# The temperature coefficient for a certain reaction is #2#. If the temperature of the reaction was raised by #"40 K"#, what is the approximate factor to which the rate is multiplied?

##### 1 Answer

Apr 26, 2017

I have no idea what this is, so I googled it... The **temperature coefficient** on Wikipedia is defined as:

#Q_(10) = ((r_2(t))/(r_1(t)))^(10^@ "C""/"(T_2 - T_1)# where

#r_i(t)# is the initial rate of reaction for the reaction at temperature#T_i# . Each temperature is in#""^@ "C"# to ensure the units cancel out!

The temperature was increased by

#logQ_(10) = (10^@ "C")/(40^@ "C")log((r_2(t))/(r_1(t)))#

#=> log(2) = 1/4log((r_2(t))/(r_1(t)))#

#=> color(blue)((r_2(t))/(r_1(t))) = 10^(4log2)#

#=# #color(blue)(16)#

So, when the temperature coefficient is