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

 

 

 

 

 

 

 

  • Option 1)

    \frac{2}{3}Q

  • Option 2)

    \frac{5}{3}Q

  • Option 3)

    \frac{7}{5}Q

  • Option 4)

    \frac{3}{2}Q

 

Answers (1)

As we know

Q=u-\omega

at constant volume

Q=\Delta u

Q= nC_{V}\Delta T

Q= n\times \frac{5}{2}R\Delta T=\Delta u

Q_{p}=at\, \, constant\, \, pressure

Q_{p}=n C_{p}\Delta T

Q_{p}= n\times (\frac{7}{2}R)\Delta T\Rightarrow \frac{Q}{Q_{p}}=\frac{n\times 5/2R\Delta T}{n\times 7/2R\Delta T}

Q_{p}=\frac{7Q}{5}


Option 1)

\frac{2}{3}Q

Option 2)

\frac{5}{3}Q

Option 3)

\frac{7}{5}Q

Option 4)

\frac{3}{2}Q

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