How many times will the reaction rate increase, the temperature coefficient

How many times will the reaction rate increase, the temperature coefficient of which is equal to 2, when the temperature rises from 200C to 50C ..

1. Let’s use van’t Hoff’s rule:

v2 = v1 * γ ^ ((T2 – T1): 10);

v2 = v1 * γ ^ (ΔT: 10);

2.Calculate the difference in temperature change:

ΔT = 50 – 20 = 30 ° C;

3.For convenience, let us assume that the initial rate is 1, calculate what value the reaction rate will take after increasing the temperature:

v2 = 1 * 2 ^ (30: 10) = 2 ^ 3 = 8:

4. Establish the ratio of the acquired speed to the initial one:

v2: v1 = 8: 1 = 8, which means the reaction speed will increase by 8 times.