1a) The reaction below reaches equilibrium in a closed reaction vessel. The enth

Question

1a)
The reaction below reaches equilibrium in a closed reaction vessel. The enthalpy change for the forward reaction is +135 kJ/mol. Does the mass of Na 2 CO 3 increase, decrease or stay the same if the mixture is transferred to a smaller reaction vessel?
2 NaHCO 3 (s) --> Na 2 CO 3 (s) + CO 2 (g) + H 2 O(g)

Find The mass of Na 2 CO 3 : ____ .

1b)
Some CH4(g), intially at 1.000 atm, is placed in an empty reaction vessel. At equilibrium, the total pressure is 1.981 atm. What is Kp for the reaction below, assuming partial pressures are in atmospheres?

2 CH4(g) --> C2H2(g) + 3 H2(g)
Enter your answer accurate to 3 significant figures.

Explanation / Answer

in the first reaction since gases are produced as product, smaller vessel would force the reaction backward and less amount of NA2CO3 would be formed
for 2
2 CH4(g) --> C2H2(g) + 3 H2(g)
t CH4 C2H2 H2 n
0 2 0 0 2
t 2-2a a 3a 2+2a
since PV = nRT
here V,R,T remain constant
thus P = kn k is constant
1 atm = 2k => k = 0.5
now 1.981 = 0.5*(2+2a) ==> a = 0.981
kp = [(P c2h2)^1 * (P h2)^3]/[(P ch4)^2] = [(a)^1 * (3a)^3]/(2-2a)^2 putting value of a gives

kp = 17316.998 Ans

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