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Steam Math Question
SteveSteam
Member Posts: 12
In a steam generating plant, the feedwater pumps are of the steam driven reciprocating duplex type. Steam at boiler pressure, 100lbs./sq.in., is used to drive these pumps. The pumps are designed to work against a head of 150 lbs/sq.in., and the steam pistons have a diameter of 31/2 inches.
Under these above conditions, the water plungers should have a diameter, in inches, MOST NEARLY equal to:
A) 3.85"
B) 3.26"
C) 2.25"
D) 2.86"
I know thw correct answer is C) 2.86", but I was wondering if anyone knew the formula on how to get the answer? Thanks
Under these above conditions, the water plungers should have a diameter, in inches, MOST NEARLY equal to:
A) 3.85"
B) 3.26"
C) 2.25"
D) 2.86"
I know thw correct answer is C) 2.86", but I was wondering if anyone knew the formula on how to get the answer? Thanks
0
Comments

Area times pressure
The steam cylinder will exert a force of 100psi x 3.14 x 3.5" x 3.5" / 4 = 962 lbs
(pressure times piston area) where area = pi times diameter squared divided by 4
The same force will be applied to the water cylinder:
150psi x 3.14 x D squared / 4 = 962
117.75 D squared = 962
D squared = 962 / 117.75 = 8.17
Square root of 8.17 = 2.86
So diameter of water piston is 2.86 inches0 
Steam Math Question
WOW!!! Thanks Mike, I'll have another one for you tomorrow0
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