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Heat load calculation
9.5.1.Example - 1
1. 20 kg of water at 25ºC is raised to 80 ºC Calculate the heat required. Take the specific heat
of water = 4.19KJ/kgok
Solution:
Weight of the water m = 20 kg
Initial temperature T1 = 25ºC
Final temperature T2 = 80ºC
specific heat of water c = 4.19KJ/kgok
Q or H = m c ΔT
= m c (T2-T1)
= 20 x 4.19 x (80-25)
= 4609 KJ
2. At a flow rate of 0.2m3
/sec. If the water is cooled from 39o
C to 2o
C. Calculate the heat
energy removed.
Solution:
Mass flow rate of water = 0.2x1000=200 kg/sec.
ΔT=T2-T1 = 2-39 = -37o
C
Q or H = m c ΔT
= 200x4.19x(-37)
= -31006 KJ/Sec.
Here T2 is less than T1. The answer obtained is negative indicating the heat is rejected.
3. 10kg of water at 0o
C is frozen into ice at 0o
C Calculate the heat removed. Take latent heat
of fusion of water under atmospheric pressure is 335KJ/kg.
QL = m x hf
= 10 x 335
= 3350 kj
(Latent heat of fusion of water under atmospheric pressure is 335kj/kg)
4. Calculate the quantity of heat required to melt 12lb of ice at 32o
F into water at 32o
F. The
latent heat of fusion of water under atmospheric pressure is 144 Btu per pound
QL = m x hf
= 12 x 144
= 1728 Btu
Note:Since 12lb of ice absorb 1728 Btu in melting into water,it follows that 12lb of water at
32o
F will reject 1728 Btu in returning to the solid state.
5.A refrigerating machine preserve food at -7ºC temperature at the room temperature of 23o
C
find C.O.P.
T1 = -7+273 = 266o
K
T2 = 23 + 273 = 296o
K
T1
(C.O.P.)R = -------------
T2 – T1
266
= --------------- = 8.86
296 – 266
6. A machine working on a carnot cycle operates between 305K and 260K. Determine C.O.P.
when it is operated as
1. a refrigerating machine
2. Heat pump
3. heat engine
T1 = 260o
K
T2 = 305o
K
1. C.O.P. of a refrigerating machine
T1
(C.O.P)R = --------------- = 5.78
T2 – T1
2. C.O.P. of a heat pump
T2
(C.O.P)P = --------------- = 6.78
T2 – T1
3. C.O.P. of a heat engine
T2 – T1
(C.O.P)E = ---------------- = 0.147
T2
9.5.2.Example - 2
A Carnot refrigeration cycle absorbs heat at 270K and rejects it at 300 K.
Calculate the coefficient of performance of this refrigeration cycle
If the cycle is absorbing 1130 KJ/min at 270K how many KJ of work is required per second.
If the cavort heat pump operates between the same temperature on the above refrigeration
cycle, what is the coefficient of pump.
How many KJ/min will the heat pump deliver at 300 K if it absorbs 1130 KJ/min at 270 K.
T1 = 270K
T2 = 300K
9.5.3.Example – 3
9.5.4.Example - 4
9.5.5.Example – 5
9.5.6.Example – 6
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Session-19.pdf

  • 1. Heat load calculation 9.5.1.Example - 1 1. 20 kg of water at 25ºC is raised to 80 ºC Calculate the heat required. Take the specific heat of water = 4.19KJ/kgok Solution: Weight of the water m = 20 kg Initial temperature T1 = 25ºC Final temperature T2 = 80ºC specific heat of water c = 4.19KJ/kgok Q or H = m c ΔT = m c (T2-T1) = 20 x 4.19 x (80-25) = 4609 KJ 2. At a flow rate of 0.2m3 /sec. If the water is cooled from 39o C to 2o C. Calculate the heat energy removed. Solution: Mass flow rate of water = 0.2x1000=200 kg/sec. ΔT=T2-T1 = 2-39 = -37o C Q or H = m c ΔT = 200x4.19x(-37) = -31006 KJ/Sec. Here T2 is less than T1. The answer obtained is negative indicating the heat is rejected. 3. 10kg of water at 0o C is frozen into ice at 0o C Calculate the heat removed. Take latent heat of fusion of water under atmospheric pressure is 335KJ/kg. QL = m x hf = 10 x 335 = 3350 kj (Latent heat of fusion of water under atmospheric pressure is 335kj/kg) 4. Calculate the quantity of heat required to melt 12lb of ice at 32o F into water at 32o F. The latent heat of fusion of water under atmospheric pressure is 144 Btu per pound QL = m x hf = 12 x 144 = 1728 Btu Note:Since 12lb of ice absorb 1728 Btu in melting into water,it follows that 12lb of water at 32o F will reject 1728 Btu in returning to the solid state. 5.A refrigerating machine preserve food at -7ºC temperature at the room temperature of 23o C find C.O.P. T1 = -7+273 = 266o K T2 = 23 + 273 = 296o K T1
  • 2. (C.O.P.)R = ------------- T2 – T1 266 = --------------- = 8.86 296 – 266 6. A machine working on a carnot cycle operates between 305K and 260K. Determine C.O.P. when it is operated as 1. a refrigerating machine 2. Heat pump 3. heat engine T1 = 260o K T2 = 305o K 1. C.O.P. of a refrigerating machine T1 (C.O.P)R = --------------- = 5.78 T2 – T1 2. C.O.P. of a heat pump T2 (C.O.P)P = --------------- = 6.78 T2 – T1 3. C.O.P. of a heat engine T2 – T1 (C.O.P)E = ---------------- = 0.147 T2 9.5.2.Example - 2 A Carnot refrigeration cycle absorbs heat at 270K and rejects it at 300 K. Calculate the coefficient of performance of this refrigeration cycle If the cycle is absorbing 1130 KJ/min at 270K how many KJ of work is required per second. If the cavort heat pump operates between the same temperature on the above refrigeration cycle, what is the coefficient of pump. How many KJ/min will the heat pump deliver at 300 K if it absorbs 1130 KJ/min at 270 K. T1 = 270K T2 = 300K
  • 4.