THERMODYNAMICS (LL)-W/ACCESS >CUSTOM<
THERMODYNAMICS (LL)-W/ACCESS >CUSTOM<
9th Edition
ISBN: 9781266657610
Author: CENGEL
Publisher: MCG CUSTOM
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Chapter 3.8, Problem 92P

(a)

To determine

The final temperature using the ideal gas equation.

(a)

Expert Solution
Check Mark

Answer to Problem 92P

The final temperature using the ideal gas equation is 1720R_.

Explanation of Solution

Determine the final temperature using the ideal gas equation.

T2=(T1)×(v2v1) (I)

Here, the initial specific volume is v1, the final specific volume is v2, and the initial temperature is T1.

Conclusion:

Refer to Table A-1E to find the gas constant, the critical temperature, and the critical pressure of water as 0.5956psiaft3/lbmR, 1164.8R, and 3200psia.

Substitute 400°F for T1, 2v1 for v1 in Equation (I).

T2=(400°F)×(2v1v1)=(400+460R)(2)=1720R

Thus, the final temperature using the ideal gas equation is 1720R_.

(b)

To determine

The final temperature using the compressibility chart.

(b)

Expert Solution
Check Mark

Answer to Problem 92P

The final temperature using the compressibility chart is 1571R_.

Explanation of Solution

Determine the reduced pressure at final state.

PR2=P2Pcr (II)

Here, the critical pressure is Pcr.

Determine the reduced specific volume at the final state.

vR2=v2RTcr/Pcr (III)

Here, the final state specific volume is v2.

Determine the final temperature using the compressibility chart.

T2=P2v2Z2R (IV)

Conclusion:

Refer Table A-4E to obtain the value of initial pressure and specific volume at the 400°F temperature as 247.26psia and 1.8639ft3/lbm.

Substitute 247.26psia for P2 and 3200psia for Pcr in Equation (II).

PR2=(247.26psia)(3200psia)=0.0773

Substitute 2v1 for v2, 1.8639ft3/lbm for v1, 0.5956psiaft3/lbmR for R, 1164.8R for Tcr, and 3200psia for Pcr in Equation (V).

vR2=2v1(0.5956psiaft3/lbmR)(1164.8R)/(3200psia)=2×(1.8639ft3/lbm)(0.216798ft3/lbmR)=(3.7278ft3/lbm)(0.216798ft3/lbmR)=17.19

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 247.26psia for P2, 0.985 for Z2, 0.5956psiaft3/lbmR for R, 2v1 for v2, and 1.8639ft3/lbm for v1 in Equation (VI).

T2=(247.26psia)(2v1)(0.985)(0.5956psiaft3/lbmR)=(247.26psia)(2×(1.8639ft3/lbm))(0.985)(0.5956psiaft3/lbmR)=921.7358psiaft3/lbm0.58666psiaft3/lbmR=1571R

Thus, the final temperature using the compressibility chart is 1571R_.

(c)

To determine

The final temperature using the superheated steam table.

(c)

Expert Solution
Check Mark

Answer to Problem 92P

The final temperature using the superheated steam table is 1578R_.

Explanation of Solution

Refer to Table A-6E, “Superheated water”, obtain the below properties at the final specific volume 3.7278ft3/lbm using interpolation method of two variables.

Write the formula of interpolation method of two variables.

y2=(x2x1)(y3y1)(x3x1)+y1 (VII)

Here, the variables denote by x and y are temperature and final specific volume.

Show the temperature at 1000°F and 1200°F as in Table (1).

S. No

final specific volume ft3/lbm

(x)

Temperature,  F

(y)

13.44031000
23.7278y2=?
33.92951200

Calculate final temperature at final specific volume 3.7278ft3/lbm for liquid phase using interpolation method.

Substitute 3.4403 for x1, 3.7278 for x2, 3.9295 for x3, 1000°F for y1, and 1200°F for y3 in Equation (VII).

y2=(3.7278ft3/lbm3.4403ft3/lbm)(1200°F1000°F)(3.9295ft3/lbm3.4403ft3/lbm)+1000°F=1117.5°F1118°F

From above calculation the final temperature of 1118°F at specific volume is 3.7278ft3/lbm.

Unit conversion of temperature from °F to R.

