Diketahui :
A₁ = A₂ = πr² = πD²/4 = π.0,28²/4
A₁ = A₂ = 0.0616 m²
T₁ = 20 + 273 = 293 K
P₁ = 200 kPa = 2.10⁵ Pa
P₂ = 180 kPa = 1,8.10⁵ Pa
T₂ = 40 + 273 = 313 K
Jawab :
PV = n.R.T = m/Mr.R.T
P = m/V. R/Mr.T = ρ.R/Mr.T
Berat molekul udara Mr = 0,0288 kg/mol
R/Mr = 8,31/0,028 = 288.54 J/kg.K
P = m/V. R/Mr.T = ρ. 288,54 .T
ρ = P/(288,54.T)
a. Laju aliran volume di masukan
Q₁ = A₁. v₁ = 0.0616. 5 = 0,31 m³/s
b. Laju aliran massa udara
m' = ρ₁. Q₁ = P₁/(288,54.T₁). 0,31
m' = 2.10⁵. 0,31/( 288,54 . 293)
m' = 0,73 kg/s
c. Laju aliran volume di keluaran
Laju aliran massa m' tidak berubah di masukan maupun di keluaran
m' = ρ₂. Q₂
m' = P₂/(288,54.T₂) . Q₂
Q₂ = m'. 288,54.T₂/P₂
Q₂ = 0,73. 288,54. 313/ ( 1,8.10⁵ )
Q₂ = 0,37 m³/s
Kecepatan aliran
Q₂ = A₂. v₂
v₂ = Q₂/A₂ = 0,37/0.0616
v₂ = 6 m/s
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Diketahui :
A₁ = A₂ = πr² = πD²/4 = π.0,28²/4
A₁ = A₂ = 0.0616 m²
T₁ = 20 + 273 = 293 K
P₁ = 200 kPa = 2.10⁵ Pa
P₂ = 180 kPa = 1,8.10⁵ Pa
T₂ = 40 + 273 = 313 K
Jawab :
PV = n.R.T = m/Mr.R.T
P = m/V. R/Mr.T = ρ.R/Mr.T
Berat molekul udara Mr = 0,0288 kg/mol
R/Mr = 8,31/0,028 = 288.54 J/kg.K
P = m/V. R/Mr.T = ρ. 288,54 .T
ρ = P/(288,54.T)
a. Laju aliran volume di masukan
Q₁ = A₁. v₁ = 0.0616. 5 = 0,31 m³/s
b. Laju aliran massa udara
m' = ρ₁. Q₁ = P₁/(288,54.T₁). 0,31
m' = 2.10⁵. 0,31/( 288,54 . 293)
m' = 0,73 kg/s
c. Laju aliran volume di keluaran
Laju aliran massa m' tidak berubah di masukan maupun di keluaran
m' = ρ₂. Q₂
m' = P₂/(288,54.T₂) . Q₂
Q₂ = m'. 288,54.T₂/P₂
Q₂ = 0,73. 288,54. 313/ ( 1,8.10⁵ )
Q₂ = 0,37 m³/s
Kecepatan aliran
Q₂ = A₂. v₂
v₂ = Q₂/A₂ = 0,37/0.0616
v₂ = 6 m/s