In a certain thermodynamical process, the pressure of a gas depends on its volume as kV³. The work done when the temperature change from 100°C to 300°C will be…………….. nR, where n denotes number of moles of a gas.

<p>P = kV³ Þ PV^-3 = k Þ Polytropic Process with index m = -3</p><p>W = <span contenteditable="false"> <math> <mrow> <mfrac> <mrow> <mi>n</mi> <mi>R</mi> <mrow> <mo> (</mo> <mrow> <msub> <mrow> <mi>T</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msub> <mo>−</mo> <msub> <mrow> <mi>T</mi> </mrow> <mrow> <mn>1</mn> </mrow> </msub> </mrow> <mo>)</mo> </mrow> </mrow> <mrow> <mn>1</mn> <mo>−</mo> <mi>m</mi> </mrow> </mfrac> <mo>=</mo> <mfrac> <mrow> <mi>n</mi> <mi>R</mi> <mrow> <mo> (</mo> <mrow> <mn>3</mn> <mn>0</mn> <mn>0</mn> <mo>−</mo> <mn>1</mn> <mn>0</mn> <mn>0</mn> </mrow> <mo>)</mo> </mrow> </mrow> <mrow> <mn>1</mn> <mo>−</mo> <mrow> <mo> (</mo> <mrow> <mo>−</mo> <mn>3</mn> </mrow> <mo>)</mo> </mrow> </mrow> </mfrac> <mo>=</mo> <mn>5</mn> <mn>0</mn> <mi>n</mi> <mi>R</mi> </mrow> </math> </span>&lt;!- [if gte mso 9]>&lt;xml&gt; <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1025" DrawAspect="Content" ObjectID="_1816590441"> </o:OLEObject>&lt;/xml&gt;&lt;! [endif]-&gt;.</p>

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