JEE Main & Advanced Chemistry States of Matter Question Bank Ideal gas equation and Related gas laws

  • question_answer At \[{{0}^{o}}C\] and one atm pressure, a gas occupies 100 cc. If the pressure is increased to one and a half-time and temperature is increased by one-third of absolute temperature, then final volume of the gas will be [DCE 2000]

    A)                 80 cc     

    B)                 88.9 cc

    C)                 66.7 cc  

    D)                 100 cc

    Correct Answer: B

    Solution :

               \[{{V}_{2}}=\frac{{{P}_{ & 1}}{{V}_{1}}{{T}_{2}}}{{{P}_{2}}{{T}_{1}}}\]Þ      \[{{P}_{1}}=P\]  ; \[{{T}_{1}}={{273}^{o}}K\]                    \[{{P}_{2}}=\frac{3}{2}P\]; \[{{T}_{2}}={{T}_{1}}+\frac{{{T}_{1}}}{3}=\frac{4}{3}\times {{273}^{o}}K\]                    \[{{V}_{2}}=\frac{2P}{3P}\times \frac{4}{3}\times \frac{273}{273}\times 100cc=\frac{800}{9}cc=88.888cc\]                                 = 88.9 cc

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