JCECE Engineering JCECE Engineering Solved Paper-2007

  • question_answer
    The volume of a gas measured at \[{{27}^{o}}C\] and \[1\,\,atm\] pressure is\[10\,\,L\]. To reduce the volume to \[2\,\,L\] at\[1\,\,atm\]. pressure, the temperature required is

    A) \[60\,\,K\]                          

    B) \[75\,\,K\]

    C)  \[150\,\,K\]                      

    D)  \[225\,\,K\]

    Correct Answer: A

    Solution :

    Here\[{{V}_{1}}=10\,\,L;\,\,{{V}_{2}}=2\,\,L\]          \[{{P}_{1}}=1\,\,atm,\,\,{{P}_{2}}=1\,\,atm\]          \[{{T}_{1}}=300\,\,K,\,\,{{T}_{2}}=?\]                 \[\frac{{{P}_{1}}{{V}_{1}}}{{{T}_{1}}}=\frac{{{P}_{2}}{{V}_{2}}}{{{T}_{2}}}\]             \[\frac{1\times 10}{300}=\frac{1\times 2}{{{T}_{2}}}\]                   \[{{T}_{2}}=\frac{300\times 2}{10}=60\,\,K\]


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