GATE ME 2026 Set 1 — Question 57
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Thermodynamics → Laws & Properties → Pure Substances & Phase Change
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Question
A rigid closed vertical cylindrical vessel of diameter contains water at with quality. The water is heated till its temperature reaches . Considering only a horizontal separated interface between liquid and vapor, the dip in the liquid level after the heating process is ________ cm (rounded off to 2 decimal places).Properties of water at various saturation temperatures are given in the table below.
and are temperature, specific volume, and specific internal energy, respectively. Subscripts and represent saturated liquid and saturated vapor, respectively.
| Temperature () | Specific volume () | Specific volume () | Specific internal energy () | Specific internal energy () |
|---|---|---|---|---|
| 80 | 0.001029 | 3.4053 | 334.97 | 2481.60 |
| 130 | 0.001070 | 0.66808 | 546.10 | 2539.50 |
Correct answer
11 to 11.9
Solution
1.Initial State (State 1):
, , Specific volume
Total volume
Initial mass of liquid
Initial volume of liquid
Cross-sectional area
Initial liquid level
2.Final State (State 2):
, is constant (rigid vessel) Final quality
Final mass of liquid
Final volume of liquid
Final liquid level
3.Dip in liquid level:
Rounding to 2 decimal places, we get .Continue learning with Success Tracker
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