VMMC VMMC Medical Solved Paper-2012

  • question_answer
    The following equilibrium establishes on heating 0.2 mole of H2 and 1.0 mole of sulphur in 1 L vessel at \[90{{\,}^{o}}C.\] \[{{H}_{2}}(g)+S(s)\rightleftharpoons {{H}_{2}}S(g);K=6.8\times {{10}^{-2}}\] The partial pressure of \[{{H}_{2}}S\]in equilibrium state is

    A)  4.20             

    B)  0.42

    C)  0.21             

    D)  0.042

    Correct Answer: B

    Solution :

     \[\underset{\begin{smallmatrix}  0.2\,mol \\  (0.2-x) \end{smallmatrix}}{\mathop{{{H}_{2}}(g)}}\,+\underset{\text{1}\,\text{mol}}{\mathop{S(s)}}\,\underset{\begin{smallmatrix}  0\,mol \\  x\,mol \end{smallmatrix}}{\mathop{{{H}_{2}}S(g)}}\,\,\underset{\begin{smallmatrix}  initially \\  at\,equilibrium \end{smallmatrix}}{\mathop{K=6.8\times {{10}^{-2}}}}\,\] \[K=\frac{[{{H}_{2}}S]}{[{{H}_{2}}]}=\frac{x}{0.2-x}=6.8\times {{10}^{-2}}\] \[\therefore \] \[x=1.273\times {{10}^{-2}}\] \[{{p}_{{{H}_{2}}s}}=\frac{n}{V}\times R\times T\] \[=\frac{1.273\times {{10}^{-2}}\times 0.082\times 363}{1}\] \[=0.38\approx 0.42\]


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