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Chemistry · THERMODYNAMICS

हिन्दी

Two litres of an ideal gas at a pressure of \( 10\text{ atm} \) expands isothermally at \( 25^\circ\text{C} \) into a vacuum until its total volume becomes \( 10\text{ litres} \). The heat absorbed (\( q \)) and work done (\( w \)) in this expansion are respectively:

  1. \( q = 80\text{ L atm}, w = -80\text{ L atm} \)
  2. \( q = -8\text{ L atm}, w = 8\text{ L atm} \)
  3. \( q = 39.366\text{ L atm}, w = -39.366\text{ L atm} \)
  4. \( q = 0, w = 0 \)

Correct answer · Option 4

\( q = 0, w = 0 \)

Explanation

In free expansion into a vacuum, \( p_{\text{ex}} = 0 \), so \( w = 0 \). Since it is isothermal for an ideal gas, \( \Delta U = 0 \), giving \( q = -w = 0 \).
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