Chemistry - Thermodynamics - I Question with Solution | TestHub
A cylinder with thermally insulated walls contains an insulated portion which can slide freely. The partition divides the cylinder into two chambers containing equal moles of the same monoatomic gas (γ = 5/3), the initial pressure, temperature and volume being Po, To and Vo, respectively. By means of a heating coil, heat is supplied slowly to the gas in chamber A until its pressure becomes 32Po. Find the heat supplied to the gas in chamber A.
Options:
Answer:
Solution:
Chamber B is compressed reversibly and adiabatically to 32Po: VB = Vo(1/32)3/5 = Vo/8, so TB = 32 × 1/8To = 4To. Chamber A: VA = 2Vo - Vo/8 = 15/8Vo, so TA = 32 × 15/8To = 60To. With nR = PoVo/To and CV = 1.5R: heat to A = Δ UA + Δ UB = 1.5(PoVo)/(To)[(60-1) + (4-1)]To = 1.5 × 62 PoVo = 93PoVo. Matches (a).
