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  1. A vessel of volume 1.0 m3 contains a mixture of liquid water and steam in equilibrium at 1.0 bar. Given that 90% of the volume is occupied by the steam, find the fraction of the mixture. Assume at 1.0 bar, vf = 0.001 m3/kg and vg = 1.7 m3/kg.
    1. 5.266 × 10-3
    2. 5.266 × 103
    3. 3.442 × 10-3
    4. 3.442 × 10-7
Correct Option: A

vf = 0.001 m3 /kg
vg = 1.7 m3 /kg

mass of mixture =
0.9
+
0.1
vgvf

mass of mixture =
0.9
+
0.1
= 100.53 kg
1.70.001

Specific volume v =
1
= 9.947 × 10-3 m3 / kg
m

v = vf + x(vf - vg)
9.947 × 10-3 = 0.001 + x(1.7 - 0.001)
x = 5.266 × 10-3



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