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# Energy Transfer Equation

## Fluid energy transfer.

The energy transfered with a substance can be expressed as

Q = m cp dt                                   (1)

where

Q = quantity of energy transferred (kJ, Btu)

m = mass of substance (kg, lb)

cp = specific heat of the substance (kJ/kgoC, kJ/kgoK, Btu/lb oF)

dt = temperature difference (rise or fall) in the substance (oC, K, oF)

### Example - Energy Transfer with Water

2 kg of water is heated from 20oC to 60oC. The specific heat of water is 4.2 kJ/kgoC. The heat transfered can be calculated as

Q = (2 kg) (4.2 kJ/kgoC) ((60oC) - (20oC))

= 336 kJ

= (336 kWs) (1/3600 h/s)

= 0.093 kWh

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Temperature

oC
oF

Length

m
km
in
ft
yards
miles
naut miles

Area

m2
km2
in2
ft2
miles2
acres

Volume

m3
liters
in3
ft3
us gal

Weight

kgf
N
lbf

Velocity

m/s
km/h
ft/min
ft/s
mph
knots

Pressure

Pa (N/m2)
bar
mm H2O
kg/cm2
psi
inches H2O

Flow

m3/s
m3/h
US gpm
cfm

3 30