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

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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
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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