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

  • question_answer A sample of gas occupies 100 ml at \[{{27}^{o}}C\] and 740 mm pressure. When its volume is changed to 80 ml at 740 mm pressure, the temperature of the gas will be [Vellore CMC 1991]

    A)                 \[{{21.6}^{o}}C\]             

    B)                 \[{{240}^{o}}C\]

    C)                 \[-{{33}^{o}}C\]               

    D)                 \[{{89.5}^{o}}C\]

    Correct Answer: C

    Solution :

               \[\frac{{{P}_{1}}{{V}_{1}}}{{{T}_{1}}}=\frac{{{P}_{2}}{{V}_{2}}}{{{T}_{2}}}\therefore {{T}_{2}}=\frac{{{P}_{2}}{{V}_{2}}}{{{P}_{1}}{{V}_{1}}}\times {{T}_{1}}=\frac{740}{740}\times \frac{80}{100}\times 300\]                                 \[={{240}^{o}}K\]\[=-{{33}^{o}}C\]


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