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DUMET Medical DUMET Medical Solved Paper-2007

  • question_answer
    For the reaction 1 g mole of \[CaC{{O}_{3}}\] is enclosed in 5 L container \[CaC{{O}_{3}}(s)\xrightarrow{{}}CaO(s)+C{{O}_{2}}(g)\] \[{{k}_{p}}=11.6\] at 1073 K then per cent dissociation of \[CaC{{O}_{3}}\] is

    A)  65%          

    B)  100%

    C)  6.5%          

    D)  zero

    Correct Answer: C

    Solution :

    \[CaC{{O}_{3}}(s)\xrightarrow{{}}CaO(s)+C{{O}_{2}}(g)\] \[{{K}_{p}}={{P}_{C{{O}_{2}}}}\]     (only gaseous molecule count) \[{{K}_{p}}={{K}_{c}}{{(RT)}^{\Delta n}}\] \[\Rightarrow \] \[1.16=\frac{x}{5}{{(0.821\times 1073)}^{1}}\] \[x=\frac{1.16\times 5}{0.0821\times 1073}=\frac{5.8}{88.1}=0.0658\] \[=0.0658\times 100=6.58%\]


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