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Kinetic Theory

Kinetic Theory of Gases – Speed, Pressure and Energy

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kinetic theory formulae

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2021 1 question

1 Kinetic Theory Medium

Match Column-I and Column-II and choose the correct match from the given choices.

Pick the matching item from Column II for each row.
Column I
- A. Root mean square speed of gas molecules Match for A
- B. Pressure exerted by ideal gas Match for B
- C. Average kinetic energy of a molecules Match for C
- D. Total internal energy of 1 mole of a diatomic gas Match for D
Column II
- P. $\frac{1}{3}nm\bar{v}^2$
- Q. $\sqrt{\frac{3RT}{M}}$
- R. $\frac{5}{2}RT$
- S. $\frac{3}{2}k_BT$
Correct answer: A → Q, B → P, C → S, D → R

Root mean square speed: $v_{rms} = \sqrt{\frac{3RT}{M}}$ Pressure exerted by an ideal gas: $P = \frac{1}{3}\rho v_{rms}^2 = \frac{1}{3}nm\bar{v}^2$ Average kinetic energy of a molecule: $\frac{3}{2}k_BT$ Total internal energy of 1 mole of a diatomic gas: $U = \frac{f}{2}RT = \frac{5}{2}RT$ Correct match: A-Q, B-P, C-S, D-R.