12 kg of air per minute is delivered by a… solved problem

12 kg of air per minute is delivered by a centrifugal air compressor. The inlet and outlet conditions of air are C₁ = 12 m/s, p₁ = 1 bar, v₁ = 0.5 m³/kg and C₂ = 90 m/s, 150 kJ/kg and heat loss to the surrounding is 700 kJ/min. Find (i) Motor power required to drive the compressor. (ii) Ratio of inlet to outlet pipe diameter. Assume that inlet and discharge lines are at the same level.

12 kg of air per minute is delivered by a centrifugal air compressor. The inlet and outlet conditions of air are C₁ = 12 m/s, p₁ = 1 bar, v₁ = 0.5 m³/kg and C₂ = 90 m/s, 150 kJ/kg and heat loss to the surrounding is 700 kJ/min.

Find (i) Motor power required to drive the compressor.

(ii) Ratio of inlet to outlet pipe diameter.

Assume that inlet and discharge lines are at the same level.

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