NEET Sample Paper NEET Sample Test Paper-1

  • question_answer 43) If one mole of monoatomic gas \[\gamma =\frac{5}{3}\] is mixed with one mole of diatomic gas \[\gamma =\frac{7}{5}\]. The value of \[\gamma \] for the mixtures is:                                  

    A)  \[2.5\]                         

    B)  \[1.5\]

    C)  \[1.8\]                         

    D)  none of these       

    Correct Answer: B

    Solution :

    To find the value of \[\gamma ,\] for mixture we take average value of \[\gamma =\left( \frac{{{C}_{p}}}{{{C}_{\upsilon }}} \right){{\alpha }_{\upsilon }}\] \[{{C}_{\upsilon }}\] for monoatomic gas \[=\frac{3}{2}R\]            ?..(i) \[{{C}_{\upsilon }}\] for diatomic gas \[=\frac{5}{2}R\] So,     average \[{{C}_{\upsilon }}=\frac{\frac{3}{2}R+\frac{5}{2}R}{2}=2R\] Thus \[{{C}_{p}}\] for mixture or average \[{{C}_{p}}\]                 \[={{C}_{\upsilon }}+R=2R+R\]                 \[=3R\]                                             ?..(ii) Therefore the value of y for the mixture is given by \[\gamma =\left( \frac{{{C}_{p}}}{{{C}_{\upsilon }}} \right){{a}_{\upsilon }}=\frac{3R}{2R}\] (from (0 and (ii))

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