A bathtub faucet has a maximum flow rate of 3 gal/min. The tub is rectangular (3 ft long x 2 ft wide x 1.5 ft deep). Although th
e tub drain is plugged, water leaks out at 0.01 gal/min. There is an overflow opening which allows water to drain from the tub. The overflow opening is 1 ft above the bottom of the tub. How long will it take the tub to fill to 1 ft deep with the faucet on at its maximum flow rate? If the area of the overflow opening is 0.5 in2 and water drains with a velocity of 1.8 ft/sec, will the tub ever overflow if you turn the faucet on at the maximum flow rate? If so, how long will it take? (Note: since the overflow opening is very small, assume that water drains through the entire opening once the water is 1 ft deep).
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Answer:
- Moisture/ water content w = 26%
- Void ratio , e = 0.73
Explanation:
- Initial mass of saturated soil w1 = mass of soil - weight of container
= 113.27 g - 49.31 g = 63.96 g
- Final mass of soil after oven w2 = mass of soil - weight of container
= 100.06 g - 49.31 g = 50.75
Moisture /water content, w = =
= 0.26 = 26%
Void ratio = water content X specific gravity of solid
= 0.26 X 2.80 =0.728
Answer:
a) , b)
Explanation:
a) The Coefficient of Performance of the Carnot Heat Pump is:
After some algebraic handling, the temperature of the cold reservoir is determined:
b) The heating load provided by the heat pump is: