A container contains water at 100 kPa. The specific volume of the water inside the container...

A container contains water at 100 kPa. The specific volume of the water inside the container is 1.00 m3/kg. What is the quality (x) of the water in the container, as a percentage and what is the phase of the water in the container?

Expert Solution

At 100 kPa, from saturated steam tables,

Specific volume of saturated liquid water = 1.043 *10^-3 m³/Kg

Specific volume of saturated water vapour = 1.694 m³/Kg

But given that the specific volume of water in the container = 1 m³/Kg

This volume lies between saturated vapour and saturated liquid water. Thus the container has water in both, liquid and vapour, phase.

Basis : 1 Kg of water in the container. Let 'x' be the mass of liquid and '1-x' becomes mas of vapour.

Volume of total water in the container = Mass * Speccific volume = 1*1 = 1 m³

Volume of total water in the container = Volume contributed by liquid + Volume contributed by vapour

1 = specific volume of liquid * mass of liquid + specific volume of vapour * mass of vapour

1 = 1.043*10^-3*x + 1.694*(1-x)

x = 0.4099 Kg

Mass of liquid water = 0.4099 Kg

Mass of water vapour = 1 - 0.4099 = 0.5901 Kg

Mass percent of liquid water (Quality) = (Mass of liquid water / Total mass of water)*100 = (0.4099/1)*100 = 40.99%

Amanda K answered 2 years ago

A fixed-mass system contains water (H20) in a rigid (fixed-volume) container. The mass of the water...

A fixed-mass system contains water (H20) in a rigid (fixed-volume) container. The mass of the water is mass, m= 1.805719781 kgs. A process occurs having the following initial and final thermodynamic properties. Initial Pressure: P1 = 1000kPa Initial Temperature: T1 = 600 oC Final Temperature: T2 = 140 oC Determine the following: (Neglect changes in kinetic and potential energy) 1. 1W2 (work done on.by the system, in kJoules) 2. 1Q2 (heat transfer to/from the system, in kJoules) 3. (S2 - S1)sys...

20 liters of water at 20 bar and 100 °C are in a variable volume container....

20 liters of water at 20 bar and 100 °C are in a variable volume container. 56,000 kJ of heat are added to the system at constant pressure which causes an increase in both temperature and volume. Draw a schematic of the process Write the energy balance for this process and clearly state any assumptions: What is the final volume of the container? How much work in [kJ] is completed? Pay careful attention to your negative signs! In one sentence...

An adiabatic rigid container, holding water initially at 100 kPa and 20oC, receives 209kJ/kg of paddle...

An adiabatic rigid container, holding water initially at 100 kPa and 20oC, receives 209kJ/kg of paddle work. Determine the final temperature.

A 200 litre tank initially contains water at 100 kPa and a quality of 1%. Heat...

A 200 litre tank initially contains water at 100 kPa and a quality of 1%. Heat is transferred to the water, thereby raising its pressure and temperature. At a pressure of 2 MPa, a safety valve opens, and saturated vapour at 2 MPa flows out. The process continues, maintaining 2 MPa inside until the quality in the tank is 90%, then stops. Determine the total mass if water that flowed out and the total heat transfer. *I’ve seen others have...

A system contains H2O at P=150 kPa, v= 1.5 m^3 and a specific volume of 0.5...

A system contains H2O at P=150 kPa, v= 1.5 m^3 and a specific volume of 0.5 m^3/kg (state 1). It is heated at constant volume until the temperature reacues 160 celcius What is the temperature at state 1 ?

1)Consider water at 500 kPa and a specific volume of 0.2 m3/kgm3/kg. What is the temperature...

1)Consider water at 500 kPa and a specific volume of 0.2 m3/kgm3/kg. What is the temperature (in °C)? 2)Consider water at 500 kPa and a specific volume of 0.2 m3/kgm3/kg. What is the quality (on a 0 to 1 scale)? 3)Consider water at 1400 kPa and 200°C. What is the specific volume (in m3/kgm3/kg)?

Saturated water vapor at 1000 kPa is throttled to 100 kPa. The velocity of the steam...

Saturated water vapor at 1000 kPa is throttled to 100 kPa. The velocity of the steam remains constant through the process. Determine the exit temperature of the water vapor. I know this is already awnsered in a solution for 1st edition but can someone help me understand what they do and how they picked the numbers they did from some table to get the exit temperature?

. Inside of a calorimeter (insulated container) is placed 200g of water at 20°C. The lid...

. Inside of a calorimeter (insulated container) is placed 200g of water at 20°C. The lid of the calorimeter is briefly lifted and 50g of lead is added initially at 200°C. What is the thermal equilibrium temperature? (3pts) 10. An object of mass 50kg is pushed in the +x direction with a force of 40N flat along a horizontal surface causing a net acceleration of 0.15m/s2 in the +x direction. What is the coefficient of kinetic friction between the surface...

A rigid container whose volume can be varied with the use of a piston contains 2.53...

A rigid container whose volume can be varied with the use of a piston contains 2.53 mol H2 gas at STP. (a) What is the volume of the gas? _____L (b) The container is cooled to 209 K. The piston is held fixed so the volume does not change. What is the new pressure inside the container? ____atm (c) The temperature of the container is held at 209 K and 1.55 mol He gas is added to the container. The...

A closed container with a volume of 2 m3 contains 4 kg of saturated liquid and...

A closed container with a volume of 2 m3 contains 4 kg of saturated liquid and saturated steam mixture water at 200 kPa pressure. Heat is given from the ambient temperature of 160⁰C until the water in the container is completely saturated. Note: T (K) = 273 + ºC a) Find the entropy change of the system. b) Find the heat transfer to the container. c) Find the total entropy change.

Question