[UPSC CSE 2023] Statistical Physics (Q251, 15M)

Use the Maxwell-Boltzmann distribution to find the number of oxygen molecules whose velocities lie between 195\text{ m/s} and 205\text{ m/s} at 0^\circ\text{C}. The given mass of oxygen gas is 0\cdot1\text{ kg}. (Assume mass of proton to be 1\cdot66 \times 10^{-27}\text{ kg})