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CMC Medical CMC-Medical Ludhiana Solved Paper-2014

  • question_answer
    Gases X, Y, Z, P and Q have the van der Waals constants a and b (in CGS units) as shown below.
    X Y Z P Q
    A 6 6 20 0.05 30
    B 0.025 0.15 0.1 0.02 0.2
    The gas with the higher critical temperature is

    A)  P                                           

    B)  Q

    C)  Y                                            

    D)  X

    Correct Answer: D

    Solution :

                    Critical temperature, \[{{T}_{c}}=\frac{8\,a}{27Rb}\] Greater is the value of \[\left( \frac{a}{b} \right),\]more is the critical temperature of gas. For, gas X             \[\frac{a}{b}=\frac{6}{0.025}=240\] gas Y,                     \[\frac{a}{b}=\frac{6}{0.150}=40\] gas Z,                     \[\frac{a}{b}=\frac{20}{0.1}=200\] gas P,                    \[\frac{a}{b}=\frac{0.05}{0.02}=2.5\] gas Q,                    \[\frac{a}{b}=\frac{30}{0.2}=150\] Therefore, gas X will have the highest critical temperature.


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