using absolute numbers of atoms/molecules/ions would be confusing, too. So, scientists invented the mole to bridge the gap between very small and very large numbers.
No. of moles of Rn = 0.220 moles
No. of moles of O2 = 0.350 moles
No. of moles of Ar = 0.640 moles
Total no. of moles = 1.21 moles
Mole fraction of O2 , xO2 = 0.350moles / 1.21 moles = 0.289
Total pressure = 1.65 atm
Partial Pressure of O2 = Mole fraction of O2* Total Pressure
= 0.289 * 1.65 atm
= 0.47 atm
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based on what you wrote in the table in part a, what effect do lone pairs have on the bond angle? why do you think this happens?
Because they are more in close proximity to the core atom's nucleus than lone pairs are, lone pairs reject other lone pairs more strongly than bonding pairs do effect the bond angle.
When a single pair of electrons at the central atom begins to resist the bound pair of electrons, the bond angle decreases and the bonds are slightly shifted inward. It moves existing atoms closer together and modifies their geometry. It's equivalent to include an atom. When there is an increase in back bonding, the bond angle rises. Because the lone pair electrons of the two atoms reject one another, adjacent atoms in a molecule that have lone pair electrons will not be kept together in their bond as securely.
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write the balanced equation for the yeast using glucose to produce energy, ethanol and carbon dioxide.
the balanced equation for the yeast using glucose to produce energy, ethanol and carbon dioxide.
C12H22O11+H2O →4C2H5OH+4CO2
The production of medicines, polymers, lacquers, polishes, plasticizers, and cosmetics all need ethanol. In medicine, ethanol is employed as a topical anti-infective and as an antidote for methanol or ethylene glycol overdose. The toxicity of ethanol is rather low. To ensure microbiological stability when used as the only preservative in beverages, minimum concentrations of 18 to 21% by volume are needed. The majority of the alcohol you consume is broken down by your liver so it may be eliminated from your system. As a result, chemicals that are even more dangerous than alcohol are produced. These compounds have the potential to harm liver cells and result in significant liver conditions. 4 out of 5 liver disease deaths are related to alcohol.
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what is the abbreviated nomenclature for octadecanoic acid with two double bonds (don't worry about the designation of where those bonds occur)? 18:2 o 16:1 o 14:2 o 18:1 o 18:0
The abbreviation of octadecenoic acid with two double bonds is 18:2.
Nomenclature
Nomenclature is a system of naming objects within a certain profession or field. For instance, in biology, we have learned about binomial nomenclature. Binomial nomenclature alludes to the practice of designating living things by two names, such as referring to people as Homo sapiens.
A system of names and terminology used in a specific community or field of study is also referred to as nomenclature. The terminology that is used in sculpting is one example, a group of names or phrases. Naming of the chemical compounds or living organisms is done on the basis of nomenclature.
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the accumulation of acetaldehyde throught the consumption of alchol or by the use of the drug antabuse produces a feeling of
The accumulation of acetaldehyde throught the consumption of alchol or by the use of the drug antabuse produces a feeling of hangover.
This is because acetaldehyde is toxic and can cause a variety of symptoms, such as headache, nausea, dizziness, fatigue and dehydration. It is also believed to be partly responsible for the alcoholic flushing reaction seen in some people. Acetaldehyde is also known to increase the risk of certain types of cancer, especially in heavy drinkers.
What is acetaldehyde?Is a colorless, flammable, and pungent-smelling chemical compound. It is a reactive intermediate in a wide range of metabolic processes, and it is also an important industrial chemical used in the production of pharmaceuticals, plastics, and other chemicals.
Acetaldehyde is also a toxic air contaminant and is classified as a probable human carcinogen.
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What happened when force was applied to the ionic crystal? describe interactions between the ions within the crystal.
Similar ions repel one another and the crystal lattice breaks as a result of the powerful electrostatic interactions.
High melting points are found in ionic substances. Ionic chemicals are brittle and rigid. When an ionic chemical is dissolved in water, it separates into ions. Ionic compound solutions and melting forms of these substances carry electricity, while solid materials do not. The chemical formula of an ionic compound is metal + nonmetal or polyatomic ions.
Ionic networks, also known as lattices, are formed when these oppositely charged ions attract one another. Why this occurs is explained via electrostatics: Like charges repel while opposing charges attract. The result of many ions attracting one another is the formation of massive, organized crystal lattices where each ion is surrounded by ions with the opposing charge.
Hence, ionic bond species repel each other when reach too much closer.
