Problem 7.10 Waterfall You recently purchaseda large plot of land in the Amazon

Question

Problem 7.10 Waterfall You recently purchaseda large plot of land in the Amazon jungle at an extremely low cost You are quite pleased with yourself until you arvive there and find Since the local hard The flow rate of the waterfall is 0.150x102 m2h, and you anticipate needing 750.0 kW hy/wk to run you lights, air conditioner, and television that the nearest source of electricity is 1500 miles away, a fact that your brother-in-law, the real estate egent, somehow forgot to mention dware 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 Power Available What is the maximum power theoretically available from the waterfal? the tolerance is +/-2% Click if you would like to Show Work for this question: Open Show Work LINK TO T By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor Adequacy Is the power theoretically avalable from the waterfall sufficient to meet your needs? d like to Show Work for this question: Open Show Work Dy accessing this Question Assistance, you wit learn while you earn points based on the Point Potestial Policy set by your instructor

Explanation / Answer

Part a

Maximum power available = mass flow rate of water x g x height

= volumetric flow rate x density x g x height

= 0.150 x 10^2 m3/h x 1000 kg/m3 x 9.81 m/s2 x 35 m

= 5150250 J/h x 1h/3600s x 1kJ/1000 J

= 1.43 kJ/s

= 1.43 kW

Part b

Maximum power = 5150250 J/h x 168h/wk x 1kWh/3.6*10^6 J

= 240.345 kWh/wk

No, Theoretical available power does not fulfill the requirements of 750 kWh/wk

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