The speed of the chemical reaction doubles every 10°C rise of temperature. If the temperature is raised by 40°C, the speed of the reaction increases by the factor of______

Answer

16

Explanation

Suppose Rl = initial rate and Tl = initial temperature.
When temperature is increased from T1 to T1 + 10°C the rate doubles, rate = 2R1
When temperature is increased from T1 + 10°Cto T1 + 20°Cthe rate doubles, rate = 2(2R1) = 4R1
When temperature is increased from T1 + 20°C to T1+ 30°C the rate doubles,
rate = 2(4 R1) = SR1
When temperature is increased from T1 + 30°C to T1+ 40°C the rate doubles,
rate= 2(8 121) = 16 R1
When the temperature is raised by 40°C the speed of the reaction increases to about 16 times.