The reaction rate A + B = C increases by 3 times when the temperature rises by 10 degrees.

The reaction rate A + B = C increases by 3 times when the temperature rises by 10 degrees. How many times will the rate of this reaction increase when the temperature rises by 50 ° C?

To solve this problem, we use the Van’t Hoff equation

v1 / v2 = y ^ ((T2-T1) / 10), y is the temperature coefficient

Let’s substitute the data:

3 = y ^ (10/10)
y = 3

Now we find out how many times the reaction rate (v3) will increase if the temperature rises by 50 * С

v3 / v1 = 3 ^ (50/10)
v3 / v1 = 3 ^ 5 = 243 (times)