General Chemistry - Standalone book (MindTap Course List)
General Chemistry - Standalone book (MindTap Course List)
11th Edition
ISBN: 9781305580343
Author: Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; Darrell
Publisher: Cengage Learning
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Chapter 13, Problem 13.150QP

Nitrogen dioxide reacts with carbon monoxide by the overall equation

NO 2 ( g ) + CO ( g ) NO ( g ) + CO 2 ( g )

At a particular temperature, the reaction is second order in NO2 and zero order in CO. The rate constant is 0.515 L/(mol · s). How much heat energy evolves per second initially from 3.50 L of reaction mixture containing 0.0275 M NO2? See Appendix C for data. Assume the enthalpy change is constant with temperature.

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Interpretation Introduction

Interpretation:

The amount of heat energy liberated by from 3.50L of solution per second has to be calculated.

Concept Introduction:

The rate of reaction is the quantity of formation of product or the quantity of reactant used per unit time.  The rate of reaction doesn’t depend on the sum of amount of reaction mixture used.

The raise in molar concentration of product of a reaction per unit time or decrease in molarity of reactant per unit time is called rate of reaction and is expressed in units of mol/(L.s) .

Integrated rate law for first order reaction:

Consider A as substance, that gives the product based on the equation,

aAproducts

Where a= stoichiometric co-efficient of reactant A.

Consider the reaction has first-order rate law,

Rate=-Δ[A]Δt=k[A]

The integrated rate law equation can be given as,

ln[A]t[A]o=-kt

The above expression is called integrated rate law for first order reaction.

To determine the amount of heat energy liberated

Answer to Problem 13.150QP

Answer

The amount of heat liberated is found to be -0.308 kJ/s .

Explanation of Solution

Given,

Rate constant for decomposition = 0.515L/(mol.s)

Volume and Molarity of Hydrogen peroxide = 3.50L&0.0275M

The first order rate law is used to calculate the initial rate of decomposition given as,

Rate = k[NO2]2

Rate = (0.515L/(mol.s))×(0.0275MNO2)2

Rate= 3.894×10-4MNO2/s

The heat liberated per second in per mol of NO2 is calculated by calculating the standard enthalpy of decomposition of one mol of NO2

NO2(g)+CO(g)NO(g)+CO2(g)ΔH°f=33.10kJ/mol110.5kJ/mol90.29kJ/mol-393.5kJ/mol

The change in standard enthalpy is

ΔH°=90.29-393.5-(33.10)-(-110.5)ΔH°=-225.81 kJ/mol

The heat liberated per second is calculated as,

-225.81kJmolNO2×3.894×10-3molNO2L.s×3.50L=-0.3077=-0.308kJ/s

Conclusion

The amount of heat energy liberated by from 3.50 L of solution per second was calculated using rate of first order rate law and the change in standard enthalpy.  The amount of heat liberated per second was found to be -0.308 kJ/s .

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Chapter 13 Solutions

General Chemistry - Standalone book (MindTap Course List)

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Your lab...Ch. 13 - At a constant temperature, which of the following...Ch. 13 - Consider the reaction E+FG+H, which has the...Ch. 13 - The hypothetical reaction A+B+CD+E has the rate...Ch. 13 - Kinetics I Consider the hypothetical reaction A(g)...Ch. 13 - Kinetics II You and a friend are working together...Ch. 13 - Consider the reaction 3A2B+C. a One rate...Ch. 13 - Given the reaction 2A+BC+3D, can you write the...Ch. 13 - The reaction 2A(g)A2(g) is being run in each of...Ch. 13 - Prob. 13.32QPCh. 13 - You perform some experiments for the reaction AB+C...Ch. 13 - A friend of yours runs a reaction and generates...Ch. 13 - Prob. 13.35QPCh. 13 - You carry out the following reaction by...Ch. 13 - Prob. 13.37QPCh. 13 - The chemical reaction AB+C has a rate constant...Ch. 13 - Relate the rate of decomposition of NH4NO2 to the...Ch. 13 - For the reaction of hydrogen with iodine...Ch. 13 - To obtain the rate of the reaction...Ch. 13 - To obtain the rate of the reaction...Ch. 13 - Ammonium nitrite, NH4NO2, decomposes in solution,...Ch. 13 - Iron(III) chloride is reduced by tin(II) chloride....Ch. 13 - Azomethane, CH3NNCH3, decomposes according to the...Ch. 13 - Nitrogen dioxide, NO2, decomposes upon heating to...Ch. 13 - Hydrogen sulfide is oxidized by chlorine in...Ch. 13 - For the reaction of nitrogen monoxide, NO, with...Ch. 13 - Prob. 13.49QPCh. 13 - Prob. 13.50QPCh. 13 - In experiments on the decomposition of azomethane....Ch. 13 - Ethylene oxide. 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