Thermodynamics · JEE Preparation Chemistry

Calculate the enthalpy of formation of benzene (text{C}6text{H}6(text{l})) given that the heats of combustion of benzene, carbon, and hydrogen are -3…

Practice question from Thermodynamics (JEE Preparation Chemistry), with the correct answer and a step-by-step solution.

medium · MCQ · Q-1A5DCD

Calculate the enthalpy of formation of benzene (C6H6(l)\text{C}_6\text{H}_6(\text{l})) given that the heats of combustion of benzene, carbon, and hydrogen are −3267 kJ mol−1-3267\text{ kJ mol}^{-1}, −393.5 kJ mol−1-393.5\text{ kJ mol}^{-1}, and −285.8 kJ mol−1-285.8\text{ kJ mol}^{-1} respectively.

  1. A.+48.5 kJ mol−1^{-1}Correct answer
  2. B.-48.5 kJ mol−1^{-1}
  3. C.+522.6 kJ mol−1^{-1}
  4. D.-1122.4 kJ mol−1^{-1}

Solution

The combustion reactions are:\n1) C6H6+152O2→6CO2+3H2O,ΔH1=−3267\text{C}_6\text{H}_6 + \frac{15}{2}\text{O}_2 \rightarrow 6\text{CO}_2 + 3\text{H}_2\text{O}, \Delta H_1 = -3267\n2) C+O2→CO2,ΔH2=−393.5\text{C} + \text{O}_2 \rightarrow \text{CO}_2, \Delta H_2 = -393.5\n3) H2+12O2→H2O,ΔH3=−285.8\text{H}_2 + \frac{1}{2}\text{O}_2 \rightarrow \text{H}_2\text{O}, \Delta H_3 = -285.8\n\nFormation of benzene: 6C+3H2→C6H66\text{C} + 3\text{H}_2 \rightarrow \text{C}_6\text{H}_6\nΔHf=6ΔH2+3ΔH3−ΔH1=6(−393.5)+3(−285.8)−(−3267)=−2361−857.4+3267=+48.5 kJ mol−1\Delta H_f = 6\Delta H_2 + 3\Delta H_3 - \Delta H_1 = 6(-393.5) + 3(-285.8) - (-3267) = -2361 - 857.4 + 3267 = +48.5\text{ kJ mol}^{-1}.

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