CMC Medical CMC-Medical VELLORE Solved Paper-2008

  • question_answer
    To decrease the volume of a gas by 5% at constant temperature the pressure should be

    A)  decreased by 5.26%

    B)  increased by 5.2%

    C)  decreased by 11%

    D)  increased by 11%

    E)  increased by 15%

    Correct Answer: B

    Solution :

                    From Boyles law \[pV=RT\] \[\therefore \]  \[pV={{p}_{2}}\left( V-\frac{5}{100}V \right)\] \[\Rightarrow \]               \[pV={{p}_{2}}\left( \frac{95}{100}V \right)\] \[\Rightarrow \]               \[{{p}_{2}}=\frac{20}{19}V\] Increase in pressure \[=\left( \frac{20}{19}-1 \right)\times 100=\frac{1}{19}\times 100=5.26%\]


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