Medium
For a gaseous reaction $2A + B \rightarrow C + D$,the rate of reaction is given by $Rate = K[A][B]$. If the volume of the container is reduced to $1/4$ of its original volume,what will be the ratio of the new rate to the original rate?
- A$16$
- B$4$
- C$1/16$
- D$1/8$
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During the kinetic study of the reaction $2A + B \rightarrow C + D$,the following results were obtained:
Experiment $[A] \ (M), [B] \ (M)$ and Initial rate of formation of $D$ $i. \ [A]=0.1, [B]=0.1$ $6.0 \times 10^{-3} \ M \ s^{-1}$ $ii. \ [A]=0.3, [B]=0.2$ $7.2 \times 10^{-2} \ M \ s^{-1}$ $iii. \ [A]=0.3, [B]=0.4$ $2.88 \times 10^{-1} \ M \ s^{-1}$ $iv. \ [A]=0.4, [B]=0.1$ $2.40 \times 10^{-2} \ M \ s^{-1}$
Based on the above data,the overall order of the reaction is:
| Experiment | $[A] \ (M), [B] \ (M)$ and Initial rate of formation of $D$ |
|---|---|
| $i. \ [A]=0.1, [B]=0.1$ | $6.0 \times 10^{-3} \ M \ s^{-1}$ |
| $ii. \ [A]=0.3, [B]=0.2$ | $7.2 \times 10^{-2} \ M \ s^{-1}$ |
| $iii. \ [A]=0.3, [B]=0.4$ | $2.88 \times 10^{-1} \ M \ s^{-1}$ |
| $iv. \ [A]=0.4, [B]=0.1$ | $2.40 \times 10^{-2} \ M \ s^{-1}$ |
Based on the above data,the overall order of the reaction is:
If the relation between half-life time $(t_{1/2})$ and initial concentration $[R]_0$ is given by $t_{1/2} \propto \frac{1}{[R]_0^{n-1}}$,what is the order of the reaction?
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