我想問兩個Physics問題呀

2008-10-01 7:00 am
1: Water at 15degree celcius is pumped through a car engine at a rate of 1 litre per second(1KG per second). When water comes out of the engine, it is at 95 degree celcius. The emgine is made of steel and has a mass of 200g.
(Specific heat capacity of water=4200J KGper second DEGREE CELCIUS per second) ( specific heat capacity of steel=450J KGper second DEGREE CELCIUS per second)

(a) How much energy is removed from the engine each second?
(b) How long would it take for the engine to overheat from 15degree Celcius to 200degree celcius if the cooling system failed?





2. iron blocks, A and B are heated by heater C and D respectively for the same period of time. The ratio of the power of C to that of D is 3:4. If the ratio of the temperature change of A to that of B is 4:3, What is the ratio of the mass of A to that of B?



Please Help,THX

回答 (1)

2008-10-02 7:51 am
✔ 最佳答案
(1)(a)
Energy for water to gain hear per second
= Energy of the engine to lose heat per second
= mCΔT
= 1x4200x(95-15)
= 336000J/s
(b) I think the mass of engine = 200kg (not 200g)
Let t be the time for heat up the engine
Energy produce by the engine
= mCΔT
= 200x450x(200-15)
= 16650000J
= energy to heat the water (Assume the cooling system doesn't fail)
= 1(t)(4200)(200-15)
= 777000t J
t = 21.54s
(2)
Let C be the specific heat capacity of iron
Ta & Tb be the temperature change of iron A and that of B
Let Ma and Mb be the mass of iron A and iron B respectively
Let power of C & D be Pc & Pd
Let t be the time to heat the iron blocks
Ta/Tb = 4/3 => Tb = 3Ta/4 -----(1)
Pc/Pd = 3/4 => Pd = 4Pc/3 -----(2)
Energy gain by the block A, Pc (t) = Ma C Ta ------(3)
Energy gain by the block B, Pd (t) = Mb C Tb -----(4)
sub eq(1) and eq(2) into eq(4):
4Pc(t)/3 = Mb C (3Ta/4)
Pc (t) = 9(Mb C Ta) /16 -------(5)
eq(3)/eq(5) :
1 = Ma/(9Mb/16)
Ma/Mb = 9/16
Ma : Mb = 9 : 16
The mass ratio of A and B = 9 : 16 respectively

2008-10-05 13:56:11 補充:
Revised for part 1(b)
Let t be the time for heat up the engine
Energy produce by the engine
= mCΔT
= 200x450x(200-15)
= 16650000J
energy for water to cool engine per second
= 1(t)(4200)(95-15)t
= 336000t J
energy for water to cool engine per second = energy produce by the engine
336000t=1665000
t = 34.7s


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