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  • The equation of a state of a gas is given by <img alt="\mathrm{P}(\mathrm{V}-\mathrm{b})=\mathrm{nRT}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7BP%7D%28%5Cmathrm%7BV%7D-%5Cma

The equation of a state of a gas is given by \mathrm{P}(\mathrm{V}-\mathrm{b})=\mathrm{nRT}. If 1 mole of a gas is isothermally expanded from volume \mathrm{V} to 2 \mathrm{~V},the work done during the process is

Option: 1

\mathrm{R T \ln \left|\frac{2 \mathrm{~V}-\mathrm{b}}{\mathrm{V}-\mathrm{b}}\right|}


Option: 2

\mathrm{R T \ln \left|\frac{V-b}{V}\right|}


Option: 3

\mathrm{R T \ln \left|\frac{V-b}{2 V-b}\right|}


Option: 4

\mathrm{R T \ln \left|\frac{V}{V-b}\right|}


Answers (1)

best_answer

\mathrm{\mathrm{W}=\int \mathrm{PdV}=\int_{\mathrm{V}}^{2 \mathrm{~V}} \frac{\mathrm{nRT}}{\mathrm{V}-\mathrm{b}} \mathrm{dV}=\mathrm{RT} \ln \left|\frac{2 \mathrm{~V}-\mathrm{b}}{\mathrm{V}-\mathrm{b}}\right|}

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Pankaj

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