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Standard XIII

Chemistry

Entropy Change in Isothermal Process

Consider the ...

Question

Consider the reversible isothermal expansion of an ideal gas in a closed system at two different temperatures $T_{1}$ and $T_{2}$ ( $T_{1} < T_{2}$ ). The correct graphical depiction of the dependence of work done (w) on the final volume (V) is:

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Solution

The correct option is B

For isothermal expansion,
$w = - n R T l n \frac{V_{2}}{V_{1}}$
$| w | = n R T l n \frac{V_{2}}{V_{1}}$

$| w | = n R T l n V_{2} - n R T l n V_{1}$
y=mx-c
So,the slope of curve 2 is more than the slope of curve 1 and the intercept of curve 2 is more negative than the intercept of curve 1

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Consider the reversible isothermal expansion of an ideal gas in a closed system at two different temperatures T1and T2 (T1<T2). The correct graphical depiction of the dependence of work done (w) on the final volume (V) is:

The correct option is B For isothermal expansion, w=−nRTlnV2V1 |w|=nRTlnV2V1 |w|=nRTlnV2−nRTlnV1 y=mx-c So,the slope of curve 2 is more than the slope of curve 1 and the intercept of curve 2 is more negative than the intercept of curve 1

Consider the reversible isothermal expansion of an ideal gas in a closed system at two different temperatures $T_{1}$ and $T_{2}$ ( $T_{1} < T_{2}$ ). The correct graphical depiction of the dependence of work done (w) on the final volume (V) is: