29. Ten cubic feet of air are cooled at a constant pressure of 80 psia. The initial temperature

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29. Ten cubic feet of air are cooled at a constant pressure of \( 80 \mathrm{psia} \). The initial temperature was \( 180{ }^{\circ} \mathrm{F} \) and the final temperature after cooling is \( 100^{\circ} \mathrm{F} \). Calculate the external work done in foot pounds. A. \( -14,425.8 \mathrm{ft}-\mathrm{lb} \) C. \( +12,455.8 \mathrm{ft}-1 \mathrm{~b} \) B. \( +14,425.8 \mathrm{ft}-\mathrm{lb} \) D. \( -12,455.8 \mathrm{ft}-\mathrm{lb} \) 30. Calculate the mass rate of flow of air through a pipeline with an inside diameter of 3.5 in. if the average velocity of air at \( 80^{\circ} \mathrm{F} \) and 20 psia is \( 110 \mathrm{ft} / \mathrm{min} \). A. \( 0.833 \mathrm{lbm} / \mathrm{min} \). C. \( 0.893 \mathrm{lbm} / \mathrm{min} \). B. \( 0.733 \mathrm{lbm} / \mathrm{min} \). D. \( 0.612 \mathrm{lbm} / \mathrm{min} \). 31. A cylinder piston arrangement as shown in the figure is made of a non-heat conducting material. The cylinder has a volume of \( 3 \mathrm{ft}^{\wedge} 3 \) and is connected to a steam source at \( 100 \mathrm{psia} \) and \( 500{ }^{\circ} \mathrm{F} \). The piston is held in position by air at 20 psia and a cooling coil is placed in the cylinder to maintain a constant air temperature of \( 100^{\circ} \mathrm{F} \). Determine the work done if the valve is opened until the pressure in the cylinder falls to 100 psia. A. 17.8 BTU C. 20.9 BTU B. \( 18.8 \mathrm{BTU} \) D. 19.2 BTU 32. Determine the mass of air when the pressure is \( 20 \mathrm{psi} \), and the temperature is \( 80^{\circ} \mathrm{F} \) in a closed chamber with dimensions of \( 30 \mathrm{ft} \times 20 \mathrm{ft} \) \( x 15 \mathrm{ft} \). Assume air to be an ideal gas. A. \( 1,000 \mathrm{lb} \) C. \( 900 \mathrm{lb} \) B. \( 700 \mathrm{lb} \) D. \( 800 \mathrm{lb} \) \( 33.0 .3 \mathrm{~kg} \) of nitrogen gas at \( 100 \mathrm{kPa} \) and \( 40^{\circ} \mathrm{C} \) is contained in a cylinder. The piston is moved compressing nitrogen until the pressure becomes \( 1 \mathrm{MPa} \) and temperature becomes \( 160^{\circ} \mathrm{C} \). The work done during the process is \( 30 \mathrm{~kJ} \). Calculate the heat transferred from the nitrogen to the surroundings. Cv for Nitrogen is \( 0.75 \mathrm{~kJ} / \mathrm{kg} \) - K. A. \( +3 \mathrm{~kJ} \) C. \( +5 \mathrm{~kJ} \) B. \( -3 \mathrm{~kJ} \) D. \( \pm 5 \mathrm{~kJ} \) 34. A tank containing air is stirred by a paddle wheel. The work input to the paddle wheel is \( 9,000 \mathrm{~kJ} \) and the heat transferred to the surroundings from the tank is \( 3,000 \mathrm{~kJ} \). Determine the work done. A. \( 0 \mathrm{~kJ} \) C. \( 6,000 \mathrm{~kJ} \) B. \( 