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CMC Medical CMC-Medical VELLORE Solved Paper-2013

  • question_answer
    The thermodynamic coordinates of a jar A filled with a gas are p, V and T and another j ar B filled with another gas 2p, V/4 and 2T, where the symbols have their usual meanings. The ratio of the number of molecules of jar A to those of jar B is

    A)  4 : 1                      

    B)  2 : 2  

    C)  1 : 2                      

    D)  1 : 1

    Correct Answer: A

    Solution :

                    \[pV=n\,RT\] \[{{p}_{1}}{{V}_{1}}={{n}_{1}}R{{T}_{1}}\] \[{{p}_{2}}{{V}_{2}}={{n}_{2}}R{{T}_{2}}\] \[\frac{{{n}_{1}}}{{{n}_{2}}}=\frac{{{p}_{2}}{{V}_{2}}{{T}_{1}}}{{{p}_{1}}{{V}_{1}}{{T}_{2}}}\]                 \[{{p}_{1}}=p\]                 \[{{V}_{1}}=V\]                 \[{{p}_{2}}=2p\]                 \[{{V}_{2}}=V\text{/}4\] \[{{T}_{2}}=2T\] \[\frac{{{n}_{2}}}{{{n}_{1}}}=\frac{2pVT}{pV\times 4\times 2T}\]      \[=1/4\] \[\frac{{{n}_{1}}}{{{n}_{2}}}=\frac{4}{1}\]


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