The inside diameter and stroke length of a single acting reciprocating pump are 120 mm and 400 mm respectively. The speed of the piston is 50 strokes per minute. The suction and delivery heads are 5 m and 10 m respectively. If the efficiency of both suction and delivery strokes is 60%, the actual power required in kW by the pump is
Options:
(A) 0.55
(B) 0.65
(C) 0.94
(D) 1.12
Official Answer Key:
C
Step-by-Step Solution & Explanation
Theoretical discharge (single-acting): Q = A·L·N/60, A = (π/4)(0.120)² = 0.01131 m², L=0.400 m, N=50/min. Q = 0.01131 × 0.400 × 50/60 = 0.003770 m³/s. Actual power = ρgQ(hs+hd)/η = 1000×9.81×0.003770×(5+10)/0.60 = 1000×9.81×0.003770×15/0.60 = 924.6 W ≈ 0.94 kW, matching option (C).
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