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Mechanical Properties Of Fluids

Question
CBSEENPH11019620

In an industrial process 10 kg of water per hour is to be heated from 20°C to 80°C. For this, steam at 160°C from boiler is passed in the coil dipped in water. The steam condenses and returns back to boiler at 95°C. How many kg of steam are required per hour? Take specific heat of steam 2 cal/gm/K.

Solution
Let m gm of steam be required per hour to raise the temperature of water.
The formula of calorimetry is given by, 
Q = straight m cross times straight C cross times increment straight t
where, 
q is the amount of heat transferred, 
c is the specific heat of the substance, 
m is the mass of the substance, and 
increment straight t is the temperature change. 
increment straight t = Tf - Ti
Now, according to the law of calorimetry, we have
Heat lost by steam = Heat gained by water 
m x 2 x 60 + m x 540 + m x 1 x 5 = 10,000 x 1 x 60 
rightwards double arrow      665 m = 60, 000 
rightwards double arrow             m = 902.26 gm, is the mass of steam required per hour.