NEET 2021 · PhysicsGas pressurePrevious Year Question

Match Column-I with Column-II and choose the correct match from the given choices: Column-I (A) Root mean square speed of gas molecules (B) Pressure exerted by ideal gas (C) Average kinetic energy of a molecule (D) Total internal energy of 1 mole of a diatomic gas Column-II (i) ⅓ n m v²_rms (ii) √(3RT/M) (iii) (5/2) RT (iv) (3/2) k_B T Choose the correct match:

Answer: (A) A-(ii), B-(i), C-(iv), D-(iii). Correct Answer (A): A-(ii), B-(i), C-(iv), D-(iii) Each Column-I quantity matches its standard kinetic-theory expression: (A) rms speed v_rms = √(3RT/M) → (ii) (B) pressure of an ideal gas P = ⅓ n m v²_rms → (i) (C) average kinetic energy per molecule = (3/2) k_BT → (iv) (D) internal energy of 1 mole of a diatomic gas = (5/2) RT (f = 5) → (iii) Hence the correct pairing is A-(ii), B-(i), C-(iv), D-(iii).

A.A-(ii), B-(i), C-(iv), D-(iii)✓
B.A-(iii), B-(ii), C-(i), D-(iv)
C.A-(iii), B-(i), C-(iv), D-(ii)
D.A-(ii), B-(iii), C-(iv), D-(i)

Correct Answer

(A) A-(ii), B-(i), C-(iv), D-(iii)

Solution & Explanation

Correct Answer (A): A-(ii), B-(i), C-(iv), D-(iii) Each Column-I quantity matches its standard kinetic-theory expression: (A) rms speed v_rms = √(3RT/M) → (ii) (B) pressure of an ideal gas P = ⅓ n m v²_rms → (i) (C) average kinetic energy per molecule = (3/2) k_BT → (iv) (D) internal energy of 1 mole of a diatomic gas = (5/2) RT (f = 5) → (iii) Hence the correct pairing is A-(ii), B-(i), C-(iv), D-(iii).

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