12,000 \mathrm{~kJ} \) D. \( 1,000 \mathrm{~kJ} \) 35. Air at 1.02 bar, \( 22^{\circ} \mathrm{C} \), initially occupying a cylinder volume of \( 0.015 \mathrm{~m}^{\wedge} 3 \), is compressed reversibly and adiabatically by a piston to a pressure of 6.8 bar. Calculate Final temperature and volume. A. \( 234.24^{\circ} \mathrm{C}, 0.00837 \mathrm{~m}^{\wedge} 3 \) B. \( 234.24^{\circ} \mathrm{C}, 0.00387 \mathrm{~m}^{\wedge} 3 \) C. \( 441.61^{\circ} \mathrm{C}, 0.00837 \mathrm{~m}^{\wedge} 3 \) D. \( 441.61^{\circ} \mathrm{C}, 0.00387 \mathrm{~m}^{\wedge} 3 \) 36. A steel flask of \( 0.04 \mathrm{~m}^{\wedge} 3 \) capacity is to be used to store nitrogen at \( 120 \mathrm{bar}, 20^{\circ} \mathrm{C} \). The flask is to be protected against excessive pressure by a fusible plug which will melt and allow the gas to escape if the temperature rises too high. How many \( \mathrm{kg} \) of nitrogen will the flask hold at the designed conditions? A. \( 4.51 \mathrm{~kg} \) C. \( 6 \mathrm{~kg} \) B. \( 5.51 \mathrm{~kg} \) D. \( 6.65 \mathrm{~kg} \) 37. A vessel of capacity \( 3 \mathrm{~m}^{\wedge} 3 \) contains \( 1 \mathrm{~kg} \) mole of \( N_{2} \) at \( 90^{\circ} \mathrm{C} \), calculate \( \mathrm{Cp} \) and \( \mathrm{Cv} \) if \( \mathrm{k}=1.4 \) A. \( \mathrm{Cp}=1.039 \mathrm{~kJ} / \mathrm{kg}-\mathrm{K}, \mathrm{Cv}=0.742 \mathrm{~kJ} / \mathrm{kg}-\mathrm{K} \) B. \( \mathrm{Cp}=1.390 \mathrm{~kJ} / \mathrm{kg}-\mathrm{K}, \mathrm{Cv}=0.742 \mathrm{~kJ} / \mathrm{kg}-\mathrm{K} \) C. \( \mathrm{Cp}=1.039 \mathrm{~kJ} / \mathrm{kg}-\mathrm{K}, \mathrm{Cv}=0.724 \mathrm{~kJ} / \mathrm{kg}-\mathrm{K} \) D. \( \mathrm{Cp}=1.390 \mathrm{~kJ} / \mathrm{kg}-\mathrm{K}, \mathrm{Cv}=0.724 \mathrm{~kJ} / \mathrm{kg}-\mathrm{K} \) 38. A vessel of \( 0.03 \mathrm{~m}^{\wedge} 3 \) capacity contains gas at 3.5 bar pressure and \( 35^{\circ} \mathrm{C} \) temperature. If the pressure of this gas is increased to 10.5 bar while the volume remains constant what will be the temperature of the gas? A. \( 924^{\circ} \mathrm{C} \) C. \( 464^{\circ} \mathrm{C} \) B. \( 651^{\circ} \mathrm{C} \) D. \( 720^{\circ} \mathrm{C} \) 39. A vessel contains at 1 bar and \( 20^{\circ} \mathrm{C} \) a mixture of 1 mole of \( \mathrm{CO}_{2} \) and 4 moles of air. Calculate the mixture total mass. The volumetric analysis of air can be taken as \( 21 \% \) Oxygen and \( 79 \% \) Nitrogen A. \( 170 \mathrm{~kg} \) C. \( 159.36 \mathrm{~kg} \) B. \( 163.73 \mathrm{~kg} \) D. \( 150 \mathrm{~kg} \)

          29. Ten cubic feet of air are cooled at a constant pressure of \( 80 \mathrm{psia} \). The initial temperature was \( 180{ }^{\circ} \mathrm{F} \) and the final temperature after cooling is \( 100^{\circ} \mathrm{F} \). Calculate the external work done in foot pounds.
