Find the phase and the missing properties of p, t, v, u, and x for water at1. 500 kpa, 100°c2. 5000 kpa, h = 1800 kj/kg3. 5000 kpa, u = 2950 kj/kg4. −6°c, v = 1 m3/kg.

Respuesta :

1) The missing properties are [tex]\nu = 0.001093\,\frac{m^{3}}{kg}[/tex], [tex]u = 639.54\,\frac{kJ}{kg}[/tex] and [tex]h = 640.59\,\frac{kJ}{kg}[/tex]. (Subcooled liquid)

2) The missing properties are [tex]T = 263.94\,^{\circ}C[/tex], [tex]\nu = 0.0163\,\frac{m^{3}}{kg}[/tex], [tex]u = 1719\,\frac{kJ}{kg}[/tex] and [tex]x = 0.394[/tex]. (Liquid-gas mix)

3) The missing properties are [tex]T = 422.825\,^{\circ}C[/tex], [tex]\nu =0.0603\,\frac{m^{3}}{kg}[/tex] and [tex]u = 3251.7\,\frac{kJ}{kg}[/tex]. (Superheated steam)

4) The missing properties are [tex]P = 0.36873\,kPa[/tex], [tex]u = -337.836\,\frac{kJ}{kg}[/tex], [tex]h = -337.458\,\frac{kJ}{kg}[/tex] and [tex]x = 2.988\times 10^{-3}[/tex]. (Solid-gas mix)

How to determine the phase of water based on information from steam tables

In this question we must determine the phase associated to the given pressure ([tex]p[/tex]), in kilopascals, temperature ([tex]T[/tex]), in degrees Celsius, specific volume ([tex]\nu[/tex]), in cubic meters per kilogram, internal energy ([tex]u[/tex]), in kilojoules per kilogram, enthalpy ([tex]h[/tex]), in kilojoules per kilogram, or quality ([tex]x[/tex]), no unit.

1) Pressure - 500 kPa, Temperature - 100 °C

By steam tables we know that saturation temperature associated with pressure is 151.83 °C, which means that water is a subcooled liquid and quality does not apply herein.

The missing properties are summarized below:

[tex]\nu = 0.001093\,\frac{m^{3}}{kg}[/tex], [tex]u = 639.54\,\frac{kJ}{kg}[/tex], [tex]h = 640.59\,\frac{kJ}{kg}[/tex]

The missing properties are [tex]\nu = 0.001093\,\frac{m^{3}}{kg}[/tex], [tex]u = 639.54\,\frac{kJ}{kg}[/tex] and [tex]h = 640.59\,\frac{kJ}{kg}[/tex]. (Subcooled liquid) [tex]\blacksquare[/tex]

2) Pressure - 5000 kPa, Specific enthalpy - 1800 kJ/kg

By steam tables we know that water is a mix of gaseous and liquid phases. Hence, the missing properties are summarized below:

[tex]T = 263.94\,^{\circ}C[/tex], [tex]\nu = 0.0163\,\frac{m^{3}}{kg}[/tex], [tex]u = 1719\,\frac{kJ}{kg}[/tex], [tex]x = 0.394[/tex]

The missing properties are [tex]T = 263.94\,^{\circ}C[/tex], [tex]\nu = 0.0163\,\frac{m^{3}}{kg}[/tex], [tex]u = 1719\,\frac{kJ}{kg}[/tex] and [tex]x = 0.394[/tex]. (Liquid-gas mix) [tex]\blacksquare[/tex]

3) Pressure - 5000 kPa, Internal energy - 2950 kJ/kg

By steam tables we know that water is a superheated steam. Hence, missing properties are summarized below:

[tex]T = 422.825\,^{\circ}C[/tex], [tex]\nu =0.0603\,\frac{m^{3}}{kg}[/tex], [tex]u = 3251.7\,\frac{kJ}{kg}[/tex]

The missing properties are [tex]T = 422.825\,^{\circ}C[/tex], [tex]\nu =0.0603\,\frac{m^{3}}{kg}[/tex] and [tex]u = 3251.7\,\frac{kJ}{kg}[/tex]. (Superheated steam) [tex]\blacksquare[/tex]

4) Temperature - -6°C, Specific volume: 1 m3/kg

By ice tables we know that properties correspond to a mix of solid and gaseous phases. Thus, missing properties are summarized below:

[tex]P = 0.36873\,kPa[/tex], [tex]u = -337.836\,\frac{kJ}{kg}[/tex], [tex]h = -337.458\,\frac{kJ}{kg}[/tex], [tex]x = 2.988\times 10^{-3}[/tex]

The missing properties are [tex]P = 0.36873\,kPa[/tex], [tex]u = -337.836\,\frac{kJ}{kg}[/tex], [tex]h = -337.458\,\frac{kJ}{kg}[/tex] and [tex]x = 2.988\times 10^{-3}[/tex]. (Solid-gas mix) [tex]\blacksquare[/tex]

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