T2=1118°F=1118+460R=1578R

Thus, the final temperature using the superheated steam table is 1578R_.

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Chapter 3 Solutions

THERMODYNAMICS (LL)-W/ACCESS >CUSTOM<

Ch. 3.8 - Does the amount of heat absorbed as 1 kg of...Ch. 3.8 - Does the reference point selected for the...Ch. 3.8 - What is the physical significance of hfg? Can it...Ch. 3.8 - Does hfg change with pressure? How?Ch. 3.8 - Is it true that it takes more energy to vaporize 1...Ch. 3.8 - Which process requires more energy: completely...Ch. 3.8 - In what kind of pot will a given volume of water...Ch. 3.8 - It is well known that warm air in a cooler...Ch. 3.8 - In the absence of compressed liquid tables, how is...Ch. 3.8 - A perfectly fitting pot and its lid often stick...Ch. 3.8 - Complete this table for H2O:Ch. 3.8 - Complete this table for H2O:Ch. 3.8 - Complete this table for H2O:Ch. 3.8 - Complete this table for H2O:Ch. 3.8 - Complete this table for refrigerant-134a:Ch. 3.8 - Complete this table for refrigerant-134a:Ch. 3.8 - A 1.8-m3 rigid tank contains steam at 220C....Ch. 3.8 - One pound-mass of water fills a container whose...Ch. 3.8 - A pistoncylinder device contains 0.85 kg of...Ch. 3.8 - 10 kg of R-134a fill a 1.115-m3 rigid container at...Ch. 3.8 - What is the specific internal energy of water at...Ch. 3.8 - What is the specific volume of water at 5 MPa and...Ch. 3.8 - What is the specific volume of R-134a at 20C and...Ch. 3.8 - Refrigerant-134a at 200 kPa and 25C flows through...Ch. 3.8 - One kilogram of R-134a fills a 0.14-m3 weighted...Ch. 3.8 - One kilogram of water vapor at 200 kPa fills the...Ch. 3.8 - The temperature in a pressure cooker during...Ch. 3.8 - How much error would one expect in determining the...Ch. 3.8 - Water is to be boiled at sea level in a...Ch. 3.8 - Repeat Prob. 340 for a location at an elevation of...Ch. 3.8 - 10 kg of R-134a at 300 kPa fills a rigid container...Ch. 3.8 - 100 kg of R-134a at 200 kPa are contained in a...Ch. 3.8 - Water initially at 200 kPa and 300C is contained...Ch. 3.8 - Saturated steam coming off the turbine of a steam...Ch. 3.8 - A person cooks a meal in a 30-cm-diameter pot that...Ch. 3.8 - Water is boiled at 1 atm pressure in a...Ch. 3.8 - Repeat Prob. 347 for a location at 2000-m...Ch. 3.8 - Prob. 49PCh. 3.8 - A rigid tank with a volume of 1.8 m3 contains 40...Ch. 3.8 - A pistoncylinder device contains 0.005 m3 of...Ch. 3.8 - A 5-ft3 rigid tank contains a saturated mixture of...Ch. 3.8 - Superheated water vapor at 180 psia and 500F is...Ch. 3.8 - One kilogram of water fills a 150-L rigid...Ch. 3.8 - 10 kg of R-134a fill a 0.7-m3 weighted...Ch. 3.8 - A pistoncylinder device contains 0.6 kg of steam...Ch. 3.8 - A pistoncylinder device initially contains 1.4 kg...Ch. 3.8 - Water is being heated in a vertical pistoncylinder...Ch. 3.8 - A rigid tank initially contains 1.4 kg saturated...Ch. 3.8 - A pistoncylinder device initially contains 50 L of...Ch. 3.8 - The spring-loaded pistoncylinder device shown in...Ch. 3.8 - A pistoncylinder device initially contains steam...Ch. 3.8 - Under what conditions is the ideal-gas assumption...Ch. 3.8 - What is the difference between mass and molar...Ch. 3.8 - Propane and methane are commonly used for heating...Ch. 3.8 - What is the specific volume of oxygen at 25 psia...Ch. 3.8 - A 100-L container