A. \( -14,425.8 \mathrm{ft}-\mathrm{lb} \)
C. \( +12,455.8 \mathrm{ft}-1 \mathrm{~b} \)
B. \( +14,425.8 \mathrm{ft}-\mathrm{lb} \)
D. \( -12,455.8 \mathrm{ft}-\mathrm{lb} \)
30. Calculate the mass rate of flow of air through a pipeline with an inside diameter of 3.5 in. if the average velocity of air at \( 80^{\circ} \mathrm{F} \) and 20 psia is \( 110 \mathrm{ft} / \mathrm{min} \).
A. \( 0.833 \mathrm{lbm} / \mathrm{min} \).
C. \( 0.893 \mathrm{lbm} / \mathrm{min} \).
B. \( 0.733 \mathrm{lbm} / \mathrm{min} \).
D. \( 0.612 \mathrm{lbm} / \mathrm{min} \).
31. A cylinder piston arrangement as shown in the figure is made of a non-heat conducting material. The cylinder has a volume of \( 3 \mathrm{ft}^{\wedge} 3 \) and is connected to a steam source at \( 100 \mathrm{psia} \) and \( 500{ }^{\circ} \mathrm{F} \). The piston is held in position by air at 20 psia and a cooling coil is placed in the cylinder to maintain a constant air temperature of \( 100^{\circ} \mathrm{F} \). Determine the work done if the valve is opened until the pressure in the cylinder falls to 100 psia.
A. 17.8 BTU
C. 20.9 BTU
B. \( 18.8 \mathrm{BTU} \)
D. 19.2 BTU
32. Determine the mass of air when the pressure is \( 20 \mathrm{psi} \), and the temperature is \( 80^{\circ} \mathrm{F} \) in a closed chamber with dimensions of \( 30 \mathrm{ft} \times 20 \mathrm{ft} \) \( x 15 \mathrm{ft} \). Assume air to be an ideal gas.
A. \( 1,000 \mathrm{lb} \)
C. \( 900 \mathrm{lb} \)
B. \( 700 \mathrm{lb} \)
D. \( 800 \mathrm{lb} \)
\( 33.0 .3 \mathrm{~kg} \) of nitrogen gas at \( 100 \mathrm{kPa} \) and \( 40^{\circ} \mathrm{C} \) is contained in a cylinder. The piston is moved compressing nitrogen until the pressure becomes \( 1 \mathrm{MPa} \) and temperature becomes \( 160^{\circ} \mathrm{C} \). The work done during the process is \( 30 \mathrm{~kJ} \). Calculate the heat transferred from the nitrogen to the surroundings. Cv for Nitrogen is \( 0.75 \mathrm{~kJ} / \mathrm{kg} \) - K.
A. \( +3 \mathrm{~kJ} \)
C. \( +5 \mathrm{~kJ} \)
B. \( -3 \mathrm{~kJ} \)
D. \( \pm 5 \mathrm{~kJ} \)
34. A tank containing air is stirred by a paddle wheel. The work input to the paddle wheel is \( 9,000 \mathrm{~kJ} \) and the heat transferred to the surroundings from the tank is \( 3,000 \mathrm{~kJ} \). Determine the work done.
A. \( 0 \mathrm{~kJ} \)
C. \( 6,000 \mathrm{~kJ} \)
B. \( 12,000 \mathrm{~kJ} \)
D. \( 1,000 \mathrm{~kJ} \)
35. Air at 1.02 bar, \( 22^{\circ} \mathrm{C} \), initially occupying a cylinder volume of \( 0.015 \mathrm{~m}^{\wedge} 3 \), is compressed reversibly and adiabatically by a piston to a pressure of 6.8 bar. Calculate Final temperature and volume.
