Suppose that in one year a country produces 2.77 × 10" kilowatt-hours (kWh) of electrical energy from 4148 hydroelectric plants (1.00 kWh = 3.60 × 10° J). On average, each plant is 90.0% efficient at converting mechanical energy to electrical %3D energy, and the average dam height is 50.0 m. At 2.77 x 10 kWh of electrical energy produced in one year, what is the average power output Payg per Pavg W hydroelectric plant? What total mass of water m flowed over the dams during that year? kg m = What was the average mass of water mavg per dam that provided the mechanical energy to generate the electricity? mavg = kg What was the average volume of water Vavg per dam that provided the mechanical energy to generate the electricity? (The density of water is 1000 kg/m'.) Vavg m3 A gallon of gasoline contains 4.50 × 10' J of energy. How many gallonsn of gasoline did the 4148 dams save? n = gal
Suppose that in one year a country produces 2.77 × 10" kilowatt-hours (kWh) of electrical energy from 4148 hydroelectric plants (1.00 kWh = 3.60 × 10° J). On average, each plant is 90.0% efficient at converting mechanical energy to electrical %3D energy, and the average dam height is 50.0 m. At 2.77 x 10 kWh of electrical energy produced in one year, what is the average power output Payg per Pavg W hydroelectric plant? What total mass of water m flowed over the dams during that year? kg m = What was the average mass of water mavg per dam that provided the mechanical energy to generate the electricity? mavg = kg What was the average volume of water Vavg per dam that provided the mechanical energy to generate the electricity? (The density of water is 1000 kg/m'.) Vavg m3 A gallon of gasoline contains 4.50 × 10' J of energy. How many gallonsn of gasoline did the 4148 dams save? n = gal
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:Suppose that in one year a country produces \(2.77 \times 10^{11}\) kilowatt-hours (kWh) of electrical energy from 4148 hydroelectric plants (1.00 kWh \(= 3.60 \times 10^6\) J). On average, each plant is 90.0% efficient at converting mechanical energy to electrical energy, and the average dam height is 50.0 m.
1. **At \(2.77 \times 10^{11}\) kWh of electrical energy produced in one year, what is the average power output \(P_{\text{avg}}\) per hydroelectric plant?**
\(P_{\text{avg}} = \quad \) W
2. **What total mass of water \(m\) flowed over the dams during that year?**
\(m = \quad \) kg
3. **What was the average mass of water \(m_{\text{avg}}\) per dam that provided the mechanical energy to generate the electricity?**
\(m_{\text{avg}} = \quad \) kg
4. **What was the average volume of water \(V_{\text{avg}}\) per dam that provided the mechanical energy to generate the electricity? (The density of water is 1000 kg/m\(^3\).)**
\(V_{\text{avg}} = \quad \) m\(^3\)
5. **A gallon of gasoline contains \(4.50 \times 10^7\) J of energy. How many gallons \(n\) of gasoline did the 4148 dams save?**
\(n = \quad \) gal
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