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← JEE Main 2014 · 6 Apr · Shift 1
ChemistrySingle correct+4 / -1Question 40 of 90

JEE Main 2014 · 6 Apr · Shift 1, Chemistry question 40

For the non - stoichiometre reaction 2 A+B→C+D\ce{2A + B -> C + D}, the following kinetic data were obtained in three separate experiments, all at 298 K.

Initial Concentration (A) Initial Concentration (B) Initial rate of formation of C (mol L−1^{-1} s−1^{-1})
0.1 M 0.1 M 1.2×10−31.2\times10^{-3}
0.1 M 0.2 M 1.2×10−31.2\times10^{-3}
0.2 M 0.1 M 2.4×10−32.4\times10^{-3}

The rate law for the formation of C is :

Choose one option
Answer and worked solution

Official answer: D

  • Doubling [B] (runs 1→2) leaves the rate unchanged: zero order in B.
  • Doubling [A] (runs 1→3) doubles it: first order in A.

So dcdt=k[A]\dfrac{dc}{dt}=k[A].