Question

\(20.0\,\text{dm}^3\) of an ideal gas \(X\) at \(600\) K and \(0.5\) MPa undergoes isothermal reversible expansion until the pressure of the gas becomes \(0.2\) MPa. Which of the following option is correct? (Given: \(\log 2 = 0.3010\), \(\log 5 = 0.6989\))

• A. \(w=-3.9\,\text{kJ},\ \Delta U=0,\ \Delta H=0,\ q=3.9\,\text{kJ}\)
• B. \(w=9.1\,\text{kJ},\ \Delta U=9.1\,\text{kJ},\ \Delta H=0,\ q=0\)
• C. \(w=-9.1\,\text{kJ},\ \Delta U=0,\ \Delta H=0,\ q=9.1\,\text{kJ}\)
• D. \(w=+4.1\,\text{kJ},\ \Delta U=0,\ \Delta H=0,\ q=-4.1\,\text{kJ}\)

Hint:

In isothermal processes of ideal gases, work done is exactly balanced by heat absorbed or released.

Answer 1

The Correct Option is C