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 .

Question

Consider the reversible isothermal expansion of an ideal gas in a closed system at two different temperatures T 1 and T 2 &#160; T 1 &#60; T 2 . The correct graphical depiction of the dependence of work done w on the final volume v .

Quantrex Academy · Accepted Answer

Correct answer: 0

Let the gas is expanded from V 1 to V at T 1 and from V 2 to V at T 2 &#8756; At T 1 W 1 = n R T 1 ln V V 1 = nRT &#8467; nV - &#8467; nV 1 Similarly at T 2 W 2 = n R T 2 l n V - l n V 2 ) &#8756; W 1 = nRT 1 lnV - nRT 1 lnV 1 W 2 = nRT 2 lnV - nRT 2 lnV 2 Slope of W 2 &#62; Slope of W 1 As n R T 2 &#62; n R T 1 &#160; T 2 &#62; T 1 &#8756; The intercept of W 2 is more negative than that of W 1 because V 2 &#62; V 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 .

Correct answer

Step-by-step solution

More from Thermodynamics (C)

Consider the reversible isothermal expansion of an ideal gas in a closed system at two different temperatures T 1 and T 2 &#160; T 1 &#60; T 2 . The correct graphical depiction of the dependence of work done w on the final volume v .

Correct answer

Step-by-step solution

More from Thermodynamics (C)

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 .