For the first order reaction, A(g) to B(g) + C(g) + D(s) taking place at constant pressure and temperature condition. Initially, volume of the container containing only A, was found to be 100 l and after time 13.86 minute. it was 150 l. Rateconstant for the reaction is (Use ln 2 = 0.693).

For the first order reaction, A(g) to B(g) + C(g) + D(s) taking plac

1.	For the first order reaction, A(g) to B(g) + C(g) + D(s) taking place at constant pressure and temperature condition. Initially, volume of the container containing only A, was found to be 100 l and after time 13.86 minute. it was 150 l. Rateconstant for the reaction is (Use ln 2 = 0.693).
Answer» `5xx10^(-2) "min"^(-1)` `2xx10^(-2) sec^(-1)` `5xx10^(-2) sec^(-1)` `4xx10^(-2) sec^(-1)` Solution :`A(g) to B(g) + C(g) + D(s)` `{:(t=0,, a,-,-,-),(t ,,(a-x),x,x,-):}` `PV = nRT` `V prop n` (at const. P & T) `V_(0) prop a` `V_(t) prop (a+x)` `implies x prop (v_(t)-v_(0))` `K = 1/t 1n(V_0)/(2V_(0)-V_(t))` `=2/(13.86) 1n 100/(200-150)` `=1/20 min^(-1)`.