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The pressure of a gas changes linearly with volume from \mathrm{A \: to\: B } as shown in figure. If no heat is supplied to or extracted from the gas then change in the internal energy of the gas will be

Option: 1

-4.5\mathrm{J}


Option: 2

\mathrm{Zero}


Option: 3

4.5\mathrm{J}


Option: 4

6\mathrm{J}


Answers (1)

best_answer

\begin{aligned} & \mathrm{W}=\text { Area of } P V \text { Graph } \\ \end{aligned}

\mathrm{\begin{aligned} &\mathrm{W} =-\frac{1}{2} \times[50+10] \times 10^3 \times 150 \times 10^{-6} \\ \end{aligned}}

\begin{aligned} &\mathrm{W} =-4.5 \mathrm{~J} \\ \end{aligned}

\begin{aligned} & \mathrm{Q}=\Delta U+W \\ \end{aligned}

\begin{aligned} & 0=\Delta \mathrm{U}-4.5 \\ \end{aligned}

\begin{aligned} & =\Delta \mathrm{U}=4.5 \mathrm{~J} \end{aligned}

 

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