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Heat and Thermodynamics question

2022 · Shift 1 · Q53
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Heat and Thermodynamics question

2022 · Shift 1 · Q53

JEE AdvancedPhysicsHeat and ThermodynamicsMCQ+3 / −1

List I describes thermodynamic processes in four different systems. List II gives the magnitudes (either exactly or as a close approximation) of possible changes in the internal energy of the system due to the process.

List-I List-II
(I) 10−3 kg10^{-3} \mathrm{~kg}10−3 kg of water at 100∘C100^{\circ} \mathrm{C}100∘C is converted to steam at the same temperature, at a pressure of 105 Pa10^{5} \mathrm{~Pa}105 Pa. The volume of the system changes from 10−6 m310^{-6} \mathrm{~m}^{3}10−6 m3 to 10−3 m310^{-3} \mathrm{~m}^{3}10−3 m3 in the process. Latent heat of water =2250  kJ/kg=2250\, \mathrm{~kJ} / \mathrm{kg}=2250 kJ/kg.
 (P) 2 kJ2 \mathrm{~kJ}2 kJ
(II) 0.20.20.2 moles of a rigid diatomic ideal gas with volume VVV at temperature 500 K500 \mathrm{~K}500 K undergoes an isobaric expansion to volume 3 V3 \mathrm{~V}3 V. Assume R=8.0Jmol−1 K−1R=8.0 \mathrm{Jmol}^{-1} \mathrm{~K}^{-1}R=8.0Jmol−1 K−1.
 (Q) 7kJ7 k J7kJ
(III) One mole of a monatomic ideal gas is compressed adiabatically from volume V=13 m3V=\frac{1}{3} \mathrm{~m}^{3}V=31​ m3 and pressure 2kPa2 \mathrm{kPa}2kPa to volume V8\frac{V}{8}8V​.
 (R) 4 kJ4 \mathrm{~kJ}4 kJ
(IV) Three moles of a diatomic ideal gas whose molecules can vibrate, is given 9 kJ9 \mathrm{~kJ}9 kJ of heat and undergoes isobaric expansion.
 (S) 5 kJ5 \mathrm{~kJ}5 kJ
(T) 3 kJ3 \mathrm{~kJ}3 kJ

Which one of the following options is correct?

  1. A
    I →\rightarrow→ T, II →\rightarrow→ R, III →\rightarrow→ S, IV →\rightarrow→ Q
  2. B
    I →\rightarrow→ S, II →\rightarrow→ P, III →\rightarrow→ T, IV →\rightarrow→ P
  3. C
    I →\rightarrow→ P, II →\rightarrow→ R, III →\rightarrow→ T, IV →\rightarrow→ Q
  4. D
    I →\rightarrow→ Q, II →\rightarrow→ R, III →\rightarrow→ S, IV →\rightarrow→ T
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