CMC Medical CMC-Medical VELLORE Solved Paper-2012

  • question_answer
    If pressure of \[C{{O}_{2}}\](real gas) in a container is given by \[p=\frac{RT}{2V-b}-\frac{a}{4{{b}^{2}}}\] Then, mass of the gas in the container is

    A)  44 g                                      

    B)  33 g

    C)  22 g                                      

    D)  5g

    Correct Answer: C

    Solution :

                    For \[\mu \] moles of a real gas. Van der Waals equation is given \[p+\frac{{{\mu }^{2}}a}{{{V}^{2}}}(V-\mu b)+\mu RT\]                 \[\Rightarrow \]               \[p=\frac{\mu RT}{V-\mu b}-\frac{{{\mu }^{2}}a}{{{V}^{2}}}\] On comparing this equation with given equation. \[\mu =\frac{1}{2}\] But         \[\mu =\frac{m}{M}\] Mass of gas, \[m=\mu M=\frac{1}{2}\times 44=22\,g\]


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