Let the rate law be given by: Rate = k[A]x[B]y, where x and y are the orders of the reaction with respect to A and B respectively.
From the given data:
Comparing the first and second rows (keeping [B] constant):
\[\frac{4\times10^{-3}}{2\times10^{-3}}=\frac{k[0.2]^{x}[0.1]^{y}}{k[0.1]^{x}[0.1]^{y}}\]
\[2=2^{x}\]
\[x=1\]
Comparing the second and third rows (keeping [A] constant):
\[\frac{1.6\times10^{-2}}{4\times10^{-3}}=\frac{k[0.2]^{x}[0.2]^{y}}{k[0.2]^{x}[0.1]^{y}}\]
\[4=2^{y}\]
\[y=2\]
Therefore, the order of the reaction with respect to A is 1, and with respect to B is 2.
List I | List II | ||
A | Down’s syndrome | I | 11th chormosome |
B | α-Thalassemia | II | ‘X’ chromosome |
C | β-Thalassemia | III | 21st chromosome |
D | Klinefelter’s syndrome | IV | 16th chromosome |
The velocity (v) - time (t) plot of the motion of a body is shown below :
The acceleration (a) - time(t) graph that best suits this motion is :