J & K CET Engineering J and K - CET Engineering Solved Paper-2013

  • question_answer
    Calculate the enthalpy change for the reaction, \[{{C}_{2}}{{H}_{4}}(g)+{{H}_{2}}(g)\xrightarrow{{}}{{C}_{2}}{{H}_{6}}(g)\] using the data given below \[{{C}_{2}}{{H}_{4}}(g)+3{{O}_{2}}(g)\xrightarrow{{}}2C{{O}_{2}}(g)+2{{H}_{2}}O(l)\] \[\Delta H=-1415\,kJ\] \[{{C}_{2}}{{H}_{6}}(g)+\frac{7}{2}{{O}_{2}}(g)\xrightarrow{{}}2C{{O}_{2}}(g)+3{{H}_{2}}O\] \[\Delta H=-1566\,kJ\] \[{{H}_{2}}(g)+\frac{1}{2}{{O}_{2}}(g)\xrightarrow{{}}{{H}_{2}}O(l);\Delta H=-286\,kJ\]

    A) \[-437\,kJ\]

    B)  \[135\,kJ\]

    C)  \[-135\,kJ\]

    D)  None of these

    Correct Answer: C

    Solution :

     According to available data (i) \[{{C}_{2}}{{H}_{4}}(g)+3{{O}_{2}}(g)\xrightarrow{{}}2C{{O}_{2}}(g)+2{{H}_{2}}O(l)\] \[\Delta H=-1415\,kJ\] (ii)\[{{C}_{2}}{{H}_{6}}(g)+\frac{7}{2}{{O}_{2}}(g)\xrightarrow{{}}2C{{O}_{2}}(g)+3{{H}_{2}}O(l)\] \[\Delta H=-1566\,kJ\] (iii) \[{{H}_{2}}(g)+\frac{1}{2}{{O}_{2}}(g)\xrightarrow{{}}{{H}_{2}}O(l);\Delta H=-286\,kJ\] We aim at \[{{C}_{2}}{{H}_{4}}(g)+{{H}_{2}}(g)\xrightarrow{{}}{{C}_{2}}{{H}_{6}}(g);\Delta H?\] Eq. (i) + Eq. (iii) - Eq. (ii) and the correct \[\Delta H\]value is \[=(-1415)+(-286)-(-1566)\] \[=-135\,kJ\]


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