One mole of an ideal gas at 27°C is taken from A to B as shown in the given PV indicator diagram. The work done by the system will be________× 10^-1 J.

[Given : R = 8.3J/mole K, $\mathcal{l}n2$  = 0.6931]

(Round off to the nearest integer)

<p>Since process is isothermal, so</p><p><span contenteditable="false"> <math> <mrow> <mi>W</mi> <mo>=</mo> <mi>n</mi> <mi>R</mi> <mi>T</mi> <mi mathvariant="script">l</mi> <mi>n</mi> <mrow> <mo> (</mo> <mrow> <mfrac> <mrow> <msub> <mrow> <mi>V</mi> </mrow> <mrow> <mi>f</mi> </mrow> </msub> </mrow> <mrow> <msub> <mrow> <mi>V</mi> </mrow> <mrow> <mi>i</mi> </mrow> </msub> </mrow> </mfrac> </mrow> <mo>)</mo> </mrow> <mo>=</mo> <mn>1</mn> <mo>×</mo> <mn>8</mn> <mo>.</mo> <mn>3</mn> <mo>×</mo> <mn>3</mn> <mn>0</mn> <mn>0</mn> <mo>×</mo> <mi mathvariant="script">l</mi> <mi>n</mi> <mrow> <mo> (</mo> <mrow> <mfrac> <mrow> <mn>4</mn> </mrow> <mrow> <mn>2</mn> </mrow> </mfrac> </mrow> <mo>)</mo> </mrow> <mo>=</mo> <mn>1</mn> <mo>×</mo> <mn>8</mn> <mo>.</mo> <mn>3</mn> <mo>×</mo> <mn>3</mn> <mn>0</mn> <mn>0</mn> <mo>×</mo> <mi mathvariant="script">l</mi> <mi>n</mi> <mrow> <mo> (</mo> <mrow> <mn>2</mn> </mrow> <mo>)</mo> </mrow> </mrow> </math> </span> &nbsp; &nbsp; &nbsp;&nbsp;&lt;!- [if gte mso 9]>&lt;xml&gt; <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1025" DrawAspect="Content" ObjectID="_1816156584"> </o:OLEObject>&lt;/xml&gt;&lt;! [endif]-&gt;</p><p><span contenteditable="false"> <math> <mrow> <mo>⇒</mo> <mi>W</mi> <mo>=</mo> <mn>1</mn> <mo>×</mo> <mn>8</mn> <mo>.</mo> <mn>3</mn> <mo>×</mo> <mn>3</mn> <mn>0</mn> <mn>0</mn> <mo>×</mo> <mn>0</mn> <mo>.</mo> <mn>6</mn> <mn>9</mn> <mn>3</mn> <mn>1</mn> <mo>≈</mo> <mn>1</mn> <mn>7</mn> <mn>2</mn> <mn>5</mn> <mo>.</mo> <mn>8</mn> <mn>2</mn> <mi>J</mi> <mo>≈</mo> <mn>1</mn> <mn>7</mn> <mn>2</mn> <mn>5</mn> <mn>8</mn> <mo>×</mo> <mn>1</mn> <msup> <mrow> <mn>0</mn> </mrow> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> <mi>J</mi> </mrow> </math> </span><br>&lt;!- [if gte mso 9]>&lt;xml&gt; <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1026" DrawAspect="Content" ObjectID="_1816156585"> </o:OLEObject>&lt;/xml&gt;&lt;! [endif]-&gt;</p>

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