Thermal Dynamics

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Thermal Dynamics
Thermal dynamics help needed please?

An 85m^3 rigid vessel contains 10 kg of water (both liquid and vapor in thermal equilibrium at a pressure of 0.01 MPa). Calculate the volume and mass of both the liquid and vapor. Thanks

The volume within the tank taken up by unheated water is

( 10 kg ) / ( 1000 kg / m³ ) = 0.01 m³

thus a significant volume within the 85 m³ vessel can be taken up by steam

85 m³ - 0.01 m³ = 84.99 m³

From the saturated steam table at:

http://www.engineeringtoolbox.com/saturated-steam-properties-d_457.html

Pressure 0.01 MPa = 0.1 bar

we obtain...

Specific volume (steam) = 14.675 m³ / kg

( 84.99 m³ ) / ( 14.675 m³ / kg ) = 5.79 kg (steam)

10 kg - 5.79 kg (steam) = 4.21 kg (water)

So lets reiterate the calculation one more time
4.21 kg (water) / ( 1000 kg / m³ ) = 0.00421 m³

85 m³ - 0.00421 m³ = 84.99579 m³

( 84.99579 kg ) / ( 14.675 m³ / kg ) = 5.79187 kg (steam)

Volume
liquid = 0.00421 m³
steam = 84.99579 m³

Mass
liquid = 4.21 kg
steam = 5.79 kg



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