Question

Lake Erie contains roughly 4.00 ✕ 10^{11} m^{3}
of water.

(a) How much energy is required to raise the temperature of that
volume of water from 15.4°C to 22.6°C? (Assume the density of this
water to be equal to that of water at 20°C and 1 atm.)

J

(b) How many years would it take to supply this amount of energy by
using the 1,400-MW exhaust energy of an electric power plant?

yr

Answer #1

a) volume,V = 4*10^{11} m^{3}

Q = energy required = ?

T1= 15.4 C

T2 = 22.6 C

p= density = 10^{3} kg/m^{3}

m= p*V

= 10^{3}* 4*10^{11} = 4*10^{14} kg

c= specific heat = 4.18*10^{3} J/Kg ^{0}C

Q = m*c*(T2-T1)

Q = 4*10^{14}*4.18*10^{3}* ( 22.6 - 15.4)

Q = 1.20*10^{19} J

-------------------------------------------

b) T = time required =?

power = 1400 MW

P = energy/time

time = energy / power

time = 1.20*10^{19} J / 1400*10^{6} J/s ( 1W =
1J/s)

= 8.59*10^{9} s

= 8.59*10^{9} s / 365*24*60*60 s/yr

= 272.38 yr

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 14.4°C to 25.4°C? (Assume the density of this
water to be equal to that of water at 20°C and 1 atm.)
J
(b) How many years would it take to supply this amount of energy by
using the 1,400-MW exhaust energy of an electric power plant?
yr

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.

(a) How much energy does it take to heat 250 g of water from 20
◦C to the boiling point of 100 ◦C? (The specific heat of water is
4190 J/kg · K)
(b) (Suppose you wanted to cause the temperature change in part
(a) by using an 800W microwave. If we assume all the power
delivered by the microwave goes into the water, how long will it
take for the water to change temperature?
(c) The heat of vaporization...

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