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Answer:
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Step-by-step explanation:
Centrifugal compressor Mass flow rate mf = 0.8Kg/sec
Condition at inlet:
P1 = 1 bar = 1 × 105 N/m2
V1 = 10m/sec; u1 = 30KJ/kg ν1 = 0.95m3/kg
Condition at exit:
P2 = 8bar = 8 × 105 N/m2
V2 = 6m/sec;
u2 = 124KJ/kg
ν2 = 0.2m3/kg
The change in enthalpy is given by
h2 – h1 = (u2 + P2U2) – (u1 + P1U1)
= (124 × 103 + 8 × 105 × 0.2 – (30 × 103 + 1 × 105 × 0.95)
= 159000 J/Kg = 159KJ/kg ...
(i) Heat loss to cooling water Q = – (dU + dW) = – (U2 – U1) – Ws KJ/sec
Q = – (30 – 124) – Ws = – 96 – Ws ...
(ii) From Sfee Q – Ws = mf [(h2 – h1) + 1/2 (v22 – V1 2) + g (Z2 – Z1)]
– 96 – Ws – Ws = 0.8 [159 + 1/2 (62 – 102)] – 96 2Ws = 0.8 [159 + 1/2 (62 – 102)] – 96 – 2Ws = 101.6 Ws = – 98.8KJ/sec .
(–ive sign indicate that work done on the system) Thus the power of motor required to drive the compressor is 54.60KW Mass flow rate at inlet = Mass flow rate at outlet
= 0.8 A1 × 10/0.95
A1 = 0.076m2
Π/4.dintel 2 = 0.076
dinlet = 0.096 m = 96.77 mm .
Now; Mass flow rate of outlet
= mf2 = A2.V2/u2 0
.8 = A2 × 6/0.2 A2 = 0.0266m2
Π/4.doutlet 2 = 0.0266
doutlet = 0.03395 m = 33.95 mm
Answer:
The answer is 33.95mm.
Device: Centrifugal compressor Mass flow rate mf = 0.8Kg/sec Condition at inlet:
P1 = 1 bar = 1 × 10^5 N/m2 V1 = 10m/sec;
u1 = 30KJ/kg ν1 = 0.95m3/kg
Condition at exit:
P2 = 8bar = 8 × 10^5 N/m2 V2 = 6m/sec;
u2 = 124KJ/kg ν2 = 0.2m3/kg
The change in enthalpy is given by
h2 – h1 = (u2 + P2U2) – (u1 + P1U1) =
(124 × 10^3 + 8 × 10^5 × 0.2 – (30 × 10^3 + 1 × 10^5 × 0.95)
= 159000 J/Kg = 159KJ/kg ...(i)
Heat loss to cooling water
Q = – (dU + dW) = – (U2 – U1) – Ws KJ/sec
Q = – (30 – 124) – Ws = – 96 – Ws ...(ii)
From Sfee
Q – Ws = mf [(h2 – h1) + 1/2 (v2^2 – V1 ^2) + g (Z2 – Z1)]
– 96 – Ws – Ws = 0.8 [159 + 1/2 (6^2 – 10^2)]
– 96 2Ws = 0.8 [159 + 1/2 (6^2 – 10^2)]
– 96 – 2Ws = 101.6
Ws = – 98.8KJ/sec .
(–ive sign indicate that work done on the system) Thus the power of motor required to drive the compressor is 54.60KW Mass flow rate at inlet = Mass flow rate at outlet
= 0.8 A1 × 10/0.95
A1 = 0.076m2
Π/4.dintel 2 = 0.076
dinlet = 0.096 m = 96.77 mm .
Now; Mass flow rate of outlet = mf2 = A2.V2/u2
0.8 = A2 × 6/0.2
A2 = 0.0266m2
Π/4.doutlet 2 = 0.0266
doutlet = 0.03395 m = 33.95
Hope it helps....