For the reaction A_ (g) B_ (g) +C_ (g) , the rate constant is given as (P_i . is initial pressure and P_t is pressure at time t )

Step-by-step solution

For the reaction, A_ (g) B_ (g) +C_ (g) array llll t=0 & P_i & 0 & 0 t & (P_i-x ) & x & x array Given: P_i is initial pressure at time, t=0 and P_t is pressure at time ' t '. P_t= (P_i-x )+x+x=P_i+xx=P_t-P_i Here, P_A=P_i-x P_i- (P_t-P_i )P_A=2 P_i-P_tk= 2.303 t P_i P_A k= 2.303 t P_i (2 P_i-P_t )