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Consider the following information for the reaction A + B → C - VCE - SSCE Chemistry - Question 18 - 2006 - Paper 1

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Consider the following information for the reaction A + B → C. heat of reaction –120 kJ mol⁻¹ activation energy +200 kJ mol⁻¹ The activation energy, in kJ mol⁻¹,... show full transcript

Worked Solution & Example Answer:Consider the following information for the reaction A + B → C - VCE - SSCE Chemistry - Question 18 - 2006 - Paper 1

Step 1

Calculate the activation energy for the reverse reaction C → A + B

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Answer

For the reverse reaction, the relationship between the activation energy and the heat of reaction can be expressed as:

Ea(reverse)=Ea(forward)ΔHE_a (reverse) = E_a (forward) - \Delta H

Substituting the given values:

  • Activation energy for the forward reaction (A + B → C): +200 kJ mol⁻¹
  • Heat of reaction (ΔH\Delta H): -120 kJ mol⁻¹

Thus, we have:

Ea(reverse)=200(120)E_a (reverse) = 200 - (-120)

This simplifies to:

Ea(reverse)=200+120=320kJmol1E_a (reverse) = 200 + 120 = 320 kJ mol⁻¹

Since the activation energy must be positive for the reverse reaction, we consider:

  1. The heat of reaction is negative, indicating that the reaction releases energy (exothermic).
  2. Therefore, the activation energy for the reverse reaction will be:

Ea(reverse)=320kJmol1E_a (reverse) = 320 kJ mol⁻¹

Choosing the correct sign, the final activation energy for the reaction C → A + B is:

-320 kJ mol⁻¹, corresponding to option B.

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