is filled with 1 kg of air at a...Ch. 3.8 - A mass of 1 lbm of argon is maintained at 200 psia...Ch. 3.8 - A 400-L rigid tank contains 5 kg of air at 25C....Ch. 3.8 - The pressure gage on a 2.5-m3 oxygen tank reads...Ch. 3.8 - A spherical balloon with a diameter of 9 m is...Ch. 3.8 - Reconsider Prob. 373. Using appropriate software,...Ch. 3.8 - A 1-m3 tank containing air at 10C and 350 kPa is...Ch. 3.8 - A mass of 10 g of oxygen fill a weighted...Ch. 3.8 - A mass of 0.1 kg of helium fills a 0.2 m3 rigid...Ch. 3.8 - A rigid tank whose volume is unknown is divided...Ch. 3.8 - A rigid tank contains 20 lbm of air at 20 psia and...Ch. 3.8 - In an informative article in a magazine it is...Ch. 3.8 - What is the physical significance of the...Ch. 3.8 - Determine the specific volume of refrigerant-134a...Ch. 3.8 - Refrigerant-134a at 400 psia has a specific volume...Ch. 3.8 - Determine the specific volume of superheated water...Ch. 3.8 - Determine the specific volume of superheated water...Ch. 3.8 - Determine the specific volume of nitrogen gas at...Ch. 3.8 - Prob. 88PCh. 3.8 - Carbon dioxide gas enters a pipe at 3 MPa and 500...Ch. 3.8 - Prob. 90PCh. 3.8 - A 0.016773-m3 tank contains 1 kg of...Ch. 3.8 - Prob. 92PCh. 3.8 - What is the percentage of error involved in...Ch. 3.8 - What is the physical significance of the two...Ch. 3.8 - Refrigerant-134a at 400 psia has a specific volume...Ch. 3.8 - A 3.27-m3 tank contains 100 kg of nitrogen at 175...Ch. 3.8 - Nitrogen at 150 K has a specific volume of...Ch. 3.8 - A 1-m3 tank contains 2.841 kg of steam at 0.6 MPa....Ch. 3.8 - Prob. 103PCh. 3.8 - Prob. 104PCh. 3.8 - On a certain day, the temperature and relative...Ch. 3.8 - Prob. 106PCh. 3.8 - Consider two rooms that are identical except that...Ch. 3.8 - A thermos bottle is half-filled with water and is...Ch. 3.8 - Complete the blank cells in the following table of...Ch. 3.8 - Complete the blank cells in the following table of...Ch. 3.8 - Prob. 111RPCh. 3.8 - Prob. 112RPCh. 3.8 - The gage pressure of an automobile tire is...Ch. 3.8 - A tank contains argon at 600C and 200 kPa gage....Ch. 3.8 - The combustion in a gasoline engine may be...Ch. 3.8 - Prob. 116RPCh. 3.8 - Prob. 117RPCh. 3.8 - A rigid tank with a volume of 0.117 m3 contains 1...Ch. 3.8 - A 9-m3 tank contains nitrogen at 17C and 600 kPa....Ch. 3.8 - A 10-kg mass of superheated refrigerant-134a at...Ch. 3.8 - A 4-L rigid tank contains 2 kg of saturated...Ch. 3.8 - Prob. 123RPCh. 3.8 - A tank whose volume is unknown is divided into two...Ch. 3.8 - Prob. 125RPCh. 3.8 - A tank contains helium at 37C and 140 kPa gage....Ch. 3.8 - Prob. 127RPCh. 3.8 - On the property diagrams indicated below, sketch...Ch. 3.8 - Ethane at 10 MPa and 100C is heated at constant...Ch. 3.8 - Steam at 400C has a specific volume of 0.02 m3/kg....Ch. 3.8 - Consider an 18-m-diameter hot-air balloon that,...Ch. 3.8 - Prob. 135FEPCh. 3.8 - A 3-m3 rigid vessel contains steam at 2 MPa and...Ch. 3.8 - Prob. 137FEPCh. 3.8 - Water is boiled at 1 atm pressure in a coffeemaker...Ch. 3.8 - Prob. 139FEPCh. 3.8 - Water is boiled in a pan on a stove at sea level....Ch. 3.8 - A rigid tank contains 2 kg of an ideal gas at 4...Ch. 3.8 - The pressure of an automobile tire is measured to...Ch. 3.8 - Consider a sealed can that is filled with...
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