States Of Matter

To correctly match elements from Column - I with those in Column - II, we need to understand the concepts related to each term:

1. Root Mean Square (RMS) Speed of Gas Molecules: This is the measure of the average speed of particles in a gas and is given by the formula , where is the gas constant, is the temperature, and is the molar mass of the gas. Thus, (A) matches with (Q).
2. The Pressure Exerted by the Ideal Gas: This is described by the kinetic theory of gases, where pressure is given as , where is the number of molecules per unit volume, is the mass of one molecule, and is the RMS speed. Thus, (B) matches with (P).
3. The Average Kinetic Energy of a Molecule: This is given by the formula , where is Boltzmann's constant and is the temperature. Thus, (C) matches with (S).
4. The Total Internal Energy of 1 Mole of a Diatomic Gas: For a diatomic gas, the total internal energy is a function of the temperature and is given by for one mole. Thus, (D) matches with (R).

Therefore, the correct matching is:

• (A) - (Q)
• (B) - (P)
• (C) - (S)
• (D) - (R)

Hence, the correct answer is: (A) - (Q), (B) - (P), (C) - (S), (D) - (R).