Question

Steam is contained in a closed rigid container with a volume of 2 m3 . Initially, the pressure and the temperature of the steam are 7 bar and 400°C, respectively. The temperature drops as a result of heat transfer to the surroundings. i. Determine the temperature at which the condensation first occurs in °C. [6 marks] ii. Evaluate the fraction of the total mass that has condensed when the pressure reaches 0.75 bar. [4 marks] iii. Calculate the volume in m3 , occupied by saturated liquid at the final state. [4 marks] iv. Show the process on the P - v (pressure – specific volume) diagram with respect to saturation lines.

Answer #1

Steam is contained in a closed rigid container with a volume of
2 m3 . Initially, the pressure and the temperature of the steam are
7 bar and 400°C, respectively. The temperature drops as a result of
heat transfer to the surroundings. i. Determine the temperature at
which the condensation first occurs in °C. [6 marks] ii. Evaluate
the fraction of the total mass that has condensed when the pressure
reaches 0.75 bar. [4 marks] iii. Calculate the volume in...

A rigid container with a volume of 2 m3 initially contains 0.05
m3 of liquid and 1.95 m3 of vapor at 125 kPa. Heat is transferred
from a 3000C source to the contents of the vessel until the
pressure in the container reaches 4 MPa. The contents of the vessel
are now cooled in a surrounding temperature of 250C until the
contents reach its initial state.
Determine total entropy generated (Sgen) during the cycle.

A gas contained in a closed rigid container is heated from
initial temperature and pressure of 270C and 2 bar to a
final pressure of 12 bar. Calculate final temperature, Work done,
Heat transfer and change in Internal Energy. (Take
Cv as 0.873 kJ/kg K. and Mass of the gas =
1kg)

A rigid container of volume 1 m3 contains saturated water at 1Mpa.
If the quality is 0.10, what is the volume occupied by the
vapor?

Water, initially saturated vapor at 14.6 bar, fills a closed,
rigid container. The water is heated until its temperature is
200°C. For the water, determine the heat transfer, in kJ/kg.
Kinetic and potential energy effects can be ignored.

A 1.2 m3 rigid tank initially contains steam at 8 MPa and 400
◦C. The steam slowly comes out through a hole at the bottom until
the pressure drops to P0 while
keeps the temperature constant. Making the pertinent considerations
determines:
a) the heat transferred, in kJ when P0 = 2 MPa.
b) graph the heat transfer, in kJ, versus P0 from 0.5 to 8.0
MPa

Three kilograms (3.0 kg) of saturated steam at 162oC is held in
a closed piston-cylinder apparatus with a weighted piston that
exerts a constant force on the steam. The piston-cylinder apparatus
loses energy to the surroundings such that at a certain point 50%
of the steam has condensed to a saturated liquid inside the
cylinder (NOTE: the vapor and liquid are still saturated at the new
condition).
a. For the process described above, determine the heat exchange
with the surroundings....

Air is contained in a rigid, well-insulated container
of volume 3 m3. The air undergoes a process from
an initial state with a pressure of 200 kPa and temperature of 300
K. During the process, the air
receives 720 kJ of work from a paddle wheel. Model the air as an
ideal gas with constant specific
heats. Evaluate the specific heats at 300 K. Neglect changes in
kinetic energy and potential energy.
Determine the mass of the air in kg,...

Consider 1 kilogram of saturated water at 70 degrees celsius in
a closed and rigid container which is heated to steam (superheated
water) at 300 degrees celsius and 5 MPa by adding 1500 kJ of
heat.
a) What is the fraction of vapour and liquid at the initial
state?
b) What is the work done as a result of the heating process?

An initially empty, well insulated, rigid tank with a volume of
2 m3 is fitted with a mixing device. The tank has two inlets and
zero outlets. One inlet is water at 1 MPa and 600◦C while the other
is saturated liquid water. Both enter the tank slowly. If the
amount of work done by the mixing device is 300 kJ, what must the
temperature of the saturated liquid water be if the same mass is
added through both inlets...

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