A piston-cylinder assembly contains 3.5 kg of air, initially at 2.0 bar, 30 °C. The air undergoes a process to a state where the pressure is 3.0 bar, during which the pressure-volume relationship is pV = constant. Assume ideal gas behavior for the air. Determine the work and heat transfer, in kJ.
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- A closed tank whose bottom is 18 inches in diameter is filled with three liquids: 4 inches of carbon tetracloride (SG=1.59), 2 inches of water and 12 inches of syrup (SG= 1.31). The aire chamber in the tank is pressurized at 1296 psf. A.) Determine the pressure at the interface of carbon tetrachloride and syrup. B.)Determine the difference in pressure between the interface of water and syrup and the interface of carbon tetrachloride and syrup. C.)Compute the hydrostatic pressure (in psf) acting at the bottom of the tank.Consider the thermal system shown below. The temperature of the inflow liquid is kept constant, and the liquid inflow rate G kg/s is also kept constant. For t <0 the system is at steady state, wherein the heat input from the heater is U kcal/s and the temperature of the liquid in tank 2 is 0,°C. At t 0 the heat input is changed from U to U + u where u is small. This change will cause the temperature of the liquid in tank 2 to change from 02 to 02 +82. Taking the change in the heat input from the heater to be the input to the system and the change in the temperature of the liquid in tank 2 to be the output, obtain the transfer function 02(s)/U(s). Assume that the thermal capacitances of tanks 1 and 2 are Ci kcal/°C and C2 kcal/C, respectively, and that the specific heat of the liquid is c kcal/kg°C. The steady-state heat flow rates from tanks 1 and 2 are the same, Q kcal/s. The changes in and heat flow rates from tanks 1 and 2 are q2, respectively. U +u G Tank 1 O+ 0, O+ 0, O+ 42 Tank 2The can, which weighs 0.2 lb, has an open end. If it is inverted and pushed down into the water, determine the force F needed to hold it under the surface. Assume the air in the can remains at the same temperature as the atmosphere, and that is 70 °F. Hint: Account for the change in volume of air in the can due to the pressure change. The atmospheric pressure is Patm = 14.7 psi. 1 ft 0.5 ft 0.25 ft
- Argon gas flows through a well-insulated nozzle at steady state. The temperature and velocity at the inlet are 570°R and 150 ft/s, respectively. At the exit, the temperature is 460°R and the pressure is 40 lb/in². The area of the exit is 0.0085 ft². Use the ideal gas model with k = 1.67, and neglect potential energy effects. Determine the velocity at the exit, in ft/s, and the mass flow rate, in lb/s.An increase in pressure of a liquid from 7.5 MPa to 15 MPa results into 0.2 percent decrease in its volume. Determine the coefficient of compressibility of the liquid.Air within a piston-cylinder assembly, initially at 15 lbf/ in.2, 510°R, and a volume of 6 ft³, is compressed isentropically to a final volume of 3 ft³. Assuming the ideal gas model with k = 1.4 for the air, determine the: (a) mass, in lb. (b) final pressure, in lbf/in.² (c) final temperature, in °R. (d) work, in Btu.
- •Determine the unit weight of the liquid when it is at the level shown. (Express the answer in English unit) •Determine the weight of the liquid. (Express the answer in English unit) •Assuming no mixing of liquids occur, if glycerin (SG= 1.26) is poured into the tank: a.) it will sink to the bottom of the tank b.) it will float on the surface of the liquid c.) it will be suspended in the liquid * answer should be in 3 decimal places1) A cylinder of volume 50cm made of Pyrex glass is full to the brim with acetone. Suppose the cylinder and acetone are warmed by 30°C. (Coefficient of linear expansion of glass, 3.2 x 10-6K-1 and acetone, 5.0 x 10-5K-1) i. Calculate the change in volume of the glass. ii. Calculate the change in volume of the acetone. ii. Will any acetone spill out of the cylinder? Explain.An open tube is attached to a tank as shown. A). If Liquid X (Oil SG=0.55) rises to a height of 800 mm in the tube, what is the pressure Pa (in kPa) of the air above water? Neglect capillary effects in the tube. B). If Liquid X (Alcohol SG=0.79) rises to a height of 800 mm in the tube, what is the pressure Pb (in kPa) of the air above water? Neglect capillary effects in the tube.
- At the start of compression in an air standard Otto cycle with a compression ratio of 10, air is at 100 kPa and 313.15 K. A heat addition of 2800 kJ/kg is made. Calculate the thermal efficiency. For air, use k=1.4A closed tank whose bottom is 18 inches in diameter is filled with three liquids: 4 inches of carbon tetrachloride (SG=1.59), 2 inches of water and 12 inches of syrup (SG=1.31). The air chamber in the tank is pressurized at 1296 psf. a. Determine the pressure at the interface of carbon tetrachloride and syrup. b. Determine the difference in pressure between the interface of water and syrup and the interface of carbon tetrachloride and syrup. c. Compute the hydrostatic pressure (in psf) acting at the bottom of the tank. d. Apply the PANEL EQUATIONS to determine the magnitude, direction and location of the total hydrostatic force acting at the bottom of the tank.1. Find the mass density of air at 310 kPa absolute and at temperature of 33°C. 2. The volume of water needs to be reduced by 0.8%. What is the pressure required? Use E = 2.8 GPa. 3. A rigid container is partly filled with a liquid at 1,520 kPa. The volume of the liquid is 1.232 liters. At a pressure of 3,039 kPa, the volume of the liquid is 1.231 liters. The liquid has a density of 1593 kg/m³. What is the speed of sound in the medium? 4. A certain liquid has a unit weight of 65 kN/m3. Compute the following: a. mass density b. specific volume c. specific gravity