General Chemistry
General Chemistry
4th Edition
ISBN: 9781891389603
Author: Donald A. McQuarrie, Peter A. Rock, Ethan B. Gallogly
Publisher: University Science Books
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Chapter 19, Problem 19.82P
Interpretation Introduction

Interpretation:

The percentage of I2(g) that will be converted to HI(g) for the given reaction has to be calculated.

  H2(g)+I2(g)2HI(g),KP=54.4

Concept Introduction:

Relationship between KPandKC:

  KP=KC(RT)Δνgas

Where, Δνgas is the difference between the stoichiometric coefficients of the products and reactants in gaseous phase.

Expert Solution & Answer
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Explanation of Solution

The reaction is given below.

  H2(g)+I2(g)2HI(g)KP=[HI]2[H2][I2]=54.4

The value of KC for the above reaction can be calculated as given below.

  Δνgas=22=0KP=KC(RT)ΔνgasKP=KC(RT)0KC=54.4

The initial concentration of H2(g)andI2(g) can be calculated as given below.

  [H2]=MolesVolume=0.200mole1.00L=0.2M[I2]=MolesVolume=0.200mole1.00L=0.2M

A concentration table can be set up as given below.

  Concentration(M)H2(g)+I2(g)2HI(g)Initial0.20.20Changexx+2xEquilibrium0.2x0.2x2x

Substitute the equilibrium concentrations into the equilibrium – constant expression as shown below.

  Kc=[HI]2[H2][I2]=54.4(2x)2(0.2x)2=54.450.4x221.76x+2.176=0x=0.274,0.157

The value 0.274 will give negative concentration value; therefore, this value is rejected.  The value 0.157 is accepted.

The composition of the equilibrium reaction mixture is given below.

  [H2]=0.2x=0.20.157=0.043M[I2]=0.2x=0.20.157=0.043M[HI]=2x=2×0.157=0.314M

The percentage of I2(g) that will be converted to HI(g) for the given reaction can be calculated as given below.

  %I2(g)convertedtoHI(g)=ChangeInitial×100=0.1570.2×100=78.5%

Therefore, the percentage of I2(g) that will be converted to HI(g) is 78.5%.

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Chapter 19 Solutions

General Chemistry

Ch. 19 - Prob. 19.11PCh. 19 - Prob. 19.12PCh. 19 - Prob. 19.13PCh. 19 - Prob. 19.14PCh. 19 - Prob. 19.15PCh. 19 - Prob. 19.16PCh. 19 - Prob. 19.17PCh. 19 - Prob. 19.18PCh. 19 - Prob. 19.19PCh. 19 - Prob. 19.20PCh. 19 - Prob. 19.21PCh. 19 - Prob. 19.22PCh. 19 - Prob. 19.23PCh. 19 - Prob. 19.24PCh. 19 - Prob. 19.25PCh. 19 - Prob. 19.27PCh. 19 - Prob. 19.28PCh. 19 - Prob. 19.29PCh. 19 - Prob. 19.30PCh. 19 - Prob. 19.31PCh. 19 - Prob. 19.32PCh. 19 - Prob. 19.33PCh. 19 - Prob. 19.34PCh. 19 - Prob. 19.35PCh. 19 - Prob. 19.36PCh. 19 - Prob. 19.37PCh. 19 - Prob. 19.38PCh. 19 - Prob. 19.39PCh. 19 - Prob. 19.40PCh. 19 - Prob. 19.43PCh. 19 - Prob. 19.44PCh. 19 - Prob. 19.45PCh. 19 - Prob. 19.46PCh. 19 - Prob. 19.47PCh. 19 - Prob. 19.48PCh. 19 - Prob. 19.49PCh. 19 - Prob. 19.50PCh. 19 - Prob. 19.51PCh. 19 - Prob. 19.52PCh. 19 - Prob. 19.53PCh. 19 - Prob. 19.54PCh. 19 - Prob. 19.55PCh. 19 - Prob. 19.56PCh. 19 - Prob. 19.57PCh. 19 - Prob. 19.58PCh. 19 - Prob. 19.59PCh. 19 - Prob. 19.60PCh. 19 - Prob. 19.61PCh. 19 - Prob. 19.62PCh. 19 - Prob. 19.63PCh. 19 - Prob. 19.64PCh. 19 - Prob. 19.65PCh. 19 - Prob. 19.66PCh. 19 - Prob. 19.67PCh. 19 - Prob. 19.68PCh. 19 - Prob. 19.69PCh. 19 - Prob. 19.70PCh. 19 - Prob. 19.71PCh. 19 - Prob. 19.72PCh. 19 - Prob. 19.73PCh. 19 - Prob. 19.74PCh. 19 - Prob. 19.75PCh. 19 - Prob. 19.76PCh. 19 - Prob. 19.77PCh. 19 - Prob. 19.78PCh. 19 - Prob. 19.79PCh. 19 - Prob. 19.80PCh. 19 - Prob. 19.81PCh. 19 - Prob. 19.82PCh. 19 - Prob. 19.83PCh. 19 - Prob. 19.84PCh. 19 - Prob. 19.86PCh. 19 - Prob. 19.91PCh. 19 - Prob. 19.92PCh. 19 - Prob. 19.93PCh. 19 - Prob. 19.94P
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