RAJASTHAN PMT Rajasthan - PMT Solved Paper-2003

  • question_answer
    If \[0.75\text{ }mole\]of an ideal gas expands isothermally at \[{{27}^{o}}C\]from 15 lit. to\[25\text{ }lit\]. then the maximum work done is

    A)  \[9.14\text{ }J\]                              

    B)  \[9.23J\]

    C)  \[9.43J\]             

    D)         \[9.75J\]

    Correct Answer: C

    Solution :

    \[\because \]   \[\Delta G=2.303nRT+\log \frac{{{V}_{2}}}{{{V}_{1}}}\] Here \[\Delta G=\]maximum work obtained =? \[n=0.75\text{ }mole,\]\[T={{27}^{o}}C=27+273=300\text{ }K\] \[{{V}_{1}}=15\text{ }lit,\]   \[{{V}_{2}}=25\text{ }lit,\]\[R=0.082\] \[\therefore \]  \[\Delta G=2.303\times 0.75\times 0.082\times 300\log \frac{25}{15}\]                 \[=9.43J\]


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