Question
In: Physics
Two identical objects, A and B, are thermally and mechanically isolated from the rest of the...
Two identical objects, A and B, are thermally and mechanically
isolated from the rest of the world. Their initial temperatures are
TA > TB. Each object has heat capacity C (the same for both
objects) which is independent of temperature.
(a) Suppose the objects are placed in thermal contact and allowed
to come to thermal equilibrium. What is their final temperature?
How much entropy is created in this process? How much work is done
on the outside world in this process?
(b) Instead, suppose objects A (temperature TA) and B (temperature TB < TA) are used as the high and low temperature heat reservoirs of a heat engine. The engine extracts energy from object A (lowering its temperature), does work on the outside world, and dumps waste heat to object B (raising its temperature). When the temperatures of A and B are the same, the heat engine is in the same state as it started and the process is finished. Suppose this heat engine is the most efficient heat engine possible. In other words, it performs the maximum work possible. What is the final temperature of the objects? How much entropy is created in this process? How much work is done on the outside world in this process?
Solutions
genius_generous answered 1 year agoRelated Solutions
Two identical objects, A and B, are thermally and mechanically isolated from the rest of the...
Two identical objects, A and B, are thermally and mechanically
isolated from the rest of the world. Their initial temperatures are
TA > TB. Each object has heat capacity C (the same for both
objects) which is independent of temperature. (a) Suppose the
objects are placed in thermal contact and allowed to come to
thermal equilibrium. What is their final temperature? How much
entropy is created in this process? How much work is done on the
outside world in this...
Two objects, A and B, are released from rest in free space (no other masses are...
Two objects, A and B, are released from rest in free space (no
other masses are near). Object A has a greater mass than object B.
They accelerate toward each other under the action of their mutual
gravitational attraction.
a. On which object is the greater work done?
b. At the instant just before they hit, which object will have
the momentum with the greatest magnitude?
c. At the instant just before they hit, which object will have
the greater...
Consider two boxes of ideal gas. The boxes are thermally isolated from the world, and initially...
Consider two boxes of ideal gas. The boxes are thermally
isolated from the world, and initially from each other as well.
Each box holds N molecules in volume V. Box #1 starts with
temperature Ti,1 while #2 starts with Ti,2.
(The subscript “i” means “initial,” and “f” will mean “final.”) So,
the initial total energies are Ei,1 =
(3/2)NkBTi,1 and Ei,2 =
(3/2)NkBTi,2.
Now we put the boxes into thermal contact with each other, but
still isolated from the rest...
1.) Identical objects are located at the same distance from two spherical mirrors, A and B....
1.) Identical objects are located at the same distance from two
spherical mirrors, A and B. The magnifications produced by the
mirrors are mA = 3.6 and mB
= 2.1. Find the ratio fA/fB
of the focal lengths of the mirrors.
2.) A tall tree is growing across a river from you. You would
like to know the distance between yourself and the tree, as well as
its height, but are unable to make the measurements directly.
However, by using...
Suppose that the Earth was thermally insulated from the rest of the universe so that it...
Suppose that the Earth
was thermally insulated from the rest of the universe so that it
was an isolated system. Describe the entropy of the Earth as a
function of time.
Consider taking two
identical ice cubes out of the freezer. You place one in a cup and
let it melt; you take the other and smash it with a hammer and then
put it in an identical cup and allow it to melt. Compare the
entropy changes of the...
In an inertial reference frame S, two objects A and B of equal rest mass m...
In an inertial reference frame S, two objects
A and B of equal rest mass m collide
head on with equal but opposite velocities 4c/5 and stick
together to form a final object C. In a different inertial
reference frame S’, one object A is seen to be
initially at rest.
(a) Determine the rest mass of the final object C by
applying appropriate conservation laws in the S frame.
(b) What is the velocity of the moving object B...
1) Two small, identical objects have charges of 6 μC and -3 μC. If the objects are...
1) Two small, identical objects have charges of 6 μC
and -3 μC. If the objects are 13 cm apart, what is the electric
force the objects exert on each other? (in N)
- 7.99x10^5
- 9.59
- 4.79
- 1.20
- 3.20x10^6
2) Now imagine that the two small, identical objects with
charges of 6 μC (Object A) and -3 μC (Object B) are CONDUCTORS. If
the objects are brought together so they touch, then separated,
what is the amount...
Steam expands in a thermally isolated turbine steadily. The inlet pressure is 1MPa and temperature is...
Steam expands in a thermally isolated turbine steadily.
The inlet pressure is 1MPa and temperature is 800 C, and the
exit state is 300 kPA and 150 C.
a- Determine the power generated by the turbine per unit mass
flow rate of steam.
b- Evaluate the entropy generation rate per unit mass flow rate
of steam and drive a conclusion whether the turbine operates
reversibly, irreversibly or the operation is impossible.
In a thermally isolated mixing chamber cold water at 50oC and 1MPa is heated steadily by...
In a thermally isolated mixing chamber cold water at 50oC and
1MPa is heated steadily by a steam at 200oC and 1MPa. The mixture
leaves the chamber at 150oC.
1.mass ratio of the hot and cold streams
2 entropy generation rate per unit cold water mass flow rate
There is a __________ between two identical objects that have been charged in the same way....
There is a __________ between two identical objects that have
been charged in the same way. Choose one from below and explain. a)
short range repulsive force b) short range attractive force c) long
range repulsive force d) long range attractive force
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