   Chapter 11, Problem 9P

Chapter
Section
Textbook Problem

Lake Erie contains roughly 4.00 × 1011 m3 of water. (a) How much energy is required to raise the temperature of that volume of water from 11.0°C to 12.0°C? (b) How many years would it take to supply this amount of energy by using the 1.00 × 104-MW exhaust energy of an electric power plant?

(a)

To determine
How much energy is required to raise the temperature of that volume of water.

Explanation

Given Info: Volume of water is 4.00×1011m3 , temperature of water raises from 11.0°C to 12.0°C .

Formula to calculate the mass of the water is,

m=ρV

• m is mass of the water
• ρ is the density of water
• V is volume of the water

Formula to calculate the energy required to raise the temperature of the water,

Q=mc(TfTi)

• Q is the energy required to raise the temperature of the water,
• c is the specific heat of water,
• Ti is the initial temperature of the water,
• Tf is the final temperature of the water,

Use ρV for m in Q=mc(TfTi) .

Q=ρVc(TfTi)

Substitute 1000kg/m3 for ρ , 4

(b)

To determine
The duration to supply the energy.

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