What is the value of the rate constant for this reaction at this temperature?

The frequency factor is #7.50 xx 10^12 "M"^(-1)cdot"s"^(-1)#, the activation energy is #"62.0 kJ/mol"#, and the temperature is #24.0^@ "C"#.

1 Answer
Oct 5, 2017

#k = "94.8 M"^(-1)"s"^(-1)#


The relation between the rate constant and temperature is something you should be getting to know really well at this point:

#k = Ae^(-E_a//RT)#

(what is the equation called?)

  • #k# is the rate constant.
  • #A# is the frequency factor, which has the same units as the rate constant.
  • #E_a# is the activation energy, usually in #"kJ/mol"#.
  • #R = "0.008314472 kJ/mol"cdot"K"# is the universal gas constant that ensures the units cancel in the exponential.
  • #T# is the temperature in #"K"#.

And so this is mostly plugging it in and using a calculator.

#color(blue)(k) = 7.50 xx 10^12 "M"^(-1)"s"^(-1) cdot e^(-"62.0 kJ/mol"/("0.008314472 kJ/mol"cdot"K" cdot (24.0 + "273.15 K"))#

#= (7.50 xx 10^12) e^(-25.095) "M"^(-1)"s"^(-1)#

#=# #ulcolor(blue)("94.8 M"^(-1)"s"^(-1))#

What is the order of this reaction?