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

  • question_answer At what temperature, the sample of neon gas would be heated to double of its pressure, if the initial volume of gas is/are reduced to 15% at \[{{75}^{o}}C\]            [Kerala CET 2005]

    A)                 \[{{319}^{o}}C\]               

    B)                 \[{{592}^{o}}C\]

    C)                 \[{{128}^{o}}C\]               

    D)                 \[{{60}^{o}}C\]

    E)                 \[{{90}^{o}}C\]

    Correct Answer: A

    Solution :

               \[{{P}_{1}}=P,\,{{V}_{1}}=V,\,{{T}_{1}}=273+75=348K\]                    \[{{P}_{2}}=2P,\,{{V}_{2}}=\frac{85}{100},\,{{T}_{2}}=?\]                    \[\frac{P\times V}{398}=\frac{2P\times 85V}{{{T}_{2}}\times 100}\]Þ \[{{T}_{2}}=\frac{348\times 2\times 85}{100}\]                                 \[\therefore \] \[{{T}_{2}}=591.6K={{318.6}^{o}}C\]

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