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kondaur [170]
3 years ago
11

A 500-m^3 rigid tank is filled with saturated liquid-vapor mixture of water at 200 kPa. If 20% of the mass is liquid and the 80%

of the mass is vapor, the total mass in the tank is: (a) 635 kg (b) 2809 kg (c) 258 kg (d) 500 kg (e) 705 kg
Engineering
1 answer:
guapka [62]3 years ago
3 0

Answer:

(a) 705 kg

Explanation:

it is given that volume =500m^3

pressure = 200 kPa

it is given that 80% mass is vapor so dryness fraction =x=0.8

from the standard table at 200 kPa

v_f=0.001061 \frac{m^3}{kg}

v_g=0.88578\frac{m^3}{kg}

specific volume v=v_f+x\left ( v_g-v_f \right )

v=0.00106+0.8\left ( 0.88578-0.00106 \right )=0.7088\frac{m^3}{kg}

we know that specific\ volume =\frac{volume}{mass}

0.7088=\frac{500}{mass}

mass=\frac{500}{0.7088}=705.456 \ kg

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