The rate of a chemical reaction doubles for every 10° C rise of temperature. If the temperature is raised by 50 °C, the rate of reaction increases by about

# The rate of a chemical reaction doubles for every  rise of temperature. If the temperature is raised by , the rate of reaction increases by about

1. A

64 times

2. B

10 times

3. C

24 times

4. D

32 times

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+91

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### Solution:

We will have

$\underset{\left({t}_{1}\right)}{{r}_{1}}⟶\underset{\left({t}_{1}+{10}^{\circ }\mathrm{C}\right)}{2{r}_{1}}⟶\underset{\left({t}_{1}+{20}^{\circ }\mathrm{C}\right)}{4{r}_{1}}⟶\underset{\left({t}_{1}+{30}^{\circ }\mathrm{C}\right)}{8{r}_{1}}⟶\underset{\left({t}_{1}+{40}^{\circ }\mathrm{C}\right)}{16{r}_{1}}⟶\underset{\left({t}_{1}+{50}^{\circ }\mathrm{C}\right)}{32{r}_{1}}$

In short, $r={2}^{5}{r}_{1}=32{r}_{1}$  +91

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