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The two pipes (A and B) contain the same liquid with a density of 923 kg/m3. The differential pressure reading in the manometer is found to be h= 0.3m of mercury (density = 13550 kg/m3). Due to changes in pumping, pressure in pipe A increases by 10kPa. What should be the value of hin the manometer at that time?

Respuesta :

Answer:

hm = 0.37 m

Explanation:

Given:

Density of liquid contain in pipes  

ρ  = 923  kg/m3

Density of manometric fluid

ρ m = 13550  kg/m3

Pressure in the pipe A,  

P  = 10K Pa

1 - Find the initial pressure difference in pipes, we can apply hydrostatic force concept in both the pipes

P A  + ρAghA − PB − ρBghB − ρmghm = 0

P A  -  P B = 923 × 9.8 × 0.1 +  13550 ×  9.8 × 0.3 −  923 ×  9.8 × 0.1

P A  -  P B = 39690 N

(P A + 1000)  + ρAghA − PB − ρBghB − ρmghm

PA - PB + 1000 = ρmghm - ρAghA − ρBghB

PA - PB + 1000 = 13550  × 9.8 × hm  + 923 × 9.8 ×  0.1 −  923  ×   9.8 × 0.1

Now put the value from (1) the manometric height

hm = 0.37 m

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