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JEE Main 201910 AprilEvening Shift
Exam
JEE Main
Year
2019
Date
10 April
Shift
Evening Shift
Subject
Physics
Chapter
Kinetic Theory of Gases

JEE Main 2019 · 10 April · Evening Shift · Physics · Kinetic Theory of Gases

When heat Q is supplied to a diatomic gas of rigid molecules, at...

When heat QQ is supplied to a diatomic gas of rigid molecules, at constant volume its temperature increases by ∆T∆ T . The heat required to produce the same change in temperature, at a constant pressure is:

Options

  1. A32Q\dfrac{3}{2}Q
  2. B75Q\dfrac{7}{5}Q
  3. C53Q\dfrac{5}{3}Q
  4. D23Q\dfrac{2}{3}Q

Correct answer

B. 75Q\dfrac{7}{5}Q

Step-by-step solution

For diatomic gas CP=72R{C}_{P} = \dfrac{7}{2}R
CV=52R{C}_{V} = \dfrac{5}{2}R
Heat supplied at constant volume Q=nCV\DeltaTQ = n{C}_{V}\DeltaT
Heat supplied at constant pressure Q′=nCP\DeltaT{Q}^{'} = n{C}_{P}\DeltaT
QQ′=CVCP\dfrac{Q}{{Q}^{'}} = \dfrac{{C}_{V}}{{C}_{P}}
Q′=QCPCV=75Q{Q}^{'} = Q\dfrac{{C}_{P}}{{C}_{V}} = \dfrac{7}{5}Q
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