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AIIMS AIIMS Solved Paper-2014

  • question_answer
    An LPG cylinder, containing 15 kg butane at \[27{}^\circ C\]and 10 atm pressure, is leaking. After one day, its pressure decreased to 8 atm. The quantity of gas leaked is

    A) 1 kg                                       

    B) 2 kg        

    C) 3 kg                                       

    D)  4 kg

    Correct Answer: C

    Solution :

                    According to question-T, V are constant, hence from ideal gas equation, we have. \[\frac{{{p}_{1}}}{{{p}_{2}}}=\frac{{{n}_{1}}}{{{n}_{2}}}=\frac{{{w}_{1}}}{{{w}_{2}}}\] \[\frac{10}{8}=\frac{15}{{{w}_{2}}}\] or          \[{{\text{W}}_{\text{2}}}=\text{12kg}\] Hence, gas leaked = 15 -12 = 3 kg


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