The reaction A(g) to 2B(g) + C(g) follows first order kinetics. The reaction is started with pure 'A' in a rigid closed vessel maintained at constant temperature. After 10 s, a pin hole is developed in the vessel. If the molar ratio of gases 'A' and 'B' coming out initially is 1 : 2, the rate constant of reaction (in s^(-1) ) is (Molar masses of A, B and C are 16, 4 and 8 g/mol, respectively, ln 2 = 0.7, ln 3 = 1.1)

The reaction A(g) to 2B(g) + C(g) follows first order kinetics. The re

1.	The reaction A(g) to 2B(g) + C(g) follows first order kinetics. The reaction is started with pure 'A' in a rigid closed vessel maintained at constant temperature. After 10 s, a pin hole is developed in the vessel. If the molar ratio of gases 'A' and 'B' coming out initially is 1 : 2, the rate constant of reaction (in s^(-1) ) is (Molar masses of A, B and C are 16, 4 and 8 g/mol, respectively, ln 2 = 0.7, ln 3 = 1.1)
Answer» SOLUTION :`{:(,A,to,2B,+,C),(t=0,a mol, ,0, ,0),(t=10"sec",(a-x) mol, ,2x mol, ,x mol):}` Now, `(r_A)/(r_B) = (P_A)/(P_B) sqrt((M_B)/(M_A)) implies 1/2 = (a-x)/(2x) cdot sqrt(4/16)` `implies x = a/3` Now, `K = 1/t cdot 1N a/(a-x) = 1/(10 "sec")cdot 1n(a)/((2a)/(3))`.