JEE Main & Advanced Chemistry Thermodynamics / रासायनिक उष्मागतिकी Question Bank Heat of reaction

  • question_answer
    How much energy is released when 6 mole of octane is burnt in air ? Given \[\Delta H_{f}^{o}\] for \[C{{O}_{2}}(g),\,{{H}_{2}}O(g)\] and \[{{C}_{8}}{{H}_{18}}(l)\] respectively are ? 490,? 240 and + 160 kJ/mol [AIIMS 2004]

    A)                 ? 6.2 kJ

    B)                 ? 37.4 kJ

    C)                 ? 35.5 kJ              

    D)                 ? 20.0 kJ

    Correct Answer: B

    Solution :

               \[C+{{O}_{2}}\to C{{O}_{2}}\,;\,\,\,\Delta {{H}_{F}}=-490\,KJ/mol\]         ?   (I)                    \[{{H}_{2}}+1/2{{O}_{2}}\to {{H}_{2}}O;\,\,\Delta {{H}_{F}}=-240\,KJ/mol\]  ?  (II)                    \[8C+18H\to {{C}_{8}}{{H}_{18}};\,\,\Delta {{H}_{F}}=+160KJ/mol\]   ? (III)                    applying                    (I)\[\times \,8+\] (II) \[\times 9+\](III)                    \[{{C}_{8}}{{H}_{18}}+\frac{25}{2}{{O}_{2}}\to 8C{{O}_{2}}+9{{H}_{2}}O\]                    \[\Delta {{H}^{o}}=-3920-2160-160=6240\,KJ/mol\]                    \[\Delta {{H}^{o}}=\] for 6 moles of octane \[=6240\times 6\]                                 \[=37440\,KJ/mol=-37.4\,KJ\]


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