Verified Solution • 2025–26 Session moderate

QJEEM19Ph99f3: JEE Main 2019 Physics - Class 11 JEEM19Ph99f3 Solution: When heat Q is supplied to a diatomic gas of rigid molecules,…

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

Multiple Choice Options

  • A 75Q{7 \over 5}Q
  • B 32Q{3 \over 2}Q
  • C 23Q{2 \over 3}Q
  • D 53Q{5 \over 3}Q

Step-by-Step Verified Solution

Heat supplied at constant volume
Q = nCV Δ\Delta T

and heat supplied at constant pressure
Q' = nCP Δ\Delta T

Q′=CPCVQ=(1+25)Q=75QQ' = {{{C_P}} \over {{C_V}}}Q = \left( {1 + {2 \over 5}} \right)Q = {7 \over 5}Q

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