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**1. A pressure vessel of volume 100 liters is filled with 1 kg of liquid water and 80 liters of steam with a specific volume of 0.02 m3/kg. Determine**

a. The density of the liquid water in SI fundamental units

b. The mass of the steam in grams

c. The density and the specific volume of the system (liquid water + steam)

a. The density of the liquid water in SI fundamental units

b. The mass of the steam in grams

c. The density and the specific volume of the system (liquid water + steam)

## Homework Equations

[tex]Specific\ Volume = \nu = \frac{1}{\rho} = \frac{V}{m}[/tex]

## The Attempt at a Solution

Basically, I am unsure about the assumptions that should be made for part A only. The vessel is 100 L and is filled with 1 kg of liquid water and 80L of steam. Is it correct of me to assume that the entire vessel is filled? So therefore.. (Since 20L = 0.02 cubic meters)

[tex]\rho_{water} = \frac{m}{V} = \frac{1kg}{0.02m^3} = 50\frac{kg}{m^3}[/tex]

Does this sound right to you guys? Part B would be solved in a similar manner using the specific volume of steam that is given, and part C I am assuming you would do something like this..

[tex]\rho_{system} = \frac{m_{water + steam}}{V_{system}}[/tex]