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

  • question_answer
    If enthalpies of formation of \[{{C}_{2}}{{H}_{4}}(g),\,C{{O}_{2}}(g)\] and \[{{H}_{2}}O(l)\] at \[{{25}^{o}}C\] and \[1\,atm\] pressure be 52, ? 394 and \[-286\,kJ\,mo{{l}^{-1}}\] respectively, the enthalpy of combustion of \[{{C}_{2}}{{H}_{4}}(g)\] will be [CBSE PMT 1995; AIIMS 1998; Pb. PMT 1999]

    A)                 \[+1412\,kJ\,mo{{l}^{-1}}\]         

    B)                 \[-1412\,kJ\,mo{{l}^{-1}}\]

    C)                 \[+141.2\,kJ\,mo{{l}^{-1}}\]       

    D)                 \[-141.2\,kJ\,mo{{l}^{-1}}\]

    Correct Answer: B

    Solution :

           \[{{C}_{2}}{{H}_{4}}+3{{O}_{2}}\to 2C{{O}_{2}}+2{{H}_{2}}O\] \[\Delta {{H}_{\text{reaction}}}=[2\times \Delta H_{f}^{o}(C{{O}_{2}})+2\times \Delta H_{f}^{o}\,({{H}_{2}}O)]\]                                                     \[-[\Delta H_{f}^{o}\,({{C}_{2}}{{H}_{4}})+\,3\,\,\times \Delta H_{f}^{o}\,({{O}_{2}})]\]                                 \[=[\,2\,(\,-394)+2\,(\,-286)]-[52+0]=-1412\,kJ\].


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