A. \( 234.24^{\circ} \mathrm{C}, 0.00837 \mathrm{~m}^{\wedge} 3 \)
B. \( 234.24^{\circ} \mathrm{C}, 0.00387 \mathrm{~m}^{\wedge} 3 \)
C. \( 441.61^{\circ} \mathrm{C}, 0.00837 \mathrm{~m}^{\wedge} 3 \)
D. \( 441.61^{\circ} \mathrm{C}, 0.00387 \mathrm{~m}^{\wedge} 3 \)
36. A steel flask of \( 0.04 \mathrm{~m}^{\wedge} 3 \) capacity is to be used to store nitrogen at \( 120 \mathrm{bar}, 20^{\circ} \mathrm{C} \). The flask is to be protected against excessive pressure by a fusible plug which will melt and allow the gas to escape if the temperature rises too high. How many \( \mathrm{kg} \) of nitrogen will the flask hold at the designed conditions?
A. \( 4.51 \mathrm{~kg} \)
C. \( 6 \mathrm{~kg} \)
B. \( 5.51 \mathrm{~kg} \)
D. \( 6.65 \mathrm{~kg} \)
37. A vessel of capacity \( 3 \mathrm{~m}^{\wedge} 3 \) contains \( 1 \mathrm{~kg} \) mole of \( N_{2} \) at \( 90^{\circ} \mathrm{C} \), calculate \( \mathrm{Cp} \) and \( \mathrm{Cv} \) if \( \mathrm{k}=1.4 \)
A. \( \mathrm{Cp}=1.039 \mathrm{~kJ} / \mathrm{kg}-\mathrm{K}, \mathrm{Cv}=0.742 \mathrm{~kJ} / \mathrm{kg}-\mathrm{K} \)
B. \( \mathrm{Cp}=1.390 \mathrm{~kJ} / \mathrm{kg}-\mathrm{K}, \mathrm{Cv}=0.742 \mathrm{~kJ} / \mathrm{kg}-\mathrm{K} \)
C. \( \mathrm{Cp}=1.039 \mathrm{~kJ} / \mathrm{kg}-\mathrm{K}, \mathrm{Cv}=0.724 \mathrm{~kJ} / \mathrm{kg}-\mathrm{K} \)
D. \( \mathrm{Cp}=1.390 \mathrm{~kJ} / \mathrm{kg}-\mathrm{K}, \mathrm{Cv}=0.724 \mathrm{~kJ} / \mathrm{kg}-\mathrm{K} \)
38. A vessel of \( 0.03 \mathrm{~m}^{\wedge} 3 \) capacity contains gas at 3.5 bar pressure and \( 35^{\circ} \mathrm{C} \) temperature. If the pressure of this gas is increased to 10.5 bar while the volume remains constant what will be the temperature of the gas?
A. \( 924^{\circ} \mathrm{C} \)
C. \( 464^{\circ} \mathrm{C} \)
B. \( 651^{\circ} \mathrm{C} \)
D. \( 720^{\circ} \mathrm{C} \)
39. A vessel contains at 1 bar and \( 20^{\circ} \mathrm{C} \) a mixture of 1 mole of \( \mathrm{CO}_{2} \) and 4 moles of air. Calculate the mixture total mass. The volumetric analysis of air can be taken as \( 21 \% \) Oxygen and \( 79 \% \) Nitrogen
A. \( 170 \mathrm{~kg} \)
C. \( 159.36 \mathrm{~kg} \)
B. \( 163.73 \mathrm{~kg} \)
D. \( 150 \mathrm{~kg} \)

29. Ten cubic feet of air are cooled at a constant pressure of 80 psia. The initial temperature was 180^∘F and the final temperature after cooling is 100^∘F. Calculate the external work done in foot pounds.
A. -14,425.8 ft-lb
C. +12,455.8 ft-1 b
B. +14,425.8 ft-lb
D. -12,455.8 ft-lb
30. Calculate the mass rate of flow of air through a pipeline with an inside diameter of 3.5 in. if the average velocity of air at 80^∘F and 20 psia is 110 ft / min.
