P-V diagram of 2, g of He gas for A to B process is shown. heat given to gas ?

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11.Thermodynamics

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$P-V$ diagram of $2\, g$ of $He$ gas for $A \to B$ process is shown. What is the heat given to the gas ?

$4\,P_0V_0$

$6\,P_0V_0$

$4.5\,P_0V_0$

$2\,P_0V_0$

Solution

$P_{0} V_{0}=\mu R T_{1}$

$2 P_{0}\left(2 V_{0}\right) \Rightarrow \mu R T_{2}$

$\mu \mathrm{R} \Delta \mathrm{T}=3 \mathrm{P}_{0} \mathrm{V}_{0}$

$\Delta \mathrm{W}=\frac{1}{2}\left(\mathrm{P}_{0}+2 \mathrm{P}_{0}\right)\left(2 \mathrm{V}_{0}-\mathrm{V}_{0}\right)=+\frac{3 \mathrm{P}_{0} \mathrm{V}_{0}}{2}$

$\Delta \mathrm{U}=\mu \mathrm{C}_{\mathrm{v}} \Delta \mathrm{T}=\frac{3 \mu \mathrm{R}}{2}\left(\mathrm{T}_{f}-\mathrm{T}_{\mathrm{i}}\right)$

$\Rightarrow \frac{3(\mu R \Delta T)}{2} \Rightarrow+\frac{9 P_{0} V_{0}}{2}$

$\Delta Q \Rightarrow \frac{3 P_{0} V_{0}}{2}+\frac{9 P_{0} V_{0}}{2}=6 P_{0} V_{0}$

Standard 11

Physics

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$P-V$ diagram of $2\, g$ of $He$ gas for $A \to B$ process is shown. What is the heat given to the gas ?

Solution

Similar Questions

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