For the following circuit find the current the voltage drop
Solution
Q!, Electrical engineering problem, need to submit separately!
Q(2) method of soln:
Heat gained by coffee = heat lost by hot water:
Cp water = 4.184 cal/gmdeg
96*4.184* ( temp diff) water = heat lost
Temp diff water = 203 F - 84 c . CONVERT ALL TO DEG Centigrade, = 95-84 =11 deg C
Temp diff of coffee= 84C-77F = 84C- 25C = 59 C
Calories lost by water: (Cp water 4.184)*DT = 4.184*96*11 =4418.3 calories
Calories gained by coffee: Mass of coffee X Sp heat X Temp diff = 12 * Cp coffee* 59 =708 C coffee
equating the heat lost by water to heat gained by coffee, Cp coffee is found:
Cp coffee = 6.24 cal/gm C
Now you want the final temp to be 20C less, ie 84-20 =64 deg C
The heat is removed from the final mixture of 12 g coffee and 96 g water
right now you have coffee water mixture at 84 deg C
diff in temp 20 deg C
Assuming sp heat of coffee in mixture is same:
[12g coffee*6.2405* 20] + [96g water *4.184*20] = 9531 cal to be removed from the total contents initially at 84 C
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Energy reqmt 150000*35 MJ /day = 5350000 MJ/day = 60.764 MJ/sec= 60.764 MW ( I J/sec=1W)
Boiler is supplying 120 MW, hence this is sufficient without losses.
Need to estimate efficiency of boiler taking Carnot efficiency : (T2-T1)/T2 where T2 =hot temp, T1 cold temp
( efficiency) * 120 MW= 60.76 MW ==> efficiency = .51 approx
Solve T1/T2 = .49
So if temp of boiler is 2* temp of air is enough!!
