A hydrogenation reaction is carried out at 500 K. If the same reaction is carried out in the presence of catalyst at the same rate, the temperature required is 400 K. Calculate the activation energy of the reaction if catalyst lowers the activation energy barrier by 20 kJ mol^–1.

Solution

Suppose in the absence of catalyst and in the presence of catalyst the value of activation of energies are Ea₁ and Ea₂ at the temperature T₁ and T₂ respectively.
Thus,

In k = In A - \frac{{Ea}_{1}}{{RT}_{1}} (in the presence of catalyst) And In k = In A - \frac{{Ea}_{2}}{{RT}_{2}} (in the presence of catalyst) But \frac{{Ea}_{1}}{{RT}_{1}} = \frac{{Ea}_{2}}{{RT}_{2}} or \frac{{Ea}_{1}}{{RT}_{1}} = \frac{{Ea}_{1} - 20}{{RT}_{2}} [∵ {Ea}_{1} - {Ea}_{2} = 20 kJ]

Put, the values of T_{1} (= 500 k) and T_{2} (= 400 k) Thus, \frac{{Ea}_{1}}{500} = \frac{{Ea}_{1} - 20}{400} or {Ea}_{1} = 100 kJ {mol}^{- 1} .

For Daily Free Study Material Join wiredfaculty

Chemical Kinetics

A hydrogenation reaction is carried out at 500 K. If the same reaction is carried out in the presence of catalyst at the same rate, the temperature required is 400 K. Calculate the activation energy of the reaction if catalyst lowers the activation energy barrier by 20 kJ mol^–1.

Some More Questions From Chemical Kinetics Chapter

The conversion of molecules X to Y follows second order kinetics. If concentration of X is increased to three times how will it affect the rate of formation of Y?

What will be the effect of temperature on rate constant?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Phone Number

Email Address

Loaction

For Daily Free Study Material Join wiredfaculty

Chemical Kinetics

A hydrogenation reaction is carried out at 500 K. If the same reaction is carried out in the presence of catalyst at the same rate, the temperature required is 400 K. Calculate the activation energy of the reaction if catalyst lowers the activation energy barrier by 20 kJ mol–1.

Some More Questions From Chemical Kinetics Chapter

The conversion of molecules X to Y follows second order kinetics. If concentration of X is increased to three times how will it affect the rate of formation of Y?

What will be the effect of temperature on rate constant?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A hydrogenation reaction is carried out at 500 K. If the same reaction is carried out in the presence of catalyst at the same rate, the temperature required is 400 K. Calculate the activation energy of the reaction if catalyst lowers the activation energy barrier by 20 kJ mol^–1.