According to kinetic theory of gases, which of the following is/are true?

Three Types of Molecular Velocities:

1. Root Mean Square Velocity (c_rms)

c_rms = √(3RT/M)

Formula: Square root of (3RT/M)

2. Average Velocity (c_ave)

c_ave = √(8RT/πM)

Formula: Square root of (8RT/πM)

3. Most Probable Velocity (c_m)

c_m = √(2RT/M)

Formula: Square root of (2RT/M)

Where:

• R = Universal Gas Constant
• T = Absolute Temperature (in Kelvin)
• M = Molar Mass of the gas

Answer:

All three formulas shown above are correct according to the kinetic theory of gases.

These are derived from the Maxwell-Boltzmann distribution of molecular speeds.

Relationship:

c_rms > c_ave > c_m