Q.
One mole of a monatomic ideal gas undergoes four thermodynamic processes as shown schematically in the PV-diagram below. Among these four processes, one is isobaric, one is isochoric, one is isothermal and one is adiabatic. Match the processes mentioned in List-1 with the corresponding statements in List-II.
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a
P → 4; Q → 3; R → 1; S → 2
b
P → 1; Q → 3; R → 2; S → 4
c
P → 3; Q → 4; R → 1; S → 2
d
P → 3; Q → 4; R → 2; S → 1
answer is C.
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Detailed Solution
Process-I is an adiabatic processΔQ=ΔU+W ΔQ=0 W=−ΔU Volume of gas is decreasing ⇒W<0 ΔU>0Temperature of gas increases No heat is exchanged between the gas and surrounding.Process –II is an isobaric process (pressure remain constant)W=PΔV=3P03V0−V0=6P0V0 Process-III is an isochoric process ( volume remain constant) ΔQ=ΔU+W ⇒ΔQ=ΔU Process-IV is an isothermal process (temperature remains constant)ΔQ=ΔU+W ⇒ΔU=0
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