NEET Preparation Series: Formula Sheet for Kinetic Theory of Gases (KTG)

Kinetic Theory of Gases (KTG) is an essential topic in the NEET exam. It explains the behavior of gases based on the motion of their particles. The following formula sheet will help you prepare for KTG.

1. Kinetic Energy of a Gas Particle
- KE = (1/2)mv²
where,
KE - Kinetic energy of the particle
m - Mass of the particle
v - Velocity of the particle

2. Average Kinetic Energy of a Gas Particle
- KEavg = (3/2)kT
where,
KEavg - Average kinetic energy of the particle
k - Boltzmann constant (1.38 x 10⁻²³ J/K)
T - Temperature in Kelvin

3. Root Mean Square (RMS) Velocity of a Gas Particle
- vrms = √(3kT/m)
where,
vrms - RMS velocity of the particle
k - Boltzmann constant (1.38 x 10⁻²³ J/K)
T - Temperature in Kelvin
m - Mass of the particle

4. Mean Free Path of a Gas Particle
- λ = (1/√2) (1/πd²n)
where,
λ - Mean free path of the particle
d - Diameter of the particle
n - Number of particles per unit volume

5. Pressure of a Gas
- P = (1/3) nmc²/V
where,
P - Pressure of the gas
n - Number of particles per unit volume
m - Mass of the particle
c - RMS velocity of the particle
V - Volume of the container

6. Ideal Gas Law
- PV = nRT
where,
P - Pressure of the gas
V - Volume of the container
n - Number of moles of the gas
R - Gas constant (8.31 J/molK)
T - Temperature in Kelvin

7. Root Mean Square (RMS) Speed of the Gas Molecules
- C(rms) = √(3RT/M)
where,
C(rms) - RMS speed of gas molecules
R - Gas constant (8.31 J/molK)
T - Temperature in Kelvin
M - Molar mass of gas

8. Degrees of Freedom of a Gas Molecule
- f = 3N - r
where,
f - Degrees of freedom
N - Number of particles in the gas
r - Number of constraints on the motion of the particles

Keep this formula sheet handy while preparing for Kinetic Theory of Gases (KTG) for the NEET exam.