JEE Mains · Chemistry · STD 11 - 5. Thermodynamics and thermochemistry
\( 20.0~dm^{3} \) of an ideal gas 'X' at 600 K and 0.5 MPa undergoes isothermal reversible expansion until pressure of the gas is 0.2 MPa. Which of the following option is correct?
(Given: \( \log~2=0.3010 \) and \( \log~5=0.6989 \))
- A \( w=-9.1~kJ, \Delta U=0, \Delta H=0, q=9.1~kJ \)
- B \( w=9.1~J, \Delta U=9.1~J, \Delta H=0; q=0 \)
- C \( w=+4.1~kJ, \Delta U=0, \Delta H=0; q=-4.1~kJ \)
- D \( w=-3.9~kJ, \Delta U=0, \Delta H=0; q=3.9~kJ \)
Answer & Solution
Correct Answer
(A) \( w=-9.1~kJ, \Delta U=0, \Delta H=0, q=9.1~kJ \)
Step-by-step Solution
Detailed explanation
For isothermal reversible process \( \Delta U=\Delta H=0 \) \( w_{iso}=-p_{1}v_{1} \ln \frac{p_1}{p_2} \) \( W_{iso}=-0.5 \times 10^{6} \times 20 \times 10^{-3} \ln \frac{0.5}{0.2} \) \( W_{iso}=-0.5 \times 10^{6} \times 20 \times 10^{-3} \times 2.303 \times (0.6989-0.3010) \)…
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