The molar heat capacity C for an ideal gas going through a given process is given by C = α / T , where α is a constant. If γ = C p / C v , the work done by one mole of gas during heating from T 0

Question

The molar heat capacity C for an ideal gas going through a given process is given by C = α / T , where α is a constant. If γ = C p ​ / C v ​ , the work done by one mole of gas during heating from T 0 ​ to η T 0 ​ through the given process will be

TestHub · Accepted Answer

Q = ∫ T 0 ​ η T 0 ​ ​ C d T = α ln T 0 ​ η T 0 ​ ​ = α ln η . ​ Δ U = C v ​ Δ T = γ − 1 R ​ ( η − 1 ) T 0 ​ . ​ W = Q − Δ U = α ln η − ( γ − 1 η − 1 ​ ) R T 0 ​ . ​

Physics - Heat & Thermo Question with Solution | TestHub

Options:

Doubts & Discussion