A. 0.833 lbm / min.
C. 0.893 lbm / min.
B. 0.733 lbm / min.
D. 0.612 lbm / min.
31. A cylinder piston arrangement as shown in the figure is made of a non-heat conducting material. The cylinder has a volume of 3 ft^∧ 3 and is connected to a steam source at 100 psia and 500^∘F. The piston is held in position by air at 20 psia and a cooling coil is placed in the cylinder to maintain a constant air temperature of 100^∘F. Determine the work done if the valve is opened until the pressure in the cylinder falls to 100 psia.
A. 17.8 BTU
C. 20.9 BTU
B. 18.8 BTU
D. 19.2 BTU
32. Determine the mass of air when the pressure is 20 psi, and the temperature is 80^∘F in a closed chamber with dimensions of 30 ft× 20 ft x 15 ft. Assume air to be an ideal gas.
A. 1,000 lb
C. 900 lb
B. 700 lb
D. 800 lb
33.0 .3 kg of nitrogen gas at 100 kPa and 40^∘C is contained in a cylinder. The piston is moved compressing nitrogen until the pressure becomes 1 MPa and temperature becomes 160^∘C. The work done during the process is 30 kJ. Calculate the heat transferred from the nitrogen to the surroundings. Cv for Nitrogen is 0.75 kJ / kg - K.
A. +3 kJ
C. +5 kJ
B. -3 kJ
D. ± 5 kJ
34. A tank containing air is stirred by a paddle wheel. The work input to the paddle wheel is 9,000 kJ and the heat transferred to the surroundings from the tank is 3,000 kJ. Determine the work done.
A. 0 kJ
C. 6,000 kJ
B. 12,000 kJ
D. 1,000 kJ
35. Air at 1.02 bar, 22^∘C, initially occupying a cylinder volume of 0.015 m^∧ 3, is compressed reversibly and adiabatically by a piston to a pressure of 6.8 bar. Calculate Final temperature and volume.
A. 234.24^∘C, 0.00837 m^∧ 3
B. 234.24^∘C, 0.00387 m^∧ 3
C. 441.61^∘C, 0.00837 m^∧ 3
D. 441.61^∘C, 0.00387 m^∧ 3
36. A steel flask of 0.04 m^∧ 3 capacity is to be used to store nitrogen at 120 bar, 20^∘C. The flask is to be protected against excessive pressure by a fusible plug which will melt and allow the gas to escape if the temperature rises too high. How many kg of nitrogen will the flask hold at the designed conditions?
A. 4.51 kg
C. 6 kg
B. 5.51 kg
D. 6.65 kg
37. A vessel of capacity 3 m^∧ 3 contains 1 kg mole of N2 at 90^∘C, calculate Cp and Cv if k=1.4
A. Cp=1.039 kJ / kg-K, Cv=0.742 kJ / kg-K
B. Cp=1.390 kJ / kg-K, Cv=0.742 kJ / kg-K
C. Cp=1.039 kJ / kg-K, Cv=0.724 kJ / kg-K
D. Cp=1.390 kJ / kg-K, Cv=0.724 kJ / kg-K
38. A vessel of 0.03 m^∧ 3 capacity contains gas at 3.5 bar pressure and 35^∘C temperature. If the pressure of this gas is increased to 10.5 bar while the volume remains constant what will be the temperature of the gas?
A. 924^∘C
C. 464^∘C
B. 651^∘C
D. 720^∘C
39. A vessel contains at 1 bar and 20^∘C a mixture of 1 mole of CO2 and 4 moles of air. Calculate the mixture total mass. The volumetric analysis of air can be taken as 21 % Oxygen and 79 % Nitrogen
A. 170 kg
C. 159.36 kg
B. 163.73 kg
D. 150 kg

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