calculate the equilibrium constant for the reaction h2 + co2- h2o at 1395k if the equilibrium constant at 1395k for - Chemistry - Equilibrium

Question

calculate the equilibrium constant for the reaction h2 +
co2->h2o at 1395k if the equilibrium constant at 1395k for the
following are

Sourabh Kumar · Accepted Answer

Dear Student,
As given in the question; for first reaction, we have the following
relation
K1=[H2]2  [O2]  [H2O]2 
--------------------------1
and for second reaction

â€‹â€‹â€‹â€‹â€‹â€‹
K2= [CO]2  [O2][CO2]2    
-------------------------2
For the reaction given in question
H2 + CO2 ⇔H2O + CO

We have K = [H2O]  [CO][CO2]  [H2]
----------------------------3
On dividing equation 2 by equation 1

K2K1  =  [CO]2   [O2][CO2]2   ×   [H2O]2[H2]2   [O2]
On Cancelling O2 from above equation, and on comparing
with the equation 3, we have
K2K1=K2or      K = K2K1= 1
4×10-122 1×10-13=2
58       
Equilibrium constant = 2 58

Please let me know, if you have any doubts
Regards