KVPY Sample Paper KVPY Stream-SX Model Paper-15

  • question_answer
    The enthalpy changes for the following processes are listed below :
    \[C{{l}_{2}}(g)\xrightarrow{{}}2Cl(g),242.3kJ\,mo{{l}^{-\,1}}\]
    \[{{I}_{2}}(g)\xrightarrow{{}}2I(g),151.0\,kJ\,mo{{l}^{-\,1}}\]
    \[ICl\,(g)\xrightarrow{{}}I\,(g)+Cl(g),211.3\,kJ\,mo{{l}^{-\,1}}\]
    \[{{I}_{2}}(s)\xrightarrow{{}}{{I}_{2}}(g)62.76\,kJ\,mo{{l}^{-\,1}}\]
    Given that the standard states for iodine and chlorine are \[{{I}_{2}}(s)\] and \[C{{l}_{2}}\,(g),\] the standard enthalpy for the formation of  \[ICl\left( g \right)\] is

    A) \[-14.6\,kJ\,mo{{l}^{-\,1}}\]

    B) \[-16.8\,kJ\,mo{{l}^{-\,1}}\]

    C) \[+16.8\,kJ\,mo{{l}^{-\,1}}\]

    D) \[+244.8\,kJ\,mo{{l}^{-\,1}}\]

    Correct Answer: C

    Solution :

    \[\frac{1}{2}{{I}_{2}}(s)+\frac{1}{2}C{{l}_{2}}(g)\xrightarrow{{}}ICl(g)\]
    \[\Delta H=\left[ \frac{1}{2}\Delta {{H}_{s\to g}}+\frac{1}{2}\Delta {{H}_{\text{diss}}}(C{{l}_{2}}) \right.\]\[\left. +\frac{1}{2}\Delta {{H}_{diss}}({{I}_{2}})\, \right]-\Delta {{H}_{ICl}}\]
    \[\left( \frac{1}{2}\times 62.76+\frac{1}{2}\times 242.3+\frac{1}{2}\times 151.0 \right)-211.3\]
    \[=228.03-211.3\]
    \[\Delta H=16.73\approx 16.8kJ\,mo{{l}^{-\,1}}.\]


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