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MHT CET Medical202621 April 2026Morning ShiftPhysicsKinetic Theory of GasesActual

A vessel is filled with a gas at a pressure of 76 cm of mercury at a certain temperature. The mass of the gas is increased by 75 % by introducing more gas in the vessel at the same temperature. The resultant pressure of the gas is

Options

  1. A76 cm of mercury
  2. B108 cm of mercury
  3. C57 cm of mercury
  4. D133 cm of mercury

Correct answer

D. 133 cm of mercury

Step-by-step solution

From the ideal gas equation, PV = nRT = m M RT . Since the volume V of the vessel and the temperature T remain constant, the pressure of the gas is directly proportional to its mass m . P m P₂ P₁ = m₂ m₁ Given that the mass of the gas is increased by 75 % , the final mass is: m₂ = m₁ + 0.75m₁ = 1.75m₁ Substituting the values into the pressure relation: P₂ 76 = 1.75m₁ m₁ P₂ = 1.75 76 = 133 cm of Hg. Answer: 133 cm of mercury

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