You use 95 degree C water to heat a reactor to 75 degree C. Assume a heat capaci

Question

You use 95 degree C water to heat a reactor to 75 degree C. Assume a heat capacity of water of 4.19 kJ/peg K), a viscosity of 1 cP and a density of Ig/ml. Your pump pumps water at 16 PSI pressure out of the boiler (if you do not know what 16 PSI arc, assume 1 am overpressure), through a 1 m tube with an inner diameter (ID) of 1", through a 12' heat exchanger with an ID of 3/4" and back into the boiler along a Im tube with an ID of 1". How much heat can you transfer into the reactor per hour? Even if you do not know the final answer, unit conversions to SI can bring you some points. Also, indicate the name of the equation to be used. Sketch the system.

Explanation / Answer

Hagen -poiseuille equation ,

Mass flow rate through a circular tube = PR^4/8ul

P is pressure drop

R is radius of circular tube

is density

U is viscosity

l is length of the tube

M = 3.14* (110.316*1000)pascal*((2.54*10^-2)/2)^4meter*(1000)kg/m^3/8*(1*10^-3)pa-sec*1meter

=1126.972 kg/sec

Rate of heating = rate of cooling

= M *Cp* T

(1126.972)*(4.19*10^3)*(95-75)

=94.440*10^6 joules of heat

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