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QJEEM24Phcd2d: JEE Main 2024 Physics - Class 11 JEEM24Phcd2d Solution: A diatomic gas does of work when it is expanded isobarically.…

A diatomic gas (γ=1.4)(\gamma=1.4) does 200 J200 \mathrm{~J} of work when it is expanded isobarically. The heat given to the gas in the process is :

Multiple Choice Options

  • A 800 J800 \mathrm{~J}
  • B 600 J600 \mathrm{~J}
  • C 700 J700 \mathrm{~J}
  • D 850 J850 \mathrm{~J}

Step-by-Step Verified Solution

amp;γ=1+2f=1.4⇒2f=0.4amp;⇒f=5amp; W=nRΔT=200 Jamp;Q=(f+22)nRΔTamp;=72×200=700 J\begin{aligned} & \gamma=1+\frac{2}{\mathrm{f}}=1.4 \Rightarrow \frac{2}{\mathrm{f}}=0.4 \\\\ & \Rightarrow \mathrm{f}=5 \\\\ & \mathrm{~W}=\mathrm{nR} \Delta \mathrm{T}=200 \mathrm{~J} \\\\ & \mathrm{Q}=\left(\frac{\mathrm{f}+2}{2}\right) \mathrm{nR} \Delta \mathrm{T} \\\\ & =\frac{7}{2} \times 200=700 \mathrm{~J}\end{aligned}

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