Problem 1 An air conditioner removes heat steadity from a houset a rate of 900 kJ/min white drawing electric power at a rate of 8 kW. Determine (a) the COP of this air conditioner and (b) the rate of heat transfer to the outside air. Tx R W= 8 tw = 900 12³/min House
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- Residential annual energy use. For a house with: Air exchange rate of 0.5 h−1 Cp = 1000 J/kg.K Density of air = 1.2 kg/m3 Roof area = 144 m2; opaque wall area = 96 m2; window area = 24 m2; volume = 360 m3 Conductivity of Uwall = 0.60 W/(m2-K); Uwin = 3.0 W/(m2-K); Uroof = 0.40 W/(m2-K) Heating system efficiency of 0.85 Heating degree days (HDD) of 3500 K-days Calculate the Ktot for this house. Calculate the annual energy used to heat this house (in GJ).Temperature of steam at 291.4˚C passed through 0.27 m steel pipe for a total distance of 154080 mm and having 8 cm thickness. The ambient temperature of 75.8˚F. Determine the thermal conductivity (in W/m-K) having heat loss of 1200 watts. Ans. 0.00215Solve the heat equation ut=cuxx on the domaion 0≤x≤2, t>0 subject to u(x,0)=x(x−2), u(0,t)=0,u(2,t)=0
- Water with a flow rate of 0.85 lb/s and a temperature of 50 F enters a 1-inch tube. A constant wall temperature of 122 F is maintained. Determine (a) the convective heat transfer coefficient (in whole number); (b) for a tube 16 ft long, the water exit temperature (in whole number). For water, k = 4.16 Btu-in/ft2-hr-F.Incident radiation at the Laguna Lake is 978 W/m2 at noon on February 14th. Water temperature is 28.0 °C. Airtemperature is 28.0°C, relative humidity is 85%, and wind speed is 1.7 m/s at 2m.– Determine the open water evaporation rate in mm/d using the energy methodAir enters an adiabatic nozzle steadily at 300 kPa, 200°C, and 30 m/s and leaves at 100 kPa and 180 m/s. The inlet area of the nozzle is 80 cm2. Determine (a) the mass flow rate through the nozzle, (b) the exit temperature of the air, and (c) the exit area of the nozzle. R = 0.287 kJ/kg. K, CP 1.005KJ/kg. K.
- Glycerin (s.g.=1.26, and absolute viscosity = 1.49 Pa-s) flows through a rectangular conduit 325mm by 450mm at the rate of 160 lit/sec. Determine the major head loss due to friction (hf) per 1km length of pipe.For an air-conditioning system, the outdoor and indoor design dry bulb temperatures are 45°C and 25°C respectively. The space to be air-conditioned Is 20m x 30m x 5m and infiltration is estimated to be one alr are 1.2 (kg of dry air)/m³ and 1.02 kJ/(kg of dry air) °C, then the sensible heat load due to Infiltration is, nearlyThe air in a certain room 150’ x 50’ x 12’ tested 0.2% CO2. Fresh air containing 0.05% CO2 was then admitted by ventilators at the rate of 9000 ft3/min. Find the % of CO2 after 20 min.
- Air at 30 deg. Celsius and 110KPa flows at 20N/s through a rectangular duct that measures 160mm x 320mm. Compute the average velocity (m/s) and flow rate (? ^3/s) using gas constant equal to 289 J/kg-K.Compute the pressure heat at m, in feet of fluid A, indicated by open manometer in figure 2 below when (a) Fluid A is oil (sp gr 0.851), the gage liquid is carbon tetrachloride (sp gr 1.51), y=30.15 in, z=3051 in. (b) Fluid A is molasses (sp.gr 1.50), gage liquid is water, y=3.51 ft, z=1.15 ft24000-ton coal/day having 4.2% Sulphur and emits gases at velocity of 18.3 m/s and temperature 140 °C from a hole of diameter 8m in ground. The physical height stack is 200m. Find the down-wind ground level concentration at the distance of 1.5 km. Data given: Air temperature: 8 °C, Wind speed: 4.5 m/s Dispersion coefficient horizontal: 600 m Dispersion coefficient vertical: 295.1
