Phy-Heat

2007-04-21 7:31 pm
唔識計

The difference in water temperature between the top and the bottom of a waterfall is 0.15 degree celsius .
Assuming no heat is lost from the water to surroundings.
What is the heightof the waterfall?
(the specific heat capacity of water is 4200 Jkg-1degree celsius-1)

A.) 3.6m

B.)28m

C.063m

D.)360m

回答 (2)

2007-04-21 7:49 pm
✔ 最佳答案
The answer should be C.) 63 m.

Let m be the mass of water.
Let h be the height of the waterfall

Accleration due to gravity, g = 10 ms^-2
Specific heat capacity of water, c = 4200 Jkg^-1°C^-1
Temperature change of water, △T = 0.15 °C

Assume no heat is lost to the surroundings,
Loss of P.E. = Gain of internal energy
mgh = mc△T
gh = c△T
(10)h = (4200)(0.15)
h = 63 m

So, the height of the waterfall is 63 m.
參考: Myself~~~
2007-04-21 7:36 pm
Assume all potential energy lost by water (of mass m) is converted to heat

mgh = mc dt

h = c dt / g = 4200 x 0.15 / 10 = 63 m
參考: myself


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