The decomposition of compound X(g) to produce Y(g) and Z(g) is monitored at 298 K

CHEMISTRY · Multi-part · A Level · Chemistry · Energetics · Energetics

Problem

The decomposition of compound X(g) to produce Y(g) and Z(g) is monitored at 298 K. A verbal description of an energy diagram for the uncatalyzed reaction is provided below. • Energy of X(g) (reactant): 12 kJ mol⁻¹ • Energy of the transition state: 94 kJ mol⁻¹ • Energy of Y(g) + Z(g) (products): –8 kJ mol⁻¹ Answer the following questions. (Use 1 kcal=4.184 kJ1\,\text{kcal}=4.184\,\text{kJ}.) (a) Calculate the enthalpy change, ΔHrxn\Delta H_{\text{rxn}}, for the forward reaction. Include the correct sign and units. (b) Determine the forward activation energy, Ea, fwdE_{\mathrm a,\,fwd}. (c) Compute the activation energy for the reverse reaction, Ea, revE_{\mathrm a,\,rev}, and express your answer in both kJ mol⁻¹ and kcal mol⁻¹. Show all unit-conversion steps.

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