In general, reaction rates double when the temperature is increased by 10ºC. The temperature of a reaction is increased by 40ºC. The rate of the reaction will increase by a factor of ____? is it 16?

r = k*2^n.

k = initial reaction rate.
r = reaction rate after temperature
change.

40deg. / 10deg. = 4.
r = k*2^4 = 16k = 16 times initial temp.

To determine the factor by which the rate of the reaction will increase when the temperature is increased by 40°C, we need to consider the provided information that the reaction rates double when the temperature increases by 10°C.

Let's break it down step by step:

1. Calculate the number of 10°C intervals in the 40°C increase:
40°C ÷ 10°C = 4 intervals

2. Determine the factor by which the rate will increase for each 10°C interval:
Since the reaction rates double with each 10°C increase, the factor is 2.

3. Calculate the overall factor by multiplying the factors for each interval (in this case, 4 intervals):
2 × 2 × 2 × 2 = 16

Therefore, the rate of the reaction will increase by a factor of 16 when the temperature is increased by 40°C. So, the answer is yes, it is indeed 16.