Q.

Answer the following by appropriately matching the lists based on the information given in the paragraph.In a thermodynamic process on an ideal monatomic gas, the infinitesimal heat absorbed by the gas is given by  TΔX, where T is temperature of the system and ΔX is the infinitesimal change in a thermodynamic quantity X of the system. For a mole of monatomic ideal gas X=32Rln⁡TTA+Rln⁡VVA . Here R is gas constant, V is volume of gas and TA and VA are constants.The List-I below gives some quantities involved in a process and List-II gives some possible values of these quantities. If the process carried out on one mole of monatomic ideal gas is as shown in figure in the PV-diagram with P0V0 =13RT0  , the correct match is,

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a

I→ Q, II→ R, III →P, IV →U

b

I →Q, II →R, III→ S, IV →U

c

I →Q, II →S, III →R, IV→ U

d

I →S, II →R, III →Q, IV →T

answer is B.

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Detailed Solution

Temperature at 1 : T03Temperature at 2 : 2T03Temperature at 3 : 3T03 Work done in  1→2=P0V0                              2→3=0 Total work in   1→2→3=P0V0=13RToΔQ in              1→2=15R22T03-T03=56RToΔQ in              1→2→3=15R22T03-T03+13R23T03-2T03=43RToΔU in                 1→2→3=13R23T03-T03=RT0
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