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Physics · PYQ NEET UG 2025

हिन्दी

A container has two chambers of volumes \( V_1 = 2 \) litres and \( V_2 = 3 \) litres separated by a partition made of a thermal insulator. The chambers contains \( n_1 = 5 \) and \( n_2 = 4 \) moles of ideal gas at pressures \( p_1 = 1 \) atm and \( p_2 = 2 \) atm, respectively. When the partition is removed, the mixture attains an equilibrium pressure of :

  1. \( 1.3 \text{ atm} \)
  2. \( 1.6 \text{ atm} \)
  3. \( 1.4 \text{ atm} \)
  4. \( 1.8 \text{ atm} \)

Correct answer · Option 2

\( 1.6 \text{ atm} \)

Explanation

Using conservation of internal energy or total moles and ideal gas law: \( P = \frac{n_1 R T_1 + n_2 R T_2}{V_1 + V_2} = \frac{p_1 V_1 + p_2 V_2}{V_1 + V_2} = \frac{(1)(2) + (2)(3)}{2 + 3} = \frac{2 + 6}{5} = 1.6 \text{ atm} \).
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