Qstnid -I-10-an Ideal Gas Is Pumped Into A Rigid Container Having Diathermic Walls So That The Temperature Remains Constant. In A Certain Time Interval, The Pressure In The Container Is Doubled. Is The Internal Energy Of The Contents Of The Container Also Doubled In The Interval ? - 26: Laws Of Thermodynamics - Cbse-xi-physics

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CBSE-XI-Physics

26: Laws of Thermodynamics

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#10
An ideal gas is pumped into a rigid container having diathermic walls so that the temperature remains constant. In a certain time interval, the pressure in the container is doubled. Is the internal energy of the contents of the container also doubled in the interval ?
Ans : An ideal gas is continuously being pumped into the container. Therefore, the number of moles, n are continuously increasing. In a certain interval,
Pressure, P₂ = 2P₁
n₂ = 2n₁
Thus, internal energy, U = nC_vT will double as the number of moles get doubled.
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