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(II) Energy may be stored for use during peak demand bypumping water to a high reservoir when demand is low andthen releasing it to drive turbines when needed. Supposewater is pumped to a lake 135 $\mathrm{m}$ above the turbines at arate of $1.35 \times 10^{5} \mathrm{kg} / \mathrm{s}$ for 10.0 $\mathrm{h}$ at night. (a) How much
Step 1
The formula for potential energy is $PE = mgh$, where $m$ is the mass of the water, $g$ is the acceleration due to gravity, and $h$ is the height of the reservoir above the turbines. Show more…
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(II) Energy may be stored for use during peak demand by pumping water to a high reservoir when demand is low and then releasing it to drive turbines when needed. Suppose water is pumped to a lake 135 $\mathrm{m}$ above the turbines at a rate of $1.35 \times 10^{5} \mathrm{kg} / \mathrm{s}$ for 10.0 $\mathrm{h}$ at night. (a) How much energy $(\mathrm{kWh})$ is needed to do this each night? $(b)$ If all this energy is released during a 14 -h day, at 75$\%$ efficiency, what is the average power output?
(II) Energy may be stored for use during peak demand by pumping water to a high reservoir when demand is low and then releasing it to drive turbines when needed. Suppose water is pumped to a lake 135 $\mathrm{m}$ above the turbines at a rate of $1.00 \times 10^{5} \mathrm{kg} / \mathrm{s}$ for 10.0 $\mathrm{h}$ at night. (a) How much energy (kWh) is needed to do this each night? (b) If all this energy is released during a $14-\mathrm{h}$ day, at 75$\%$ efficiency, what is the average power output?
(II) Energy may be stored by pumping water to a high reservoir when demand is low and then releasing it to drive turbines during peak demand. Suppose water is pumped to a lake 115 m above the turbines at a rate of $1.00 \times 10^5$ kg/s for 10.0 h at night. ($a$) How much energy (kWh) is needed to do this each night? ($b$) If all this energy is released during a 14-h day, at 75$\%$ efficiency, what is the average power output?
THE LAWS OF THERMODYNAMICS
Thermal Pollution, Global Warming, and Energy Resources
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