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Heat and Thermodynamics question

2024 · Shift 1 · Q48
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Heat and Thermodynamics question

2024 · Shift 1 · Q48

JEE AdvancedPhysicsHeat and ThermodynamicsMCQ+3 / −1

One mole of a monatomic ideal gas undergoes the cyclic process J→K→L→M→J\mathrm{J} \rightarrow \mathrm{K} \rightarrow \mathrm{L} \rightarrow \mathrm{M} \rightarrow \mathrm{J}J→K→L→M→J, as shown in the P-T diagram.

JEE Advanced 2024 Paper 1 Online Physics - Heat and Thermodynamics Question 6 English

Match the quantities mentioned in List-I with their values in List-II and choose the correct option.

[ R\mathcal{R}R is the gas constant.]

List-I List-II
(P) Work done in the complete cyclic process (1) RT0−4RT0ln⁡2RT_0 - 4RT_0 \ln 2RT0​−4RT0​ln2
(Q) Change in the internal energy of the gas in the process JK (2) 000
(R) Heat given to the gas in the process KL (3) 3RT03RT_03RT0​
(S) Change in the internal energy of the gas in the process MJ (4) −2RT0ln⁡2-2RT_0 \ln 2−2RT0​ln2
(5) −3RT0ln⁡2-3RT_0 \ln 2−3RT0​ln2
  1. A
    P→1;Q→3;R→5;S→4\mathrm{P} \rightarrow 1 ; \mathrm{Q} \rightarrow 3 ; \mathrm{R} \rightarrow 5 ; \mathrm{S} \rightarrow 4P→1;Q→3;R→5;S→4
  2. B
    P→4;Q→3;R→5;S→2\mathrm{P} \rightarrow 4 ; \mathrm{Q} \rightarrow 3 ; \mathrm{R} \rightarrow 5 ; \mathrm{S} \rightarrow 2P→4;Q→3;R→5;S→2
  3. C
    P→4;Q→1;R→2;S→2\mathrm{P} \rightarrow 4 ; \mathrm{Q} \rightarrow 1 ; \mathrm{R} \rightarrow 2 ; \mathrm{S} \rightarrow 2P→4;Q→1;R→2;S→2
  4. D
    P→2;Q→5;R→3;S→4\mathrm{P} \rightarrow 2 ; \mathrm{Q} \rightarrow 5 ; \mathrm{R} \rightarrow 3 ; \mathrm{S} \rightarrow 4P→2;Q→5;R→3;S→4
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