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JEE Main
Exam
JEE Main
Subject
Physics
Chapter
Kinetic Theory of Gases

JEE Main · 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=nCVΔTQ = n{C}_{V}\Delta T
Heat supplied at constant pressure Q′=nCPΔTQ^{'} = n{C}_{P}\Delta T
QQ′=CVCP\dfrac{Q}{Q^{'}} = \dfrac{{C}_{V}}{{C}_{P}}
Q′=QCPCV=75QQ^{'} = Q\dfrac{CP}{CV} = \dfrac{7}{5}Q
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