Answer:
Explanation:
Mass of water and vapor = 10 kg
Mass of liquid water = 8 kg
Mass of vapor (gas) = 2 kg
temperature = 90⁰c + 273.15 k = 363.15 k
To calculate the volume of the tank you will need to add the volume of liquid water and the volume of vapor ( gas )
using: specific volume of liquid water : 0.001036 m³/kg
specific volume of vapor ( gas ) : 2.3593 m³/kg
specific volume = volume / mass
hence volume = specific volume * mass
volume of liquid water = 0.001036 * 8 = (8.288 *10³ m³)
volume of vapor = 2.3593 * 2 = ( 4.7136 m³ )
Hence the volume of the tank = 8.288*10³ + 4.7136 = 4.72688 m³
To calculate the pressure in tank you will calculate the pressure been exerted by the vapor in the tank
this can be achieved by treating the vapor as an ideal gas
specific heats vapor at temperature at 90⁰c
Cv = 1.45 kg/kg k
Cp = 1.885 kg/kg k
in an ideal gas situation ( Cp - Cv ) = R = ( 1.885 - 1.45 ) = 0.435 kg/kg k
using the ideal gas equation
PₓVₓ = MₓRT
P = pressure
V = volume of vapor = 4.7136
R = 0.435
T = 363.15 K
M = 2 kg
therefore Pₓ = MₓRT / Vₓ
= (2 * 0.435 * 363.15) / 4.7136
= 66.95 kpa
