Match Column - I and Column - II and choose the correct match from the given choices. Column - I: (A) Root mea

Question

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 molecule, (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) $\frac{3}{2}k_BT$.

Accepted Answer

Root mean square speed of gas molecules is $\sqrt{\frac{3RT}{M}}$ (A-Q). Pressure exerted by ideal gas is $\frac{1}{3}nm\bar{v}^2$ (B-P). Average kinetic energy of a molecule is $\frac{3}{2}k_BT$ (C-S). Total internal energy of 1 mole of a diatomic gas is $\frac{5}{2}RT$ (D-R). Thus, the correct match is (A)-(Q), (B)-(P), (C)-(S), (D)-(R).

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