For the non-stoichiometric reaction 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 (molL1S−1) |
0.1M |
0.1M |
1.2×10−3 |
0.1M |
0.2M |
1.2×10−3 |
0.2M |
0.1M |
2.4×10−3 |
dcdt=k[A]
(i) R=k[A]x[B]y
1.2x10−3=k[0.1]x[0.1]y …(i)
1.2x10−3=k[0.1]x[0.2]y …(ii)
Divide Eq. (ii) by Eq. (i)
1=(2)y
∴ (2)0=(2)y∴y=0
(ii) 1.2x10−3=k[0.1]x[0.1]y
= k[0.1]x(∵y=0) …(iii)
2.4x10−3=k[0.2]x[0.1]0 …(iv)
Divide Eq. (iv) by Eq. (iii)
(2)1=(2)x∴x=1.
R = k[A]
Hence answer (b) is correct.