In: Chemistry
22. For which one of the following reactions is Kp equal to Kc?
a. 4NH3(g) + 5O2(g) 4NO(g) + 6H2O(g)
b. C(s) + CO2(g) 2CO(g)
c. 6CO2(g) + 6H2O(l) C6H12O6(s) + 6O2(g)
d. CaCO3(s) CaO(s) + CO2(g)
e. H2O(g) + C(s) H2(g) + CO(g)
Ans. Using the equation-
Kp = Kc (RT)dn - equation 1
Where,
Kp = equilibrium constant in term of partial pressure
Kc = equilibrium constant in term of concentration
R = Universal gas constant= 0.0821 atm L mol-1K-1
T = temperature in kelvin
dn = total number of moles of product- total number of moles of reactants
Option A. dn = (6 + 4) – (4 + 5) = 1
Option B. dn = (2) – (1 + 1) = 0
Option C. dn = (1 + 1) – (1) = 1
Option D. dn = (1 + 1) – (1 + 1) = 0
Now, when dn = 0
Kp = Kc (RT)0
Or, Kp = Kc x 1 ; (X)0 = 1; so (RT)0 =1
Hence, Kp = Kc
So, for all reactions with dn = 0, Kp = Kc.
Correct option= B, E