A closed, nonconducting, horizontal cylinder is fitted with a nonconducting, frictionless, floating piston that divides the cylinder into Sections A and B. The two sections contain equal masses of air, initially at the same conditions To = 250 K. Heat transfer occurs in Section A, while adiabatic compression by the slowly moving piston causes Tg in Section B. Air is treated as an ideal gas with Cp = R, and let nA be the number of moles of air in Section A. The values of R are given in the following table:
Values of the Universal Gas Constant
R = 8.314 Jmol-1.K-1 = 8.314 m3.Pamol-1.K-1 = 83.14 cm3.barmol-1.K-1 = 8314 cm3.kPamol-1.K-1 = 82.06 cm3.(atm)-mol-1.K-1 = 62,356 cm3.(torr)-mol-1.K-1 = 1.987 (cal)-mol-1.K-1 = 1.986 (Btu)(lb mole)-1(R)-1 = 1.01 x 10^3 (ft)(lb)lb mol-1R-1
Evaluate P(final), TA, and Q/nA if Tg = 325 K.
The value of TA is [to be determined] K.
The value of P(final) is [to be determined] atm.
The value of Q/nA is [to be determined] J-mol-1.