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Chapter 17: Q17.29P (page 776)

Question:Calculate Kc for each of the following equilibria:

aCOg+Cl2g⇌COCl2g;KP=3.9×10-2at1000.KbS2g+Cs⇌CS2g;Kp=28.5at500.K

Short Answer

Expert verified

Answer

Kc and Kp are related to each other through the equation given shown below:

Kp=Kc(RT)∆n

Number of moles in product side and reactant side may vary with different chemical reactions. So, substituting value of in above equation gives following Kc values.

  1. Kc = 3.2019
  2. Kc= 28.5

Step by step solution

01

Determining Kc for the given equation (a)

∆n=1-2=-1Given equation is shown below:

COg+ Cl2g⇌COCl2g

Given Kp=3.9×10-2

Relation between Kp and Kc can be given in the equation,

KP=KcRTΔn

Were,∆n=1-2=-1

So, above equation will beKp=KcRT- 1

Kp=KcRT1=3.9×10-2×0.0821×1000=3.2019

Equilibrium constant of the given equation is 3.2019

02

Determining Kc for the given equation (b)

Given equation is shown below:

S2g+ Cs⇌CS2g

Given Kp=28.5

Relation between Kp and Kc can be given in the equation,

KP=KcRT∆n

Were,∆n=1-1=0

Rearranging the above equation to find Kc then,

(RT term turns to zero)

So, value of Kc is same for Kp

Equilibrium constant of the given equation is 28.5

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Most popular questions from this chapter

The formation of methanol is important to the processing of new fuels. At 298K,KP=2.25×104for the reaction


localid="1662026070224" CO(g)+2H2(g)⇌CH3OH(I)

If∆Hran=-128kJ/molCH3OH, calculate Kpat 0°C.

Using CH4and steam as a source ofH2forNH3synthesis requires high temperatures. Rather than burningCH4separately to heat the mixture, it is more efficient to inject someO2into the reaction mixture. All of theH2is thus released for the synthesis, and the heat of reaction for the combustion ofCH4helps maintain the required temperature. Imagine the reaction occurring in two steps:

2CH4(g)+O2(g)⇌2CO(g)+4H2(g)Kp=9.34×1028at1000KCO(g)+H2O(g)⇌CO2(g)+H2(g)Kp=1.374at1000K

(a) Write the overall equation for the reaction of methane, steam, and oxygen to form carbon dioxide and hydrogen.

(b) What isKpfor the overall reaction?

(c) What isKcfor the overall reaction?

(d) A mixture of2.0molof CH4,1.0molof,O2 and2.0molof steam with a total pressure of 30atm reacts at 1000K at constant volume. Assuming that the reaction is complete and the ideal gas law is a valid approximation, what is the final pressure?

Balance each reaction and write its reaction quotient, Qc:

(a)NO(g)+O2(g)𝆏N2O3(g)(b)SF6(g)+SO3(g)𝆏SO2F2(g)(c)SCIF5(g)+H2(g)𝆏S2F10(g)+HCI(g)

An equilibrium mixture of two solids and a gas, in the reactionXY(s)⇌X(g)+Y(s), is depicted at right (X is green and Y is black). Does scene A, B, or C best represent the system at equilibrium after two formula units of Y(s) is added? Explain.

Balance each reaction and write its reaction quotient, Qc:

(a)C2H6(g)+O2(g)𝆏CO2(g)+H2O(g)(b)CH4(g)+F2(g)𝆏CF4(g)+4HF(g),(c)SO3(g)𝆏SO2(G)+O2(g),
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