Five moles of an ideal gas at 293K is expanded isothermally from an initial pressure of 2.1 MPa to 1.3 MPa against at constant external pressure 4.3 MPa. The heat transferred in this process is…….. kJ mol^-1. (Rounded-off to the nearest integer).

[Use R = 8.314 J mol^-1 K^-1]

<p>If&nbsp;<math><mrow><mi>Δ</mi><mi>E</mi><mo>=</mo><mn>0</mn></mrow></math></p><p>Q = W</p><p>W = -P_ext&nbsp;<math><mrow><mrow><mo> (</mo><mrow><mi>Δ</mi><mi>V</mi></mrow><mo>)</mo></mrow><mo>=</mo><mo>−</mo><mn>4</mn><mo>.</mo><mn>3</mn><mtext> </mtext><mtext> </mtext><mi>n</mi><mi>R</mi><mi>T</mi><mrow><mo> [</mo><mrow><mfrac><mrow><mn>1</mn></mrow><mrow><msub><mrow><mi>P</mi></mrow><mrow><mn>2</mn></mrow></msub></mrow></mfrac><mo>−</mo><mfrac><mrow><mn>1</mn></mrow><mrow><msub><mrow><mi>P</mi></mrow><mrow><mn>1</mn></mrow></msub></mrow></mfrac></mrow><mo>]</mo></mrow></mrow></math></p><p>=&nbsp;<math><mrow><mo>−</mo><mn>4</mn><mo>.</mo><mn>3</mn><mo>×</mo><mn>5</mn><mo>×</mo><mn>8</mn><mo>.</mo><mn>3</mn><mn>1</mn><mn>4</mn><mo>×</mo><mn>2</mn><mn>9</mn><mn>3</mn><mrow><mo> [</mo><mrow><mfrac><mrow><mn>1</mn></mrow><mrow><mn>1</mn><mo>.</mo><mn>3</mn></mrow></mfrac><mo>−</mo><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn><mo>.</mo><mn>1</mn></mrow></mfrac></mrow><mo>]</mo></mrow></mrow></math></p><p>= 15347.70 K = 15.3 kJ</p><p>Q = 15 kJ</p>

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