J & K CET Medical J & K - CET Medical 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 \[{{C}_{2}}{{H}_{4}}(g)+3{{O}_{2}}(g)\xrightarrow[{}]{{}}2C{{O}_{2}}(g)+2{{H}_{2}}O(l)\]       \[\Delta H=-\text{ }1415\text{ }kJ\] \[{{C}_{2}}{{H}_{6}}(g)+\frac{7}{2}{{O}_{2}}(g)\xrightarrow[{}]{{}}2C{{O}_{2}}(g)+3{{H}_{2}}O\]        \[\Delta H=-1566\text{ }kJ\] \[{{H}_{2}}(g)+\frac{1}{2}{{O}_{2}}(g)\xrightarrow[{}]{{}}{{H}_{2}}O(l);\]        \[\Delta H=-286\text{ }kJ\]

    A)  \[-437kJ\]          

    B)  135kJ

    C)  \[-135\text{ }kJ\]          

    D)  None of these

    Correct Answer: C

    Solution :

     According to available data (i)\[{{C}_{2}}{{H}_{4}}(g)+3{{O}_{2}}(g)\xrightarrow[{}]{{}}2C{{O}_{2}}(g)+2{{H}_{2}}O(l)\] (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) \[{{H}_{2}}(g)+\frac{7}{2}{{O}_{2}}(g)\xrightarrow[{}]{{}}{{H}_{2}}O(l);\]          \[\Delta H=-286\,kJ\] 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 \[=(-1415)+(-286)-(-1566)=-135\text{ }kJ\]


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