5) \ \

Water density ρ = 1000 kg/m^3 \ \

Large diameter d₁= 150 mm \ \

d₁ = 150/1000 = 0.15 m \ \

Small diameter d₂=  70 mm \ \

d₂=  70/1000 = 0.07 m \ \

Pressure at the small diameter p₁ = 750 kPa \ \

Pressure at the large diameter p₂ = 700 kPa \ \

Pipe  daiameter d = 200 mm \ \

d = 200/1000 = 0.2 m \ \

Venture meter throat diameter d_v =  130mm \ \

d_v =  130/1000 = 0.13 m \ \

Flow rate of water Q = ? \ \

A₁ = (¼)πd₁² \ \

A₁ = (¼)π(0.15²) \ \

A₁ = 0.01766 \ \

A₂  = (¼)πd₂² \ \

A₂  = (¼)(0.07²) \ \

A₂  = 0.00385 \ \

Q = A₁V₁ = A₂V₂ \ \

A₁V₁ = A₂V₂ \ \

Substitute A₁ = 0.01766 and A₂  = 0.00385 \ \

0.01766V₁ = 0.00385V₂ \ \

V₂ = 4.587 V₁ \ \

From Bernoulli Equation : (p₁/ρg)+((v₁)²/2g) + z₁ = (p₂/ρg)+((v₂)²/2g) + z₂ \ \

p₁= 750k , ρ =1000 , g = 9.8 ,  z₁ = 0 , p₂= 700k , z₂ = 0 \ \

(750000/(1000*9.8)+(v₁²) / (2*9.8) + 0 = (700000/(1000*9.8)+(4.587 V₁)² / (2*9.8) + 0 \ \

76.5+(v₁²) / (2*9.8) = 71.4+20.976(V₁)² /( 2*9.8) \ \

(20.976-1)(V₁)² /( 2*9.8) = 76.5 - 71.4 \ \

1.019 (V₁)² = 5.1 \ \

V₁ = 5.005 \ \

Q = A₁V₁ \ \

Substitute A₁ = 0.01766 and V₁ = 5.005 \ \

Q = 0.01766 * 5.005 \ \

Q = 0.884 litres per second \ \

The flow rate of water is 0.884 litres per second