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Which of the following parameters would be different for a reaction carried out in the presence of a catalyst compared with the same reaction carried out in the absence of a catalyst?

G掳, 螖H, 螖Ea, 螖S, 螖H掳,Keq, 螖G, 螖S掳,k

Short Answer

Expert verified

Terms

Presence of catalyst

G

decreases

H,

decreases

Ea

decreases

S,

increases

H掳,

decreases

Keq,

increases

G,

decreases

S掳,

increases

k

increases



Step by step solution

01

Definition of Catalyst

A catalyst is a substance which can increase the rate of a reaction without being affected in the whole reaction process.

02

Explanations of the terms

G掳= Free energy of activation or Gibes free energy

Ea = Activation energy.

螖厂 = Entropy of activation

螖贬鈥 = enthalpy of the transition state - enthalpy of the reactants

S鈥 = entropy of the transition state - entropy of the reactants

G鈥 = free energy of the transition state - free energy of the reactants

k = rate constant.

Keq = Equilibrium constant of a reaction.

螖贬 = Enthalpy of activation

03

Comparison of reaction rate with and without catalyst

From the arrhenius equation, we can write,

Where k= rate constant.

A = Arrhenius constant.

Ea =activation energy.

R= Gas constant.

T= temperature.

If we introduce an catalyst, the reaction rate constant(k) will increase by decreasing the activation energy. So, in presence of catalyst, Ea decreases and k increases.

There are two others relations to compare the presence of catalyst and that are,

螖骋 = 螖贬 -T螖 S 补苍诲鈥︹赌︹赌︹赌︹赌1

螖贰a = 螖贬 + RT. 鈥︹︹︹︹︹..2

Where every terms has their own meanings.

Now, when, catalyst is applied, Eadeceases and as per equation 2, 螖Halso decreases as RT is a constant value.

Now, Keq鈭, Where k and k-1 are rate constant in forward and backward direction respectively. If rate of a reaction increases which means formation of products (Forward reaction, Keqalso increases, and from , becomes more negative or more spontaneous.

With decreasing , 螖Sincreases to make the overall reaction negative.

The order of increase and decrease for 螖贬G掳 and 螖厂 becomes just same as for the transition state values of enthalpy, gibes free energy and entropy.

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