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Chapter 1 Solutions
Introduction to Heat Transfer
- Water is enclosed in the piston/cylinder system as shown in the figure. The initial temperature of the water is T1 = 140 °C. The mass of the enclosed water is m, = 12 kg. The piston has mass, m, = 500 kg and diameter, D, = 0.125 m. The water is heated until the specific volume is v, = 0.05 m/kg at which point the piston is fixed in position by a pin, i.e. piston can no longer move. The water is then further heated to a final temperature of T3 = 350°C. Assume that the atmospheric pressure is Po = 100.3 kPa and gravity is g = 9.81 m/s. a) What is the initial pressure of the water, P1, and specific volume v:? b) At state 2 what is the temperature, T2, and is the water a compressed liquid, saturated mixture or a superheated vapour? If the state is a saturated mixture, determine the quality. c) What is the final pressure of the water, P3? d) Draw a P - V (pressure - volume) diagram of the process. Label all state points, process lines, constant temperature line(s) and the pressure and…arrow_forwardWhile the electric current (i) passes through the circuit part in the figure, the power consumed in the resistor of R1=5Ω is 20 Watt. Accordingly, if it is immersed in 100 ml of distilled water at 22°C in an insulated glass with a resistance of R2=7Ω, after how many minutes will the temperature of the water rise to 25°C?arrow_forwardQ = m xc x AT The iron block had a mass of 2 kg. Calculate the energy transferred by the heater to increase the temperature of the iron block by 5 °C. The specific heat capacity of iron is 450 J/ kg °C. SHOW YOUR WORKINGS OUTarrow_forward
- 2. A large sheet of glass 2” thick is initially at 300oF throughout. It is plunged into a stream of running water having a temperature of 60oF. How long will it take to cool the glass to an average temperature of 100oF. For glass k = 0.40BTU/ft-hroF, ρ = 155 lb/ft3 and Cp = 0.20 BTU/lboF.arrow_forwardThe diagram shows a schematic for a thermometer based on the expansion of some fluid. There is a spherical reservoir of the fluid, with radius R, which is connected via a tube to a vertical section, with a circular cross section, radius r. a. assuming r << R, show that the change in fluid level in the tube is given by: 4 BR³ AT AL = 3 p² Where AT is the change in temperature and is the volumetric expansion coefficient of the fluid b. what properties should the system have to be most sensitive?arrow_forwardA body is removed from a confined space where the temperature is 70°C and is taken outside, where the air temperature is 10°C. After one-half minute, the body's temperature is read as 50°C. How long will it take for the body's temperature to reach 15°C? What is the value of the proportionality constant?arrow_forward
- Two vessels of different shape and sizes are connected by means of a pipe with a valve. Vessel A has a diameter of 4 ft and the length is 1.8 m at the given pressure gauge of 1476.4 in Hg and temperature of 82°F. Another vessel spherical in shape contains the same gas at 15,000 torr gauge and 18°C. The valve is opened and when the properties have been determined, it is found out that the gauge pressure is 35.7 kg;/cm² and the temperature is 21°C. If the barometric pressure is 755 mm Hg, find the following: 1. Volume of Vessel A in in3 2. Pressure at Vessel A in psia 3. Temperature at Vessel A in °R 4. Pressure at Vessel B in psia 5. Temperature at Vessel B in °R 6. Pressure of the gas when mixed in psia 7. Temperature of the gas when mixed in °R 8. Atmospheric pressure in psi Main Question: What is the diameter of the spherical tank in inches if the gas is carbon dioxide?arrow_forwardTwo vessels of different shape and sizes are connected by means of a pipe with a valve. Vessel A has a diameter of 4 ft and the length is 1.8 m at the given pressure gauge of 1476.4 in Hg and temperature of 82°F. Another vessel spherical in shape contains the same gas at 15,000 torr gauge and 18°C. The valve is opened and when the properties have been determined, it is found out that the gauge pressure is 35.7 kgf/cm2 and the temperature is 21°C. If the barometric pressure is 755 mm Hg. Question: What is the diameter of the spherical tank in inches if the gas is carbon dioxide?arrow_forwardTwo vessels of different shape and sizes are connected by means of a pipe with a valve. Vessel A has a diameter of 4 ft and the length is 1.8 m at the given pressure gauge of 1476.4 in Hg and temperature of 82°F. Another vessel spherical in shape contains the same gas at 15,000 torr gauge and 18°C. The valve is opened and when the properties have been determined, it is found out that the gauge pressure is 35.7 kgf/cm2 and the temperature is 21°C. If the barometric pressure is 755 mm Hg, find the following: Volume of Vessel A in in3 Pressure at Vessel A in psia Temperature at Vessel A in °R Pressure at Vessel B in psiaarrow_forward
- A refrigerator has a coefficient of performance of 2.50, requires 150 W of electrical power to operate, and maintains a temperature of -4.00 °C within its interior compartment. How long would it take to cool a dozen 1.00 L of water in a plastic wrapper from 33.0 °C to -4.00 °C in this refrigerator? Any heat escaping the plastic should be ignored. Remember that 1.00 g/cm3 is the density of water.arrow_forwardQ4/ How much heat is required to raise the temperature of 30 Kg air in the room from 5c'to 20c'when a heater is used to heat this room ,under this conditions the specific heat capacity of air=1000 J/Kg.Karrow_forwardIf some heat is transferred to the gas and its volume is doubled, do you expect the pressure inside the cylinder to change?arrow_forward
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