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AP EAMCET20226 Jul 2022Evening ShiftPhysicsThermodynamicsActual

A container of 10 ~L is filled with an ideal gas at a temperature of 27^ C at a pressure 12 ~atm . The volume of the container is reduced to 6 ~L and the temperature of the gas in increased by 30^ C , then the final pressure of the gas is

Options

  1. A22 ~atm
  2. B20 ~atm
  3. C11 ~atm
  4. D9 ~atm

Correct answer

B. 20 ~atm

Step-by-step solution

Given, V₁=10 ~L =10 10⁻³ ~m ^3 aligned & T ₁=27^ C =27+273=300 ~K & p₁=12 ~atm & V₂=6 ~L =6 10⁻³ ~m ^3 & T₂=30^ C =273+30=303 ~K & p₂=? aligned By ideal gas equation, aligned p₁ V₁ T₁ & = p₂ V₂ T₂ p₂ & = p₁ V₁ T₂ T₁ V₂ & = 12 10 10⁻³ 303 300 6 10⁻³ =20.2 ~atm & 20 ~atm aligned

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