Question

During Kinetic study of reaction 2A + B → C + D, the following results were obtained :

	A[M]	B[M]	initial rate of formation of D
I	0.1	0.1	\(6.0 \times 10^{-3}\)
II	0.3	0.2	\(72 \times 10^{-2}\)
III	0.3	0.4	\(2.88 \times 10^{-1}\)
IV	0.4	0.1	\(2.40 \times 10^{-2}\)

Based on above data, overall order of the reaction is ……

Answer 1

Correct answer is : 3

\( \mathrm{r}=\mathrm{K}[\mathrm{A}]^{\mathrm{x}}[\mathrm{B}]^{\mathrm{y}} \)

\((\mathrm{I}) \,6 \times 10^{-3}=\mathrm{K}[0.1]^{\mathrm{x}}[0.1]^{\mathrm{y}} \)

\((\mathrm{IV}) \,2.4 \times 10^{-2}=\mathrm{K}[0.4]^{\mathrm{x}}[0.1]^{\mathrm{y}}\)

\((\mathrm{IV}) /(\mathrm{I})\)

\(4=(4)^{\mathrm{x}} \)

\(\mathrm{x}=1\)

\(\mathrm{r}=\mathrm{K}[\mathrm{A}]^{\mathrm{x}}[\mathrm{B}]^{\mathrm{y}}\)

\(\text {(III) } 2.88 \times 10^{-1}=\mathrm{K}[0.3]^{\mathrm{x}}[0.4]^{\mathrm{y}}\)

\(\text {(II) } 7.2 \times 10^{-2}=\mathrm{K}[0.3]^{\mathrm{x}}[0.2]^{\mathrm{y}}\)

\((III)/(II)\)

\(4=2^y\)

\( y=2\)

Overall order = x + y = 1 + 2 = 3

Answer 2

Hope this helps