The energy of activation for a reaction is 100 kJ mol^–1. The presence of a catalyst lowers the enregy of activation by 75%. What will be the effect on rate of reaction at 20% C, other things being equal.

Solution

According to the Arrhenius equation

K = Ae^–Ea/RIn absence of catalyst k₁ = Ae^–100/RTIn presence of catalyst k₂ = Ae^{–25/RT

$∴$ $\frac{k_{1}}{k_{2}} = \frac{e^{- 100 / RT}}{e^{- 25 / RT}} = e^{- 75 / RT}$}
or    $2.303 \log_{10} (\frac{k_{1}}{k_{2}}) = (75 / RT)$

or    $2.303 \log_{10} \frac{k_{1}}{k_{2}} = \frac{75}{8.314 \times 10^{- 3}} \times 298$

$∴$    $\frac{k_{1}}{k_{2}} = 2.35 \times 10^{13}$

Since Rate k[ ]ⁿ at any temperature for a reaction n and concentration of reactants are same and temperature changes.

$(\frac{r_{2}}{r_{1}}) = (\frac{k_{2}}{k_{1}}) = 2.35 \times 10^{13}$

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?

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Chemical Kinetics

The energy of activation for a reaction is 100 kJ mol^–1. The presence of a catalyst lowers the enregy of activation by 75%. What will be the effect on rate of reaction at 20% C, other things being equal.

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?

A reaction is 50% complete in 2 hours and 75% complete in 4 hours. What is the order of the reaction.

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Chemical Kinetics

The energy of activation for a reaction is 100 kJ mol–1. The presence of a catalyst lowers the enregy of activation by 75%. What will be the effect on rate of reaction at 20% C, other things being equal.

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?

A reaction is 50% complete in 2 hours and 75% complete in 4 hours. What is the order of the reaction.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

The energy of activation for a reaction is 100 kJ mol^–1. The presence of a catalyst lowers the enregy of activation by 75%. What will be the effect on rate of reaction at 20% C, other things being equal.