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AP EAMCET2004PhysicsThermodynamics

Two identical vessels A and B with frictionless pistons contain the same ideal gas at the same temperature and the same volume V . The masses of gas in A and B and m_A and m_B , respectively. The gases are allowed to expand isothermally to the same final volume 2 V . The change in pressures of the gas in A and B are found to be P and 1.5 P , respectively. Then

Options

  1. A9 m_A=4 m_B
  2. B3 m_A=2 m_B
  3. C2 m_A=3 m_B
  4. D4 m_A=9 m_B

Correct answer

B. 3 m_A=2 m_B

Step-by-step solution

Let p₁ and p₂ are the initial and final pressures of the gas filled in A . Then p₁= _ A R T V and P₂= _A R T 2 V Dividing Eq. (ii) by (i), we get aligned 1.5 & = m_B m_A or 3 2 & = m_B m_A or 3 m_A & =2 m_B . aligned

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