Water has a critical specific volume of 0.003155 m3/kg. A closed and rigid steel tank of volume 0.025 m3 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

  1. Will rise
  2. Will fall
  3. Will remain constant
  4. May rise or fall depending on the amount of heat transferred

Answer (Detailed Solution Below)

Option 1 : Will rise
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Explanation:

In the question, critical specific volume Vc = 0.003155 m3/kg is given.

Mixture specific volume v = \(\frac{{0.025\;}}{{10}}\) = 0.0025 m3/kg.

F1 Vishamber Ravi 04.05.21 D12

As V < Vc and due to the water mixture's heating temperature will rise and hence pressure will rise.

As pressure rises, the mixture's state will change from 1 to 2 as the rigid tank is given in the question so the mixture's total volume will be constant.

At state 1 quality is X1 and at state 2 quality of the mixture will be X2.

From figure X2 < X1. It means the liquid at state 2 will be more. Since liquid at state 2 is more therefore level of liquid inside the tank will rise.

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