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at a certain concentration of h2 and i2, the initial rate of reaction is 98.0 m / s. what would the initial rate of the reaction be if the concentration of h2 were doubled? be sure your answer has the correct number of significant digits
Learn the concentration and beginning rate in order to determine the correct number of significant digits. The starting rate of reaction is 98.0 m/s at a specific concentration of h2 and i2.
What, using an example, is concentration?
1) Percent Concentration:
The amount of solute that completely dissolves in 100 g of solvent. We know that there are 20 g of solute in 100 g of solution if the solution's concentration is 20 percent. Example: The solution is made by combining 10 g of salt with 70 g of water. Find the solution's concentration using mass percent.
What would you say about concentration?
The amount of solute contained in a specific amount of solution is the substance's concentration. Typically, concentrations are described in terms of molarity, which is the number of
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Partial bonding, for example, as part of a resonance hybrid, often results in structures with _____.
Answer:
fractional bond orders
Explanation:
because fractional bond orders
explain why it is usually easier to calculate an enzyme's reaction velocity from the rate of appearance of product rather than the rate of
In most circumstances, it is easier to calculate an enzyme's reaction velocity than to calculate the rate at which a SUBSTRATE disappears.
What role does an enzyme play? It is what?
Enzymes are made of proteins, which are the fundamental units of all living things. They serve as catalysts, accelerating metabolic reactions beyond what they would have done on their own. Simply said, without enzymes, such reactions wouldn't occur or would occur too slowly to support life.
What does the word "enzyme" actually mean?
A specific kind of biological catalyst called an enzyme is almost always a protein. It speeds up a particular chemical reaction in the cell. The enzyme is continually employed during the reaction and is not lost.
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If exactly one molecule of solute is present in 1. 00 l of solution, what is the concentration of the solution?.
The concentration is 1.66x10-24 M if there is exactly one molecule of the solute in one litre of solution.
In this situation, 1 mole is defined as 6.02x10²³ particles, or molecules. As a conversion factor, consider the following:
1 mole = 6.02 x 10²³ molecules.
When only 1 molecule of the solute is present, use this conversion factor to determine moles of the solute:
1.66x10-24 moles are equal to (1 molecule)/((1 mole)/(6.02x1023 molecules)).
Only moles remain after the molecules cancel.
By definition, concentration is the number of moles of a solute per litre. Divide the volume, in this case 1.0L, by the 1.66x10-24 moles to get:
1.66x10-24 molar, or
1.66x10-24 M, = (1.66x10-24 moles solute)/(1.0 litre).
What is a molecule's chemical formula?
Subtract the compound's molar mass from the empirical formula mass. A whole number or a number very close to a whole number must be the result. Divide each subscript in the empirical formula by the full number from step 2 to get the result. The end outcome is the molecular equation.
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A metal cools from an initial temperature of 225 oc to 25 oc and releases 160 j of heat energy. If the mass of the metal is 5. 0 g, what is its specific heat capacity?.
When a material is cooled from a temperature of 225 ° c temperature to 25 oC, 160 j worth heat energy are released. H=0.17 J/g*C is the metal's specific heat capacity if its mass is 5.0 g.
Describe heat.Heat is the interchange of "thermal" energy caused by a temperature difference. Consider a system that is isolated and has two components that are initially running at different temperatures. Energy is transmitted from the large heat subsystem 2 to the cooler temperature subsystem 2.
Why is heat produced?Atoms and molecules move more quickly and clash when the temperature rises, producing excess heat (also known as heat energy). The energy that comes from a heated substance's temperature is known as thermal energy.
Briefing:=160 J released
=5.0 g metal
=A temperature change of (225-35) or 190C.
=160J/(5.0g*190C) = 0.1684 J/g*C
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calculate the molar concentration of so4 2- in a solution made by dissolving 55.0 grams of al2(so4)3 in enough water to produce 2.00 l of solution.
The molar concentration of [tex] {SO_{4}}^{2 - } [/tex] is 2.4
Firstly understanding the concentration [tex] {SO_{4}}^{2 - } [/tex], which will be 3. Hence, each molecule will release three sulphate ions.
Molar concentration = number of moles ÷ volume of solution in litres
Molar mass of aluminium sulphate = 342 g/mol
Number of moles = 55/342
Performing division
Number of moles = 0.16
Molar concentration = 0.16/2
Performing division
Molar concentration = 0.8
Molar concentration of sulphate ions = 0.8 × 3
Molar concentration of sulphate ions = 2.4
Thus, the molar concentration is 2.4.
