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Q.

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

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a

64 times

b

24 times

c

32 times

d

10 times

answer is D.

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Detailed Solution

We will have

$\underset{(t_{1})}{r_{1}} ⟶ \underset{(t_{1} + 10^{\circ} C)}{2 r_{1}} ⟶ \underset{(t_{1} + 20^{\circ} C)}{4 r_{1}} ⟶ \underset{(t_{1} + 30^{\circ} C)}{8 r_{1}} ⟶ \underset{(t_{1} + 40^{\circ} C)}{16 r_{1}} ⟶ \underset{(t_{1} + 50^{\circ} C)}{32 r_{1}}$

In short, $r = 2^{5} r_{1} = 32 r_{1}$ .

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