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4.9 As shown in Fig. P4.9, river water used to irrigate a field is controlled by a gate. When the gate is raised, water flows steadily with a velocity of 75 ft/s through an opening 8 ft by 3 ft. If the gate is raised for 24 hours, determine the volume of water, in gallons, provided for irrigation. Assume the density of river water is 62.3 lb/ft³.


The aim of this reading assignment is to give you the opportunity to learn about net-zero energy buildings (NZEBs). NZEBS are buildings that produce (at least) as much energy as they con- sume over a one year period. NZEBs integrate various forms of on-site renewable energy gener- ation (e.g., solar, geothermal) with energy efficient building system components (e.g., heat- ing/cooling, lighting, envelopes, electrical appliances). NZEBS are the future of the building sec- tor and are becoming more common. The papers listed below are published in the journal of the American Society of Heating, Refrigerating, and Air Conditioning Engineers (ASHRAE) - the leading international organization for research on high performance buildings. Each paper is a case study on an actual NZEB. PDF copies of each paper are available in Canvas.


An inventor claims to have developed a heat engine that receives 700 k J of heat from a source at 500 K and produces 300 kJ of net work while rejecting the waste heat to a sink at 290 K. Is this a reasonable claim? Why?


1-18 A 4-kW resistance heater in a water heater runs for3 hours to raise the water temperature to the desired level.Determine the amount of electric energy used in both kW hand kJ.


4-20 A piston-cylinder device contains 0.15 kg of air initially at 2 MPa and 350°C. The air is first expanded isothermally to 500 kPa, then compressed polytropically with a polytropic exponent of 1.2 to the initial pressure, and finally compressed at the constant pressure to the initial state. Determine the boundary work for each process and the net work of the cycle.


13 Water is the working fluid in a Rankine cycle. Steam enters the turbine at 1400 lbf/in² and 1000°F. The condenser pressure is 2 lbf/in? Both the turbine and pump have isentropic efficiencies of 85%. The working fluid has negligible pressure drop in passing through the steam generator. The net power output of the cycle is 1x10° Btu/h. Cooling water experiences a temperature increase from 60°F to 76°F, with negligible pressure drop, as it passes through the condenser. Determine for the cycle o the mass flow rate of steam, in lb/h. the rate of heat transfer, in Btu/h, to the working fluid passing through the steam generator. ) the thermal efficiency. the mass flow rate of cooling water, in lb/h.


1-22 The weight of bodies may change somewhat from one location to another as a result of the variation of the gravitational acceleration g with elevation. Accounting for this variation using the relation in Prob. 1-12, determine the weight of an 80-kg person at sea level (z = 0), in Denver (z 1610 m),and on the top of Mount Everest (z = 8848 m).!!


1-21 A pool of volume V (in m') is to be filled with water using a hose of diameter D (in m). If the average discharge velocity is V (in m/s) and the filling time is (in s), obtain a relation for the volume of the pool based on considerations of quantities involved.


The rocket is in free flight along an elliptical trajectory A – A'. The planet has no atmosphere,and its mass is 0.70 times that of the earth. If the rocket has an apogee (apoapsis) and perigee(periapsis) as shown in the figure, determine the speed of the rocket when it is at these two extreme points (in km/sec). Also calculate the time required to complete one revolution (in hour).


NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.Both a gauge and a manometer are attached to a gas tank to measure its pressure. The reading on the pressure gauge is 80kPa. Determine the distance between the two fluid levels of the manometer if the fluid is mercury (p = 13,600 kg/m). The distance between the two fluid levels ism.


An inventor claims that at steady state the device shown in the figure below develops power from entering and exiting streams of water at a rate of 1638 kW. The accompanying table provides data for inlet 1 and 2 and exit 4. The pressure at exit 3 is 3 bar. Stray heat transfer and kinetic and potential energy effects are negligible. Evaluate the inventor's claim.(Hint: Write the first law first to find the unknown quantities)


A house is losing heat at a rate of 1500 kJ/h per °C temperature difference between the indoor and the outdoor temperatures. Express the rate of heat loss from this house per K, 'F, and R difference between the indoor and the outdoor temperature. The rate of heat loss from this house per K difference isKJ/h. The rate of heat loss from this house per 'F difference is1kJ/h. The rate of heat loss from this house per R difference is kJ/h.


5.5 A 6 kg aluminium plate is removed from a furnace at 40o °C and allowed to cool in air at 15 °C until it reaches equilibrium. What is the increase in entropy of the atmosphere during this process?


1. What is the equivalent kinematic viscosity of a SUS 120 hydraulic oil in mm/s at 100°F?


4.62 Air enters a hair dryer at a temperature of 20 °C. It is heated by blowing it with a small fan over an electrically heated coil, so that it leaves at 50 °C through an opening with cross-sectional area 50 cm², The heating element of the hair dryer consumes i kW and the fan consumes 100 W. What is the maximum exit velocity of the air?


What is the difference between intensive and extensive properties? (10 pts)


Problem 1An inventor claims that at steady state the device shown in the figure below develops power from entering and exiting streams of water at a rate of 1638 kW. The accompanying table provides data for inlet 1 and 2 and exit 4. The pressure at exit 3 is 3 bar. Stray heat transfer and kinetic and potential energy effects are negligible. Evaluate the inventor's claim.(Hint: Write the first law first to find the unknown quantities)


What are the criteria for selecting offshore structures? (2 marks )


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