The rate constant of a first order reaction is doubled when the temperature is increased from 20° C to 25° C. How many times the rate constant will increase if the temperature is raised from 20° C to 40° C ?

Question

The rate constant of a first order reaction is doubled when the temperature is increased from 20° C to 25° C. How many times the rate constant will increase if the temperature is raised from 20° C to 40° C ? (A) 4 (B) 8 (C) 16 (D) 32

Tardigrade Admin · Accepted Answer

For every 5° rise in temperature, the rate constant becomes double. ∴ For 20° C (5 × 4 times ) rise in temperature, the rate constant, k=24=16.

Q. The rate constant of a first order reaction is doubled when the temperature is increased from $2 0^{\circ} C$ to $2 5^{\circ} C$ . How many times the rate constant will increase if the temperature is raised from $2 0^{\circ} C$ to $4 0^{\circ} C$ ?

4

8

16

32

64

For every $5^{\circ}$ rise in temperature, the rate constant becomes double.

$∴$ For $2 0^{\circ} C (5 \times 4$ times $)$ rise in temperature, the rate constant, $k = 2^{4} = 16$ .

Q. The rate constant of a first order reaction is doubled when the temperature is increased from 20∘C to 25∘C. How many times the rate constant will increase if the temperature is raised from 20∘C to 40∘C ?

4

8

16

32

64

For every 5∘ rise in temperature, the rate constant becomes double. ∴ For 20∘C(5×4 times ) rise in temperature, the rate constant, k=24=16.

Q. The rate constant of a first order reaction is doubled when the temperature is increased from $2 0^{\circ} C$ to $2 5^{\circ} C$ . How many times the rate constant will increase if the temperature is raised from $2 0^{\circ} C$ to $4 0^{\circ} C$ ?

For every $5^{\circ}$ rise in temperature, the rate constant becomes double.

$∴$ For $2 0^{\circ} C (5 \times 4$ times $)$ rise in temperature, the rate constant, $k = 2^{4} = 16$ .