Concept explainers
(a)
The final temperature using the ideal gas equation.
(a)
Answer to Problem 92P
The final temperature using the ideal gas equation is
Explanation of Solution
Determine the final temperature using the ideal gas equation.
Here, the initial specific volume is
Conclusion:
Refer to Table A-1E to find the gas constant, the critical temperature, and the critical pressure of water as
Substitute
Thus, the final temperature using the ideal gas equation is
(b)
The final temperature using the compressibility chart.
(b)
Answer to Problem 92P
The final temperature using the compressibility chart is
Explanation of Solution
Determine the reduced pressure at final state.
Here, the critical pressure is
Determine the reduced specific volume at the final state.
Here, the final state specific volume is
Determine the final temperature using the compressibility chart.
Conclusion:
Refer Table A-4E to obtain the value of initial pressure and specific volume at the
Substitute
Substitute
From the Figure A-15, “Nelson-Obert generalized compressibility chart” to obtain the value of compressibility factor at the final state at final reduced pressure and volume of 1.0773 and 17.19 as 0.985.
Substitute
Thus, the final temperature using the compressibility chart is
(c)
The final temperature using the superheated steam table.
(c)
Answer to Problem 92P
The final temperature using the superheated steam table is
Explanation of Solution
Refer to Table A-6E, “Superheated water”, obtain the below properties at the final specific volume
Write the formula of interpolation method of two variables.
Here, the variables denote by x and y are temperature and final specific volume.
Show the temperature at
S. No |
final specific volume |
Temperature, F |
1 | 3.4403 | 1000 |
2 | 3.7278 | |
3 | 3.9295 | 1200 |
Calculate final temperature at final specific volume
Substitute 3.4403 for
From above calculation the final temperature of
Unit conversion of temperature from
Thus, the final temperature using the superheated steam table is
Want to see more full solutions like this?
Chapter 3 Solutions
Thermodynamics: An Engineering Approach
- Determine the volume for water vapor at 200 bar and 470 oc at 10kg, using (a) ideal gas equation (b) data from the compressibility chart. (c) data from the steam tables. Also find the error percent.arrow_forwardSaturated liquid ammonia at 324.4 K is heated isobarically until it reaches a quality of 60%. Determine the specific entropy change of the ammonia using the using the generalized compressibility charts to account for deviations from ideal gas behavior.arrow_forwardMethane at 10 MPa and 30 °C is heated at constant pressure to 110 °C. Using the compressibility chart, determine the change in the Methane's specific volume as a result of this heating.arrow_forward
- Q4: Determine the specific volume of refrigerant-134a vapor at 0.9 MPa and 70°C based on (a) the ideal-gas equation, (b) the generalized compressibility chart, and (c) data from tables. Also, determine the error involved in the first two cases.arrow_forwardThe specific volume of superheated water vapor at 20 MPa and 500°C is 0.014793 m³/kg in the steam tables, determine the specific volume also using: (a) The ideal-gas equation. (b) The generalized compressibility chart. ( (c) Can we consider the superheated vapor to behave as an ideal gas under the given temperature and pressure? Why?arrow_forward(A) What is the value of the compressibility for an ideal gas? (b) does the value vary with p, V, T or n? how do I explain thesearrow_forward
- 1. Water initially at 200 kPa and 300 °C is contained in a piston-cylinder device fitted with stops. The water is allowed to cool at constant pressure until it exists as a saturated vapor and the piston rests on the stops. Then the water continues to cool until the pressure is 100 kPa. On the T-v diagrams sketch, with respect to the saturation lines, draw the process curves passing through both the initial, intermediate, and final states of the water. Label the T, P and v values for end states on the process curves. Find the overall change in internal energy between the initial and final states per unit mass of water Water 200 kPa 300°C Qarrow_forwardFind the specific volume of steam at 90 psia and 650˚F using the ideal gas law. What is the percent error compared with the value in the steam tables. Repeat for 5000 psia and 700˚F, and for 3000 psia and 700˚F. What do you conclude from these comparisons?arrow_forwardBy choosing one of the three options given below, find the approximate temperature of the water in the closed container in the final state and show the state change in T-v, P-v diagrams.arrow_forward
- Q(2): Determine the specific volume of nitrogen gas at 10 MPa and 150 K based on (a) the ideal gas equation and (b) the generalized compressibility chart. Compare these results with the experimental value of 0.002388 m3 /kg, and determine the error involved in each case.arrow_forward4. Determine the specific volume of superheated water vapor at 10 MPa and 500°C, using (a) the ideal-gas equation, (b) the generalized compressibility chart, and (c) the steam tables. Also determine the error involved in the first two casesarrow_forward1 kg of R-134a at an initial pressure of 1.2 MPa is filled in a rigid container with a volume of 24.228 m'. The container is then cooled to 40°C. i. Determine the initial temperature and final pressure of the R-134a. Clearly show all calculations. ii. Show the process on a properly labelled pressure versus specific volume (P-v) diagram with respect to saturation lines.arrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY