The catalytic reaction $A+BC+D$ was studied in a differential reactor. Which of the following

rate laws fits the experimental rate data? $(10$ points$)$

a$)-r_A=k_1{P}_A{P}_B^2$

b$)-r_A=\frac{k_1{P}_A{P}_B^2}{(1+k_2{P}_A)}$

c$)-r_A=\frac{k_1{P}_A{P}_B^2}{(1+k_2{P}_D)}$

d$)-r_A=\frac{k_1{P}_A{P}_B}{(1+k_2{P}_A+k_3{P}_D)}$

e$)-r_A=\frac{k_1{P}_A{P}_B}{(1+k_2{P}_D{)}^2}$