If the decomposition reaction A(g) B(g) follows first order kinetics, then the graph of rate of formation of B , denoted by R , against time t will be

Step-by-step solution

According to first order kinetics array lcc & A(g) B(g) at t=0 & a₀ & - at t=t & a₀-x & x array Formula for first order reaction, A_t=A₀ e^ -k t Here, A_t= concentration at time ' t ' gathered A₀= initial concentration A₀-x=A₀ e^ -k t A₀ (1-e^ -k t )=x gathered For [B]_t=x aligned & [B]_t=A₀ (1-e^ -k t ) & [B]_t=A₀-A₀ e^ -k t ...(i) aligned On comparing the above equation with y = c + mx y = rate (R), x = time (t) Slope, m=1-e^ -k t (i.e. exponentially decrease) Graph is