| Expt. No. | (1) | (2) | Initial Rate |
| 1 | \[0.012\] | \[0.035\] | \[0.10\] |
| 2 | \[0.024\] | \[0.070\] | \[0.80\] |
| 3 | \[0.024\] | \[0.035\] | \[0.10\] |
| 4 | \[0.012\] | \[0.070\] | \[0.80\] |
A) Rate \[=K{{[B]}^{3}}\]
B) Rate \[=K{{[B]}^{4}}\]
C) Rate \[=K[A]\,{{[B]}^{3}}\]
D) Rate \[=K{{[A]}^{2}}{{[B]}^{2}}\]
Correct Answer: A
Solution :
Let the rate law be \[r={{[A]}^{x}}{{[B]}^{y}}\] Divide (3) by (1) \[\frac{0.10}{0.10}=\frac{{{[0.024]}^{x}}{{[0.035]}^{y}}}{{{[0.012]}^{x}}{{[0.035]}^{y}}}\] \[\therefore \] \[1={{[2]}^{x}},\,x=0\] Divide (2) by (3) \[\frac{0.80}{0.10}=\frac{{{[0.024]}^{x}}{{[0.070]}^{y}}}{{{[0.024]}^{x}}{{[0.035]}^{y}}}\] \[\therefore \] \[8={{(2)}^{y}},\,\,y=3\] Hence rate equation, \[R=K{{[A]}^{0}}{{[B]}^{3}}=K{{[B]}^{3}}\]
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