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MENG 245 Thermodynamics I Spring 2015‐2016 Assignment #1 Submission Deadline: 25/03/2015 1) The lower half of a 10-m-high cylindrical container is filled with water (ρ=1000 kg/m 3 ) and the upper half with oil that has a specific gravity of 0.85. Determine the pressure difference between the top and bottom of the cylinder. Ans: 90.74 kPa 2) Both a gage and a manometer are attached to a gas tank to measure its pressure. If the reading on the pressure gage is 60 kPa, determine the distance between the two fluid levels of the manometer if the fluid is (a) mercury (ρ =13,600 kg/m 3 ) or (b) water (ρ =1000 kg/m 3 ). Ans: a) 0.525m b) 7.13 m Figure - Question 2 Figure - Question 1 3) The pressure in a pressurized water tank is measured by a multi-fluid manometer. The gage pressure of air in the tank is 56.9 KPa. Determine the height of mercury or h3. The density of water is 1000 Kg/m3, oil 850 Kg/m3, mercury 13600 Kg/m3 while h1 is 20 cm and h2 is 30 cm. Ans: 0.46 m GAS P g =70 kPa
Transcript of kg/m3) and the upper half with oil that has a specific...
MENG 245 Thermodynamics I Spring 2015‐2016 Assignment #1 Submission Deadline: 25/03/2015
1) The lower half of a 10-m-high cylindrical container is filled with water (ρ=1000 kg/m3) and the upper half with oil that has a specific gravity of 0.85. Determine the pressure difference between the top and bottom of the cylinder. Ans: 90.74 kPa
2) Both a gage and a manometer are attached to a gas tank to measure its pressure. If the reading on the pressure gage is 60 kPa, determine the distance between the two fluid levels of the manometer if the fluid is (a) mercury (ρ =13,600 kg/m3) or (b) water (ρ =1000 kg/m3). Ans: a) 0.525m b) 7.13 m
Figure - Question 2 Figure - Question 1
3) The pressure in a pressurized water tank is measured by a multi-fluid manometer. The gage pressure of air in the tank is 56.9 KPa. Determine the height of mercury or h3. The density of water is 1000 Kg/m3, oil 850 Kg/m3, mercury 13600 Kg/m3 while h1 is 20 cm and h2 is 30 cm. Ans: 0.46 m
GAS
Pg=70 kPa
MENG 245 Thermodynamics I Spring 2015‐2016 Assignment #1 Submission Deadline: 25/03/2015
4) A tank contains 2 kg of liquid water and water vapor if the volume of tank is 80 liter and the pressure is 150 kPa. a) Determine the mass and volume of liquid water. b) Determine the mass and volume of water vapor.
5) a) A 60 liter tank contains air at 200 ̊ C and 200 kPa. Determine the mass of air inside the tank. Ans: 0.0884 kg b) If instead of air the tank is filled with Nitrogen at same temperature and same pressure determine the mass of Nitrogen. Ans: 0.0855kg
6) An 80-L vessel contains 4 kg of refrigerant-134a at a pressure of 160 kPa. Determine (a) the temperature, (b) the quality, (c) the enthalpy of the refrigerant, and (d) the volume occupied by the vapor phase. Ans: a) -15.6 ̊C, b) 0.157, c) 64.2 kJ/kg, d) 0.0775 m3
7) Complete this table for Water: (AA is the last two digits of your student number ex: if the student No. is 136547 the quality is 0.47). You should show your calculations as well
T, °C P, kPa h, kJ/kg x Phase description
A 200 0.AA
B 140 1800
C 950 0.0
D 80 500
E 800 3162.2
8) 10 kg of R-134a at 300 kPa fills a rigid container whose volume is 14 L. Determine the temperature and total enthalpy (H) in the container. Ans: 545.2 kJ
