3.23
3.24
d
3.25. Gas at constant T and P is contained in a supply line connected through a valve to
closed tank containing the same gas at a lower pressure. The valve is opened to allow
flow of gas into the tank, and then is shut again.
(a) Develop a general equation relating n1 and n2, the moles (or mass) of gas in the
tank at the beginning and end of the process, to the properties U1 and U2, the
internal energy of the gas in the tank at the beginning and end of the process, and
H', the enthalpy of the gas in the supply line, and to Q, the heat transferred to the
material in the tank during the process.
(b) Reduce the general equation to its simplest form for the special case of an ideal
gas with constant heat capacities.
(c) Further reduce the equation of (b) for the case of n1 = 0.
(d) Further reduce the equation of (c) for the case in which, in addition, Q = 0.
(e) Treating nitrogen as an ideal gas for which Cp
equation to the case in which a steady supply of nitrogen at 25°C and…
The following thermodynamic potential functions H (enthalpy), A (Helmholtz function), G (Gibbs function) and U (internal energy) are connected by a system known as Maxwell's relations. Explain what is meant by Maxwell relations. If you know that dU = – P dV + T dS (P is pressure, V is volume, S is entropy and T is temperature), use the Legendre differential transformation to prove that dA = – P dV – S dT. In your own words, explain the role and importance of functions A and U.
Find J for the normal compression of 2 mol of ideal gas in the piston at a temperature of 311 K, from 1 bar to 10 bar. Gas constant R=8.314 J/(mol K).
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.