A rigid tank whose volume is unknown is divided into two parts by a partition. One side of the tank contains an ideal gas at 927'C. The other side is evacuated and has a volume twice the size of the part containing the gas. The partition is now removed and the gas expands to fill the entire tank. Heat is now applied to the gas until the pressure equals the initial pressure. Determine the final temperature of the gas.

Refrigeration and Air Conditioning Technology (MindTap Course List)
8th Edition
ISBN:9781305578296
Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Publisher:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Chapter1: Heat, Temperature, And Pressure
Section: Chapter Questions
Problem 6RQ: One British thermal unit will raise the temperature of _____ 1b of water _____F.
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1. A rigid tank whose volume is unknown is divided into two parts by a
partition. One side of the tank contains an ideal gas at 927 C. The other side
is evacuated and has a volume twice the size of the part containing the gas.
The partition is now removed and the gas expands to fill the entire tank.
Heat is now applied to the gas until the pressure equals the initial pressure.
Determine the final temperature of the gas.
Ans. 3327 "C
Evauted
Fig. 1
2. A tank contains helium at 37 C and 140 kPa gage. The helium is heated in a
process by heat transfer from the surroundings such that the helium reaches
a final equilibrium state at 200°C. Determine the final gage pressure of the
helium. Assume atmospheric pressure is 100 kPa.
3. Air in a spring-loaded piston/cylinder setup has a pressure that is linear with
volume, P= A + BV. With an initial state of P-150 kPa, V =1 L and a final
state of 800 kPa, V =1.5 L. Find the work done by the air.
4. A piston/cylinder contains 2 kg of water at 20 C with a volume of 0.1m'. By
mistake someone locks the piston, preventing it from moving while we heat
the water to saturated vapor. Find the final temperature and volume and the
process work.
5. The piston/cylinder as shown in figure 2 contains 0.1 kg water at 500 C,
1000 kPa. The piston has a stop at half of the original volume. The water
now cools to a room temperature of 25 C. a. Sketch the possible water states
in a P-v diagram. b. Find the final pressure and volume. c. Find the work in
the process.
6. Two kilograms of water is contained in a piston/cylinder as shown in figure
3 with a massless piston loaded with a linear spring and the outside
atmosphere. Initially the spring force is zero and PI = P0=100 kPa with a
volume of 0.2 m'. If the piston just hits the upper stops, the volume is 0.8 m
and T = 600 C. Heat is now added until the pressure reaches 1.2 MPa. Show
the P-V diagram, and find the work and heat transfer for the process.
Po
Fig. 2
Fig. 3
Transcribed Image Text:Problems 1. A rigid tank whose volume is unknown is divided into two parts by a partition. One side of the tank contains an ideal gas at 927 C. The other side is evacuated and has a volume twice the size of the part containing the gas. The partition is now removed and the gas expands to fill the entire tank. Heat is now applied to the gas until the pressure equals the initial pressure. Determine the final temperature of the gas. Ans. 3327 "C Evauted Fig. 1 2. A tank contains helium at 37 C and 140 kPa gage. The helium is heated in a process by heat transfer from the surroundings such that the helium reaches a final equilibrium state at 200°C. Determine the final gage pressure of the helium. Assume atmospheric pressure is 100 kPa. 3. Air in a spring-loaded piston/cylinder setup has a pressure that is linear with volume, P= A + BV. With an initial state of P-150 kPa, V =1 L and a final state of 800 kPa, V =1.5 L. Find the work done by the air. 4. A piston/cylinder contains 2 kg of water at 20 C with a volume of 0.1m'. By mistake someone locks the piston, preventing it from moving while we heat the water to saturated vapor. Find the final temperature and volume and the process work. 5. The piston/cylinder as shown in figure 2 contains 0.1 kg water at 500 C, 1000 kPa. The piston has a stop at half of the original volume. The water now cools to a room temperature of 25 C. a. Sketch the possible water states in a P-v diagram. b. Find the final pressure and volume. c. Find the work in the process. 6. Two kilograms of water is contained in a piston/cylinder as shown in figure 3 with a massless piston loaded with a linear spring and the outside atmosphere. Initially the spring force is zero and PI = P0=100 kPa with a volume of 0.2 m'. If the piston just hits the upper stops, the volume is 0.8 m and T = 600 C. Heat is now added until the pressure reaches 1.2 MPa. Show the P-V diagram, and find the work and heat transfer for the process. Po Fig. 2 Fig. 3
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