Question 240: Thermodynamics & KTG

Question

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

Accepted Answer

$\begin{aligned} & \gamma=1+\frac{2}{\mathrm{f}}=1.4 \Rightarrow \frac{2}{\mathrm{f}}=0.4 \\ & \Rightarrow \mathrm{f}=5 \\ & \mathrm{~W}=\mathrm{nR} \Delta \mathrm{T}=200 \mathrm{~J} \\ & \mathrm{Q}=\left(\frac{\mathrm{f}+2}{2}ight) \mathrm{nR} \Delta \mathrm{T} \\ & =\frac{7}{2} 	imes 200=700 \mathrm{~J}\end{aligned}$

Answer

$800 \mathrm{~J}$

Answer

$600 \mathrm{~J}$

Answer

$700 \mathrm{~J}$

Answer

$850 \mathrm{~J}$

Thermodynamics & KTG

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

Choose the correct answer: