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NEET CHEMISTRYHard

For a reaction ABA \rightarrow B, enthalpy of reaction is 4.2 kJ mol1-4.2 \text{ kJ mol}^{-1} and enthalpy of activation is 9.6 kJ mol19.6 \text{ kJ mol}^{-1}. The correct potential energy profile for the reaction is shown in option.

A

(1)

B

(2)

C

(3)

D

(4)

Step-by-Step Solution

ΔHrxn=(Ea)f(Ea)b\Delta H_{rxn} = (E_a)_f - (E_a)_b. Given ΔHrxn=4.2 kJ mol1\Delta H_{rxn} = -4.2 \text{ kJ mol}^{-1} and (Ea)f=9.6 kJ mol1(E_a)_f = 9.6 \text{ kJ mol}^{-1}. So, 4.2=9.6(Ea)b-4.2 = 9.6 - (E_a)_b, which gives (Ea)b=9.6+4.2=13.8 kJ mol1(E_a)_b = 9.6 + 4.2 = 13.8 \text{ kJ mol}^{-1}. Since the reaction is exothermic (ΔH<0\Delta H < 0), the energy of product BB must be lower than reactant AA. Also, since (Ea)f<(Ea)b(E_a)_f < (E_a)_b, the forward activation barrier is smaller than the backward activation barrier. This matches graph (2).

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