Cooking gas containers are kept in a lorry moving with uniform speed. The temperature of the gas molecules inside will ___________

Decreases for some, while the increase for others

Decreases for some, while the increase for others

Kinetic Theory of Gas Formulas

1. Boltzmann’s constant

k_B=nR/N

k_Bis the Boltzmann’s constant

R is the gas constant

n is the number of moles

N is the number of particles in one mole (the Avogadro number)

2. Total translational K.E of gas

K.E= (3/2)nRT

n is the number of moles

R is the universal gas constant

T is the absolute temperature

3. Maxwell distribution law

Maxwell distribution law

V_rms ＞ V＞ V_p

V_rms is the RMS speed

V is the Average speed

V_pis the most probable speed

4. RMS speed (V_rms)

\(\begin{array}{l}V_{rms}=\sqrt{\frac{3kt}{m}}=\sqrt{\frac{3RT}{M}}\end{array} \)

R is the universal gas constant

T is the absolute temperature

M is the molar mass

5. Average Speed (V)

\(\begin{array}{l}\vec{v}=\sqrt{\frac{8kt}{\pi m}}=\sqrt{\frac{8RT}{\pi M}}\end{array} \)

6. Most probable speed (V_p)

\(\begin{array}{l}v_{p}=\sqrt{\frac{2kt}{m}}=\sqrt{\frac{2RT}{M}}\end{array} \)

7. Pressure of ideal gas

p=⅓ ρ v²_rms

ρ is the density of molecules

8. Equipartition of energy

K=½ k_BT for each degree of freedom

K=(f/2) k_BT for molecules having f degrees of freedom

k_Bis the Boltzmann’s constant

T is the temperature of the gas

9. Internal energy

U = (f/2)nRT

For n moles of an ideal gas.

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