GATE ME 2026 Set 1 — Question 57

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NAT+2 / -0HardPure Substances & Phase ChangeLaws & PropertiesThermodynamics

Thermodynamics → Laws & Properties → Pure Substances & Phase Change

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Question

A rigid closed vertical cylindrical vessel of 15 cm15 \text{ cm} diameter contains 5 kg5 \text{ kg} water at 80 C80 \text{ }^\circ\text{C} with 10%10\% quality. The water is heated till its temperature reaches 130 C130 \text{ }^\circ\text{C}. 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.
Temperature TT (C^\circ\text{C})Specific volume vfv_f (m3/kg\text{m}^3/\text{kg})Specific volume vgv_g (m3/kg\text{m}^3/\text{kg})Specific internal energy ufu_f (kJ/kg\text{kJ/kg})Specific internal energy ugu_g (kJ/kg\text{kJ/kg})
800.0010293.4053334.972481.60
1300.0010700.66808546.102539.50
T,v,T, v, and uu are temperature, specific volume, and specific internal energy, respectively. Subscripts ff and gg represent saturated liquid and saturated vapor, respectively.
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