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Heat and Thermodynamics question

2021 · Q159
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Heat and Thermodynamics question

2021 · Q159

NEETPhysicsHeat and ThermodynamicsMCQ+4 / −1
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) 13nmv‾2{1 \over 3}nm{\overline v ^2}31​nmv2
(B) Pressure exerted by ideal gas (Q) 3RTM\sqrt {{{3RT} \over M}}M3RT​​
(C) Average kinetic energy of a molecule (R) 52RT{5 \over 2}RT25​RT
(D) Total internal energy of 1 mole of a diatomic gas (S) 32kBT{3 \over 2}{k_B}T23​kB​T
  1. A
    (A) - (R), (B) - (Q), (C) - (P), (D) - (S)
  2. B
    (A) - (R), (B) - (P), (C) - (S), (D) - (Q)
  3. C
    (A) - (Q), (B) - (R), (C) - (S), (D) - (P)
  4. D
    (A) - (Q), (B) - (P), (C) - (S), (D) - (R)
View written solutionFree

Correct answer: D

(A) Vrms=3RTM{V_{rms}} = \sqrt {{{3RT} \over M}} Vrms​=M3RT​​

(B) P=P = P= 13nmv‾2{1 \over 3}nm{\overline v ^2}31​nmv2

(C) E=32kTE = {3 \over 2}kTE=23​kT

(D) ETotal=nf2RT=52RT{E_{Total}} = n{f \over 2}RT = {5 \over 2}RTETotal​=n2f​RT=25​RT

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