BCECE Engineering BCECE Engineering Solved Paper-2015

  • question_answer
    What   is   the   enthalpy   of   the disproportionation of \[\text{MgCl}\] if the enthalpy of formation of hypothetical  \[\text{MgCl}\]   is \[-\text{125 kJ}/\text{mol}\] and the =\[MgC{{l}_{2}}\] is\[-\text{ 642 kJ}/\text{mol}\]?

    A) \[-\text{ 767 kJ}/\text{mol}\]

    B) \[~\text{767 kJ}/\text{mol}\]

    C) \[-\text{392 kJ}/\text{mol}\]

    D) \[\text{392 kJ}/\text{mol}\]

    Correct Answer: C

    Solution :

    \[Mg(s)+C{{l}_{2}}(g)\to MgC{{l}_{2}}(s),\] \[\Delta {{H}_{1}}=-642kJ/\text{mole}\]                 \[Mg(s)+\frac{1}{2}C{{l}_{2}}(g)\to MgCl(s),\]                                                 \[\Delta {{H}_{2}}=-125\text{kJ/mol}\] \[2MgCl\to MgC{{l}_{2}}+Mg,\]                 \[\Rightarrow \]               \[\Delta H=\Delta {{H}_{1}}-2\Delta {{H}_{2}}\]                 \[=-642-2\times (-125)=-392\text{kJ/mol}\]


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