Match Column-I and Column-II and choose the correct match from the given choices. Kinetic Theory , Root mean square speed of gas molecules [2021]

STUDY MATERIALS
COURSES
MORE
SUCCESS STORY
ADMISSION
STORE

Back

JEE ADVANCE

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

JEE MAIN

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

NEET

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

BITSAT

CLASS XI - XII

CLASS XI - XII

CBSE BOARD

CLASS IX

CLASS X

CLASS XI

CLASS XII

CLASS VI

CLASS VII

CLASS VIII

UP BOARD

CLASS IX
CLASS X
CLASS XI
CLASS XII

CLASS IX

CLASS X

CLASS XI

CLASS XII

CUET

CRASH COURSE

CRASH COURSE

Courses

CLASSROOM COURSES
ONLINE COURSES

ONLINE COURSES

More

Solution

Q.
Match Column-I and Column-II and choose the correct match from the given choices. [2021]

Column-I Column-II

(A) Root mean square speed of gas molecules (P) $\frac{1}{3} n m {\bar{v}}^{2}$

(B) Pressure exerted by ideal gas (Q) $\sqrt{\frac{3 R T}{M}}$

(C) Average kinetic energy of a molecule (R) $\frac{5}{2} R T$

(D) Total internal energy of 1 mole of a diatomic gas (S) $\frac{3}{2} k_{B} T$

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

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

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

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

Ans.
(4)

The rms velocity is, $v_{rms} = \sqrt{\frac{3 R T}{M}}$

where, $R$ is a gas constant, $M$ = molecular mass, $T$ = absolute temperature. So, $A \to Q$

Pressure exerted by ideal gas is $\frac{1}{3} m n {\bar{v}}^{2},$ where $m$ is mass of each molecule, $n$ = number of molecules, ${\bar{v}}^{2}$ = rms speed. So, $B \to P .$

Average kinetic energy of a molecule $\frac{3}{2} k_{B} T$

where, $k_{B}$ = Boltzmann’s constant, $T$ = absolute temperature. So, $C \to S .$

Total internal energy of 1 mole of a diatomic gas, $U = \frac{5}{2} R T$

So, $D \to R$ .

Want Us to Email you About Special Offers & Updates?