The initial rates for A + B -> C at a fixed temperature are: (1) [A] = 0.10, [B] = 0.10 M, rate =2.0x10^-3 M s^-1; (2) [A] = 0.20, [B] = 0.10 M, rate =8.0x10^-3 M s^-1; (3) [A] = 0.10, [B] = 0.30 M, rate =6.0x10^-3 M s^-1. The rate law is

JEE Main levelSingle correct optionDifficulty 2 of 3ck012

The initial rates for $A + B C$ at a fixed temperature are: (1) $[A] = 0.10$ , $[B] = 0.10 M$ , rate $= 2.0 \times 1 0^{- 3} M s^{- 1}$ ; (2) $[A] = 0.20$ , $[B] = 0.10 M$ , rate $= 8.0 \times 1 0^{- 3} M s^{- 1}$ ; (3) $[A] = 0.10$ , $[B] = 0.30 M$ , rate $= 6.0 \times 1 0^{- 3} M s^{- 1}$ . The rate law is

Compare (1) and (2): [B] fixed, [A] doubled, rate ratio

= 4 = 2^{2}

, so order in A is 2. Compare (1) and (3): [A] fixed, [B] tripled, rate ratio

= 3 = 3^{1}

, so order in B is 1. Hence rate

= k [A]^{2} [B]