Match Column - I and Column - II and choose the correct match from the given choices. Column - I Column - II (A) Root mean square speed of gas molecules ( P ) (1)/(3)nm v ^ 2 (B) Pressure exerted by ideal gas (Q)

Correct answer: C. ( A ) - ( Q ) , ( B ) - ( P ) , ( C ) - ( S ) , ( D ) - ( R ) The formula of root-mean-square speed is, v _ RMS = (3RT)/(M) , the formula of pressure exerted by the gas, p = (1)/(3)mn v ^ 2 , the formula of average kinetic energy of the gas is, K = (3)/(2) K _ B T and total energy of one mole of ideal gas is, Q = (5)/(2)RT .

NEET 2021

Exam: NEET
Year: 2021
Subject: Physics
Chapter: Kinetic Theory of Gases

NEET 2021 · Physics · Kinetic Theory of Gases

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

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

Column - I	Column - II
(A) Root mean square speed of gas molecules	$( P ) \dfrac{1}{3}nm{v}^{2}$
(B) Pressure exerted by ideal gas	\left(Q\right)\sqrt{\dfrac{3RT}{M}} $</td> </tr> <tr> <td>(C) Average kinetic energy of a molecule</td> <td>\left(R\right)\dfrac{5}{2}RT$
(D) Total internal energy of $1mol$ of a diatomic gas	\left(S\right)\dfrac{3}{2}{k}_{B}T

Options

A $( A ) - ( R ) , ( B ) - ( P ) , ( C ) - ( S ) , ( D ) - ( Q )$
B $( A ) - ( Q ) , ( B ) - ( R ) , ( C ) - ( S ) , ( D ) - ( P )$
C $( A ) - ( Q ) , ( B ) - ( P ) , ( C ) - ( S ) , ( D ) - ( R )$
D $( A ) - ( R ) , ( B ) - ( Q ) , ( C ) - ( P ) , ( D ) - ( S )$

Correct answer

C. $( A ) - ( Q ) , ( B ) - ( P ) , ( C ) - ( S ) , ( D ) - ( R )$

Step-by-step solution

The formula of root-mean-square speed is, ${v}_{RMS} = \sqrt{\dfrac{3RT}{M}}$ , the formula of pressure exerted by the gas, $p = \dfrac{1}{3}mn{v}^{2}$ , the formula of average kinetic energy of the gas is, $K = \dfrac{3}{2}{K}_{B}T$ and total energy of one mole of ideal gas is, $Q = \dfrac{5}{2}RT$ .

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