Consider a first order gas phase decomposition reaction given below:
`A(g) to B_(g) + C_(g)`
The initial pressure of the system before decomposition of A was `p_(i)`. After lapse of time `t'`. Total pressure of the system increased by x units and became `P_(t)`. the rate constant k for the reaction is given as

Options

A. `k=(2.303)/(t)log""(P_(i))/(P_(i)-x)`
B. `k=(2.303)/(t)log""(P_(i))/(2P_(i)-P_(t))`
C. `k=(2.303)/(t)log""(P_(i))/(2P_(i)+P_(t))`
D. `k=(2.303)/(t)log""(P_(i))/(P_(i)+x)`

Answer

B