2021 Kinetic TheoryKinetic Theory of Gases – Speed, Pressure and Energy Medium Question 11 of 34 in Kinetic Theory

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

Column I

  • A. Root mean square speed of gas molecules
  • B. Pressure exerted by ideal gas
  • C. Average kinetic energy of a molecules
  • D. Total internal energy of 1 mole of a diatomic gas

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

Solution

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.

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34 questions from this chapter have appeared across 19 exam years.