Title Chemical Thermodynamics - 01.pdf ✅

1 JEE ADVANCED 2024 Chemical Thermodynamics Single Correct (1 – 12) 1. If a closed system has adiabatic boundaries, then at least one boundary must be (1) permeable (2) imaginary (3) movable (4) fixed 2. Which of the following statement is incorrect? (1) Only a state function may be expressed as difference in its value at two states in any process. (2) A process cannot be defined on the basis of initial and final states of the system. (3) In a cyclic process, the internal energy of the system remains throughout constant. (4) During irreversible process, the equation PV = nRT is not applicable to ideal gas. 3. Which of following is incorrect about reversible process? (1) System always remains in thermodynamic equilibrium. (2) The process is extremely slow. (3) The process may be reversed at any stage only by making infi nitesimally small change in opposite direction. (4) Reversible processes may be performed in finite time. 4. The law of equipartition of energy is applicable to the system whose constituents are (1) in random motion. (2) in orderly motion. (3) moving with constant speed. (4) in rest. 5. An ideal gas undergoes isothermal expansion from ( 10 atm, 1 L) to ( 1 atm, 10 L) either by path-I (infinitestage expansion) or by path-II (first against 5 atm and then against 1 atm ). The value of ( qpath-1 qpath −11) is (1) 2.303 1.3 (2) 1.3 2.303 (3) 1.0 13×2.303 (4) 13 × 2.303 6. One mole of monoatomic ideal gas at T K is expanded from 1 L to 2 L adiabatically under a constant external pressure of 1 atm . The final temperature of the gas in Kelvin is (1) T (2) T 2 ( 5 3 −1) (3) T − 2 3×0.0821 (4) T + 3 2×0.0821 7. Two moles of an ideal gas (Cv,m = 5 2 R) was compressed adiabatically against constant pressure of 2 atm, which was initially at 350 K and 1 atm. The work done on the gas in this process is (1) 250R (2) 500R (3) 125R (4) 300R 8. An ideal monoatomic gas initially at 300 K expands adiabatically into vacuum to double its volume. The final temperature of gas is (1) 300 K (2) 300 × (0.5)2/3 K (3) 300 × (2)2/3 K (4) 600 K 9. When an ideal diatomic gas is a heated at a constant pressure, the fraction of heat energy supplied which increases the internal energy of the gas is (1) 2/5 (2) 3/5 (3) 5/7 (4) 3/7 10. A gas is heated at constant pressure. The fraction of heat absorbed used in doing work is (1) 1/γ (2) 1-1/γ (3) γ-1 (4) γ 11. An ideal gas undergoes a process in which its pressure and volume are related as PVn = constant, where n is a constant. The molar heat capacity for the gas in this process will be zero if (1) n = γ (2) n = γ – 1 (3) n = γ + 1 (4) n = 1 – γ DPP - 01

3 2 3 . Match the columns Column I Column II (1) Change in internal (P) Independent from the energy quantity of system (2) Heat (Q) Depends on the quantity of system (3) Work done (R) State function by a gas (4) Molar heat (S) Path function capacity at constant volume (1) A → Q; B → Q, S; C → Q, S; D → P (2) A → R, Q; B → R, S; C → R, P; D → P, S (3) A → R, S; B → P, R; C → Q; D → S (4) A → R, S; B → Q, P; C → S, Q; D → P, Q
4 Answer Key 1 . ( 3 ) 2 . ( 3 ) 3 . ( 4 ) 4 . ( 1 ) 5 . ( 1 ) 6 . ( 3 ) 7 . ( 2 ) 8 . ( 2 ) 9 . ( 3 ) 10 . ( 2 ) 11 . ( 1 ) 12 . ( 3 ) 13 . ( 2, 3, 4 ) 14 . ( 1, 2, 3 ) 15 . ( 1, 2, 3 ) 16 . ( 1, 2 ) 17 . ( 3 ) 18 . ( 1 ) 19 . ( 4 ) 2 0. (6) 2 1. (6) 2 2. (1) 2 3. (1)