You recently purchased a large plot of land in the Amazon jungle at an extremely low cost. You are quite pleased with yourself until you arrive there and find that the nearest source of electricity is 1500 miles away, a fact that your brother-in-law, the real estate agent, somehow forgot to mention. Since the local hardware store does not carry 1500-mile-long extension cords, you decide to build a small hydroelectric generator under a 35.0-m high waterfall located nearby. The flow rate of the waterfall is 0.150x10^2 m^3/h, and you anticipate needing 1750 kW h/wk to run you lights, air conditioner, and television.
What is the maximum power theoretically available from the waterfall? Is the power sufficient to meet your needs?

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valetta valetta · Answer 1 · 2019-08-01T11:48:37+02:00

Answer:

The maximum power available from the water fall is 239.568 kWh/week.

Explanation:

Given:

Flow rate = 0.15 × 10² m³/h

now the mass of water flowing per hour will be = flow rate × mass density of water(i.e 1000 kg/m³)

mass of water flowing per hour will be = 0.15 × 10² m³/h × 1000 kg/m³ = 15000 kg/h

The gravitational potential energy of the falling water = mgh = 15000 × 9.8 × 35 = 5145000 J/h

or

5145000/3600 = 1426.166 J/s (as 1 h = 3600 seconds)

or

1426.166 W = 1.426 kW

Now, the number of hours in a week = 7 × 24 = 168 hours

Now the energy produce in a week = 1.426 kW × 168 hr = 239.568 kWh/week.

No it is not sufficient to meet the needs