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  • In a certain process, pressure P, volume V and temperature T of a gas are related as <img alt="\mathrm{P V=k T^n}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7BP%20V%3Dk%20T%5En

In a certain process, pressure P, volume V and temperature T of a gas are related as \mathrm{P V=k T^n} where k and n are constants. The work done by the gas when the pressure is kept constant, is proportional to

Option: 1

\mathrm{(T)^{1 / n}}


Option: 2

\mathrm{(T)^n}


Option: 3

\mathrm{T^{(n+1)}}


Option: 4

\mathrm{T^{(n-1)}}


Answers (1)

best_answer

\mathrm{\text { Given } V=\frac{k T^n}{P} \text {. Since } P=\text { constant, }}

\mathrm{d V=\frac{k n}{P} T^{(n-1)} d T}

\mathrm{\text { Work done } W=\int P d V=k n \int T^{(n-1)} d T}

\mathrm{=k T^n+c}

Where c = constant of integration

Posted by

sudhir kumar

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