RAJASTHAN ­ PET Rajasthan PET Solved Paper-2009

  • question_answer
    1 mole of gas occupies a volume of 200 ml at 100 mm pressure. What is the volume occupied by two moles of gas at 400 mm pressure and at same temperature?

    A)  50 mL           

    B)  100 mL

    C)  200 mL          

    D)  400 mL

    Correct Answer: B

    Solution :

     Given,\[{{p}_{1}}=100\text{ }mm,\text{ }{{V}_{1}}=200\text{ }mL\text{ }and\text{ }{{p}_{2}}=400\]mm From Boyle' Law \[{{p}_{1}}{{V}_{1}}={{p}_{2}}{{V}_{2}}\] \[{{V}_{2}}=\frac{{{p}_{1}}{{V}_{1}}}{{{p}_{2}}}\] \[=\frac{100\times 200}{400}\] \[{{V}_{2}}=50\,mL\] Volume of 2 mole gas \[=2\times 50\] \[=100mL\]


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