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

  • question_answer A certain mass of gas occupies a volume of 300 c.c. at 27C and 620 mm pressure. The volume of this gas at \[{{47}^{o}}C\] and 640 mm pressure will be      [MH CET 2003]

    A)                 400 c.c.

    B)                 510 c.c.

    C)                 310 c.c.

    D)                 350 c.c.

    Correct Answer: C

    Solution :

               Given initial volume \[\left( {{V}_{1}} \right)=300cc\], initial temperature \[\left( {{T}_{1}} \right)={{27}^{o}}C=300K\], initial pressure \[\left( {{P}_{1}} \right)=620mm\], final temperature \[{{T}_{2}}={{47}^{o}}C=320K\]and final pressure \[\left( {{P}_{2}} \right)=640mm\].We know from the general gas equation                                 \[\frac{{{P}_{1}}{{V}_{1}}}{{{T}_{1}}}=\frac{{{P}_{2}}{{V}_{2}}}{{{T}_{2}}}\]\[=\frac{620\times 300}{300}=\frac{640\times {{V}_{2}}}{320}\] Þ\[{{V}_{2}}=310cc\]

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