Using the Maxwell relations, determine a relation for equation of state is (P-a/v²) (v−b) = RT. Os for a gas whose av T

WA 4. a Th To Room temperature T = 293 K %3D V The gas volume changes from Vp to Va at constant temperature T. The cartoon on the right shows a piston of gas undergoing this compression while submerged in a container of room temperature water, which acts as a reservoir. The initial state of this process is a piston containing 2 moles of a monatomic gas at T, = 293 K (room temperature water) and volume V = 1.0 m. The gas is compressed until V, = 0.2 m. During the compression, the heat bath of room temperature water maintains the temperature of the gas at T = 293 K. Calculate the change in internal energy of the gas in joules during this process. Do not include units in your answer. Be careful to use the standard sign conventions for heat and work. Write your numerical answer in normal form as described above in the instructions to this worksheet. Click Save and Submit to save and submit. Click Save All Answers to save all answers. 28 F a

A PV diagram below, Figure 1, shows two possible states of a system containing three moles of a monatomic ideal gas. (P,= P2 = 450 Pa, V, = 2m', V,= 8m²) c. Draw the process which depicts an isothermal expansion from state 1 to the volume V, followed by an isochoric increase in temperature to state 2 and label this process (B). d. Find the change in internal energy of the gas for the two-step process (B) Figure 1 (N/m²) 500 ! 400+ 300+ 200+ 100 - + + + + 4 6. 8 10 V (m³) 2 Copyright © 2005 Pearson Prentice Hall, Inc.

Derive an expression for the specific heat difference of a substance whose equation of state is:   P=[(RT)/(v-b)]-[a/(v*(v+b)*T1/2)]   Where a and b are empirical constants

c. What is the internal energy, u, in kJ/kg of refrigerant R22 at temperature T=-10°C. and specific volume v=0.055 m³/kg? Draw a p-v and T-o diagram and locate the state. What is the phase of the state?

1) Given a vessel with V = 0.4 m3 filled with m = 2 of H2O at P = 600 kPa, find • the volume and mass of liquid, and • the volume and mass of vapor.

Answer for J and K

For a gas whose equation of state is P(v-b)=RT, the specified heat difference Cp-Cv is equal to which of the following (show all work): (a) R (b) R-b (c) R+b (d) 0 (e) R(1+v/b)

One mole of a monatomic ideal gas undergoes a cycle that has four steps. At point 1 it starts at a pressure of 3 × 105 Pa and a volume of 20 × 10-3 m3 It undergoes an isothermal expansion to point 2 to a new volume at of 8.0 × 10-3 m?. It then undergoes an isochoric process to point 3 until its pressure is half as much of what it was at point 2. It then goes through an isothermal compression to point 4 to a volume of 20 mL. It returns to point 1 via an isochoric step. What is the temperature of the gas at point 1? How much work is done by the gas in step 1 to 2? What is the pressure of the gas at point 2? What is the total work done by the gas in the entire cycle? A monatomic ideal gas (y = 5/3) is contained within a perfectly insulated cylinder that
is fitted with a movable piston. The initial pressure of the gas is 1.5 x 105 Pa. The piston is pushed so as to compress the gas, with the result that the Kelvin temperature doubles. What is the final pressure of the gas? a. 4.91 ×…

3. Verify the validity of the last Maxwell relation (Eq. (2) for refrigerant-134a at 80 C and 1.2 MPa: this point is at a superheated state. Use the range of 60°C s T s 100°C and 1.0MPA s Ps 1.4MPA. Eq. (2) ƏT