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Consider heptane, a linear compound composed of 7 carbons and 16 hydrogens. In this experiment, would you expect this compound to have a small or large retention factor in this experiment?.
The compound have large retention factor in the experiment.
Definition of retention factor and its formula
Retention factor is one of the useful chromatographic descriptor since it is dimensionless and independent of the flow rate and column dimensions of mobile phases. The formula for retention time is given as follows,
k = tR – toto.
The retention factor may be affected by the temperature, and affected by the composition of the solvent, when the FM are liquid.
Heptane is a derivative of the distillation of oil, Heptane is a chemical compound that is made up of seven carbons, that is why it begins with the prefix "hept".
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A chunk of dry ice, solid co2, disappears after sitting at room temperature for a while. There is no puddle of liquid. What happened?.
Answer:
When dry ice (solid carbon dioxide) is exposed to room temperature, it sublimates, meaning it changes directly from a solid to a gas. This process is known as sublimation and is why dry ice "disappears" when left at room temperature. As the dry ice sublimates, it releases carbon dioxide gas into the air.
draw the lewis structure for the polyatomic hydronium anion. be sure to include all resonance structures that satisfy the octet rule.
The polyatomic hydronium cation's Lewis structure is H3O+.
The hydronium ion is denoted by the symbol H3O+, and it will have 8 valence electrons to comply with the octet rule.
the quantity of valence electrons is:
First H atom has one valence electron, whereas the second H atom has a similar amount of valence electrons. Third H atom has one more valence electron than O, which has six.
The plus sign indicates that one electron has been lost, and as oxygen is the most electronegative element, it is the center atom. Consequently, it possesses eight valence electrons. Here is an illustration of the Lewis structure:
[ H - O : - H ]⁺
|
H
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What happens to the chemistry of the seawater as more co2 is absorbed into the oceans?.
Answer:
As more CO2 is absorbed into the oceans, the chemistry of the seawater changes. The pH of the seawater decreases, making it more acidic. This can have a negative effect on marine life, as many species are sensitive to changes in pH. Additionally, the increased acidity can cause the dissolution of calcium carbonate, which is an important component of coral reefs and other marine habitats.
identify all resonance structures for the following radical. there may be more than one correct anwserTo receive credit, make sure to select all that apply.
For the following radical, all the resonant structures listed in the options are correct.
The process of finding resonant structures for a given radical begins with drawing the Lewis structure of the radical. This includes connecting the atoms in the radical with single bonds and placing the lone electron pair on the atom with the highest electronegativity.
Once the Lewis structure is drawn, the radical can be examined to determine possible resonance structures. Resonance involves the movement of electrons to create different structures with the same overall charge and atom connectivity. In some cases, the lone electron pair may move to form a double bond or vice versa.
It is important to remember that resonance is a dynamic process, meaning that the electrons are constantly moving between the different structures. This means that all of the resonance structures should be drawn and considered when evaluating the resonance of a radical.
Once all of the resonance structures are drawn, the relative stability of each structure can be assessed. This is done by evaluating the formal charges of the atoms in each structure and determining which structure has the most stable charge distribution. The most stable resonance structure will usually be the one with the lowest overall formal charges.
Once the most stable resonance structure is determined, the other resonance structures can be assessed to determine the degree of resonance. The resonance energy of a radical is typically assessed by determining the difference in energy between the most stable resonance structure and the other structures.
Overall, finding resonant structures for a given radical involves drawing the Lewis structure of the radical, determining possible resonance structures, and evaluating the relative stability of each structure. By doing this, it is possible to identify the most stable resonance structure and determine the degree of resonance of the radical.
By doing so, we get all the given structures are resonant structures as they show homolytic cleavage of π bonds to the given radical. The image attached below gives a clear understanding of the resonance.
Hence, all the structres are correct.
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How much heat is needed to condense 22.25 grams of nitrogen gas at â€""195.8°c? the latent heat of vaporization of nitrogen is 199.0 j/g. joules
As per the question, the mass of the nitrogen gas m = 22.25 gram.
The latent heat of vaporization of nitrogen = 199.0 j/g
As per the question, the nitrogen gas will condense. During condensation, the nitrogen gas will lose or release heat equal to its latent heat.
Hence, the heat released by nitrogen gas Q = ml = 22.25 × 199.0 J = 4427.75 J.
Hence, the amount of heat released will be 4427.75 J.
How can you figure out how much heat is in each gram?The formula: can be utilized to determine energy. Q = mc ∆T. In the equation, Q stands for energy expressed in joules or calories, m for mass expressed in grams, c for specific heat, and T for temperature change, which is the difference between the final temperature and the initial temperature. Water has a specific heat of 1 calorie/gram °C.
