Benzene at 37.8 °C is pumped through the system of Figure at the rate of 0.1515 m³/min. The reservoir is at atmospheric pressure. The gauge pressure at the end of the discharge line is 345 kN/m². The discharge line is 1.828 m above the pump, while the pump suction is 0.821 m below the level in the reservoir. The discharge line is 1.5-in. Schedule 40 steel pipe. The head friction in the suction line is 0.4066 m and in the discharge line is 4.4664 m. The mechanical efficiency of the pump is 60%. The density of benzene is 865 kg/m³ and its vapor pressure at 37.8 °C is 26.2 kN/m². a) Calculate the total power input. b) Evaluate whether the pump is suitable for this system when the pump manufacturer specifies a Net Positive Suction Head Required (NPSHR) of 3.05 m.

Elements Of Electromagnetics
7th Edition
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Benzene at 37.8 °C is pumped through the system of Figure at the rate of 0.1515
m³/min. The reservoir is at atmospheric pressure. The gauge pressure at the end
of the discharge line is 345 kN/m². The discharge line is 1.828 m above the
pump, while the pump suction is 0.821 m below the level in the reservoir.
The discharge line is 1.5-in. Schedule 40 steel pipe. The head friction in the
suction line is 0.4066 m and in the discharge line is 4.4664 m. The mechanical
efficiency of the pump is 60%. The density of benzene is 865 kg/m³ and its
vapor pressure at 37.8 °C is 26.2 kN/m².
a) Calculate the total power input.
b) Evaluate whether the pump is suitable for this system when the pump
manufacturer specifies a Net Positive Suction Head Required (NPSHR) of
3.05 m.
Discharge pipeline: 1.5 in schedule 40 steel
ha = 4.4664 m
P.
gauge
= 345 x 103 N/m²
P2 = Pabs = P
P, = (345 x 103 + 101.3 x 103) N/m²
P, = 446.3 x 10³ N/m²
+ Patm
gauge
h = 0.4066 m
P, = 1 atm = 101.3 x 10³ N/m²
1.828 m
0.821 m
PUMP
Q = 0.1515 m³/min
PC6H6 = 865 kg/m³
Pyn = 26.2 x 10³ N/m²
a) AH = 46.5369 m; Pµ
1.6618 KW
%3D
b) NPSHA = 10.0778 m
Transcribed Image Text:Benzene at 37.8 °C is pumped through the system of Figure at the rate of 0.1515 m³/min. The reservoir is at atmospheric pressure. The gauge pressure at the end of the discharge line is 345 kN/m². The discharge line is 1.828 m above the pump, while the pump suction is 0.821 m below the level in the reservoir. The discharge line is 1.5-in. Schedule 40 steel pipe. The head friction in the suction line is 0.4066 m and in the discharge line is 4.4664 m. The mechanical efficiency of the pump is 60%. The density of benzene is 865 kg/m³ and its vapor pressure at 37.8 °C is 26.2 kN/m². a) Calculate the total power input. b) Evaluate whether the pump is suitable for this system when the pump manufacturer specifies a Net Positive Suction Head Required (NPSHR) of 3.05 m. Discharge pipeline: 1.5 in schedule 40 steel ha = 4.4664 m P. gauge = 345 x 103 N/m² P2 = Pabs = P P, = (345 x 103 + 101.3 x 103) N/m² P, = 446.3 x 10³ N/m² + Patm gauge h = 0.4066 m P, = 1 atm = 101.3 x 10³ N/m² 1.828 m 0.821 m PUMP Q = 0.1515 m³/min PC6H6 = 865 kg/m³ Pyn = 26.2 x 10³ N/m² a) AH = 46.5369 m; Pµ 1.6618 KW %3D b) NPSHA = 10.0778 m
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