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Lake Erie contains roughly 4.20E+11 m3 of water. How much heat is required to raise the...

Lake Erie contains roughly 4.20E+11 m3 of water. How much heat is required to raise the temperature of that volume of water from 11.3oC to 12.0oC? How many years would it take to supply this amount of heat by using the full output of a 1120 MW electric power plant? Do not enter unit.

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Answer #1

given that

volume V = 4.2*10^11 m^3

change in temperature T = (12-11.3) = 0.7 C

a) heat energy Q = mcT

here m = density*volume = 1000*4.2*10^11 = 4.2*10^14 kg

c = specific heat of water = 4.186*10^3 J/kg C

Q = 4.2*10^14*4.186*10^3 *0.7

Q = 1.231*10^18 J

b) from the relation

power p = energy/time

time = Q/p = 1.231*10^18/1120*10^6

t = 1.099*10^9 sec

t = 1.099*10^9*(1/3.154*10^7)

t = 34.84 yrs

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