ThermodynamicsHard
Question
A gas expands reversibly in a piston cylinder device from V1 to V2, the process being described by PV = a + bV, where P is in Nm–2, V is in m3 and a and b are constants. The work done in the process (w) is
Options
A.$a\log_{e}\left( \frac{V_{1}}{V_{2}} \right) + b\left( V_{2} - V_{1} \right)$
B.$- a\log_{e}\left( \frac{V_{2}}{V_{1}} \right) - b\left( V_{2} - V_{1} \right)$
C.$- a\log_{e}\left( \frac{V_{1}}{V_{2}} \right) - b\left( V_{2} - V_{1} \right)$
D.$a\log_{e}\left( \frac{V_{2}}{V_{1}} \right) + b\left( V_{2} - V_{1} \right)$
Solution
$w = - \int_{V_{1}}^{V_{2}}{P.dv} = - \int_{V_{1}}^{V_{2}}\left( \frac{a}{V} + b \right)dv$
$= - a\ln\frac{V_{2}}{V_{1}} - b\left( V_{2} - V_{1} \right)$
Create a free account to view solution
View Solution FreeMore Thermodynamics Questions
In conversion of lime-stone to lime, CaCO3(s) → CaO(s) + CO2 (g) the vales of ᐃHo and ᐃSo are + 179.1 ...In thermodynamics, a process is called reversible when...The efficiency of the reversible heat engine is ηr and that of irreversible heat engine is ηi. Which of the following re...If the ratio Cp/Cv = $\gamma$, the change in internal energy of the mass of a gas, when volume changes from V to 2V at c...Two blocks of copper metal are of the same size (heat capacity = C) but at different temperatures T1 and T2. These block...