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a 3.50 gram sample of ch4 is burned in a calorimeter. the calorimeter is filled with 35.0 grams of water. the temperature of a calorimeter increases from 25.0°c to 30.0°c. calculate the energy lost or gained by the reaction.
The energy that an object gains or loses is related by the equation (Q = m•C•T). since a positive value means that heat was added to the system. The heat can be gained or lost without change in temperature.
How to solve?by the equation (Q = m•C•T)
m=3.50g
C=35
T=+5°c
Q=3.50*35*(+5oC)=612.5.
What is the equation for energy acquired or lost?An object's heat uptake or loss and the resulting temperature variations are related by the description above and the following equation (Q = m•C•T). We now know that heat can occasionally be gained or lost without a corresponding change in temperature. When the substance is changing states, this is what happens.
What is heat amount and what is its unit?the amount of heat needed to raise a substance's temperature by one degree Celsius or one kelvin per unit mass.It has the symbol c. joule per kg kelvin is the SI unit. In the SI system, all types of energy are measured in (J/kg K)joules. Because heat is a form of energy, the SI unit for heat is also joules (J), and it is defined as the quantity of energy required to increase the temperature of a given mass by one degree. This is significant because heat is a form of energy.
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after 21 days, a radioactive substance has decayed to 30.5% of its original amount. after an additional 51 days, what percent of its original amount will it have decayed to
Use the half-life calculator to analyze radioactive decay the substance will have decayed after the time the half-life has elapsed.
Radionuclides or radioactive substances are a class of chemical compounds where the nucleus of the atom is risky. They obtain balance via changes in the nucleus's spontaneous fission, emission of alpha debris, or conversion of neutrons to protons or the reverse.
Radon is a radioactive gasoline that has no color, odor, or flavor. Radon comes from the decay of uranium, which is a radioactive detail found naturally within the Earth's crust. Over billions of years, uranium decays into radium, and finally into radon.
Radioactive sources are used to observe dwelling organisms, diagnose and deal with diseases, sterilize clinical units and food, produce energy for heat and electric electricity, and to screen diverse steps in all types of business methods.
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The hydronium ion, H3O+, is a ________.Check all that apply.very strong baseproton acceptorpolyatomic ionproton donorunique form of waterpolyatomic ionproton donor
The hydronium ion, H3O+, is a polyatomic ion. very strong base proton acceptor polyatomic ion proton donor unique form of water polyatomic ion proton donor.
A polyatomic ion, often called a molecular ion, is a collection of covalently bound atoms or a metal complex that can be thought of as acting as a single unit and has a net charge that is not zero. Depending on the definition, a polyatomic ion may or may not be referred to as a "molecule".
Protonated water, also referred to as the hydronium ion, can be found in all aqueous acidic solutions. The aqueous cation H3O+, a particular kind of oxonium ion created by protonating water, is known by the name hydronium ion. It is frequently thought of as the positive ion that forms when an Arrhenius acid dissolves in water because Arrhenius acid molecules in solution give a proton to the nearby water molecules.
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when a cold drink is taken from a refrigerator, its temperature is 5°c. after 25 minutes in a 20°c room its temperature has increased to 10°c. (round your answers to two decimal places.)
Temperature after 40 minutes is 12.15 degree C
T= [tex]Ce^{kt}[/tex] +Ts
Setting T=T0 (initial temperature of cold drink) at t=0 then we have
T0= [tex]Ce^{0}[/tex]+ Ts ⟺ C=T0−Ts
Now, we have
T=(T0−Ts)ekt+Ts
ekt=T−TsT0−Ts
t=1kln(T−TsT0−Ts)(1)
Given condition: Temperature rise of cold drink from T0=5∘ C→T=10∘ C in time t=25 minutes & Ts=20 degree celsius substituting values in (1) we get
25=1kln(10−205−20)
k=125ln(23)
a) Temperature T after t=40 minutes, setting corresponding values in (1), we get
40=1125ln(23)ln(T−205−20)
ln(20−T15)=4025ln(23)
20−T15=(23)8/5
T=20−15([tex]2/3^{8/5}[/tex]) ≈ 12.15 degree C
Temperature is a unit used to represent how hot or cold something is. It can be stated using the Celsius or Fahrenheit scales, among others. Temperature shows which way heat energy will naturally flow, i.e., from a hotter (body with a higher temperature) to a colder (body with a lower temperature) (one at a lower temperature)
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