NEET Sample Paper NEET Sample Test Paper-53

  • question_answer
    By what percentage should the pressure of a given mass of a gas be increased so as to decreases its volume by 10% at a constant temperature?

    A) \[8.1\,%\]                      

    B) \[9.1\,%\]

    C) \[10.1\,%\]                    

    D) \[11.1\,%\]

    Correct Answer: D

    Solution :

    Given \[\left( \frac{{{V}_{2}}}{{{V}_{1}}}-1 \right)\,\times \,100=-10\] \[\therefore \,\,\frac{{{V}_{2}}}{{{V}_{1}}}=\frac{9}{10}\,\,\,\because \,\,\,\,P\propto \frac{1}{V}\] \[\therefore \,\,\left( \frac{{{P}_{2}}}{{{P}_{1}}}-1 \right)\times 100\,\,=\,\,\left( \frac{{{V}_{1}}}{{{V}_{2}}}-1 \right)\,\,\times \,\,100\] \[\therefore \text{ }%\text{ }change\text{ }in\text{ }pressure\text{ }=\left( \frac{10}{9}-1 \right)\times 100\] \[=\,\,11.1\,%\]


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