One mole of an ideal monoatomic gas is enclosed in a chamber at 300 K. The gas undergoes a process in which pressure is proportional to the volume. At the end of the process, the volume of the gas is

Question

One mole of an ideal monoatomic gas is enclosed in a chamber at 300 K. The gas undergoes a process in which pressure is proportional to the volume. At the end of the process, the volume of the gas is doubled. The change in the internal energy of the gas is [R is gas constant]

TestHub · Accepted Answer

P ∝ V and P V = RT ⇒ V 2 ∝ T : doubling V gives T 2 ​ = 4 T 1 ​ = 1200 K . Δ U = n C V ​ Δ T = 2 3 ​ R × 900 = 1350 R .

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