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Question

Water has a critical specific volume 0.003155m3/kg. A closed and rigid steel tank of volume 0.025m3 contains a mixture of water and steam at 0.1 MPa. The mass of the mixture is 10 kg. The tank is now slowly heated. The liquid level inside the tank

A
will remain constant
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B
will fall
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C
will rise
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D
may rise or fall depending on the amount of heat transferred
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Solution

The correct option is C will rise
Given data:
Critical specific volume of water:
VC=0.003155m3/kg

Volume of steel tank,
V=0.025m3

Pressure of mixture of water and steam,
p=0.1MPa=1bar

Mass of mixture of water and steam,
m=10kg

Specific volume of mixture,
V=Vm=0.02510=0.0025m3/kg


As V<VC, the condition of steam lies near to the saturated liquid line and the liquid level inside the tank will rise with heating.

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