Consider the processes shown below for a monatomic ideal gas. p (atm) . 5- B 2- A D 3 7 V(L) a. Find the work done in each of the processes AB, BC, AD, and DC. Hint for (a) WAB WBC 2000 WAD 800 Wpc b. Find the change in the internal energy in processes AB and BC. Hint for (b) ΔΕΑΒ 1350 AEBC =| 5000 c. Find the total heat added in ABC and ADC processes. Hint for (c) QABC 8350 QADC 7150

2. Given a closed container of volume 1 L containing 50 g of helium gas, calculate the following: a. The pressure at T = 6 K, assuming that the gas is an ideal gas. b. The pressure at T of state. = 6 K, assuming that the gas obeys van der Waal's equation c. The pressure at T 6 K, assuming that the gas obeys the virial equation of state truncated after the second term. = d. The state of the fluid at T = 4.2 K. (Hint: 4.2 K is below T. and 50 kg/m³ is greater than p, @ 4.2 K.)

i) Can water vapor at 442°C and 75 bar be modeled at ideal gas?

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Show P - V or T - V diagram and indicate corresponding state.

8. Write different equation of states for ideal gases.

3. Find the internal energy of water at the given states for 6 MPa and determine: T,°C U, KJ/Kg Phase Description saturated vapor State 1 State 2 saturated liquid saturated liquid saturated vapor state 3 + 0.95 state 4 500°C state 5 100°C state 6 T= 460°C a- The internal energy b-and the phase descriptions in the following table for water.

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.

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