Question

Consider two blocks. The initial temperature of block 1 is 280 K and the initial temperature of block 2 is 340 K. The heat capacities of blocks 1 and 2 are 400 J/K and 200 J/K, respectively.

A. The two blocks are placed in thermal contact with one another but are perfectly insulated from the remainder of their surroundings. We will call the process that begins when the blocks are brought in contact with one another process A.

Determine the final temperature of the two block- The final temperature is 300 K

**1. Is process A allowed by the first law of
thermodynamics? Explain your reasoning.
2. What is the total change in entropy of the two-block system
during process A?**

Answer #1

Two copper blocks, each of mass 1.74 kg, initially have
different temperatures,t1 = 18° C and
t2 = 30° C. The blocks are placed in contact
with each other and come to thermal equilibrium. No heat is lost to
the surroundings.
(a) Find the final temperature of the blocks.
°C
Find the heat transferred between them.
J
(b) Find the entropy change of each block during the time interval
in which the first joule of heat flows.
?S1
= J/K...

Consider an isolated system containing two blocks of copper with
equal mass. One block is initially at 0oC while the other is at
100oC.They are brought into contact with each other and allowed to
thermally equilibrate. What is the entropy change for the system
during this process? The heat capacity for copper is Cp =
24.5 [J/mol k]

A 41.6 g block of copper whose temperature is 372 K is placed in
an insulating box with a 59.3 g block of lead whose temperature is
146 K. (a) What is the equilibrium temperature of
the two-block system? (b) What is the change in
the internal energy of the two-block system between the initial
state and the equilibrium state? (c)What is the
change in the entropy of the two-block system? The heat capacities
of copper and lead are 386...

A 16.2 g block of copper whose temperature is 417 K is placed in
an insulating box with a 122 g block of lead whose temperature is
103 K. (a) What is the equilibrium temperature of the two-block
system? (b) What is the change in the internal energy of the
two-block system between the initial state and the equilibrium
state? (c) What is the change in the entropy of the two-block
system? The heat capacities of copper and lead are...

Consider an ideal gas of 0.2 mole of argon atoms with an initial
volume of 0.8 liter (8*10-4 m 3 ) and a temperature of 300 K.
a) The gas is thermally isolated and allowed to expand
adiabatically to a final volume of 1 liter (10-3 m^3 ). How does
the entropy of the gas change? Please provide your reasoning.
b) Find the final temperature, ?? , of the gas after its
adiabatic expansion.
c) With the gas at the...

A cooper block having a mass of 10 kg and at a temperature of
800 K is placed in a well-insulated vessel containing 100 kg of
water initially at 290 K. Calculate:
a) Calculate the entropy change for the block, the water, and
the total process.
b) What is the maximum amount of work that could have been
obtained from the copper block and water in a Carnot engine? The
heat capacities are 4.185 kJ/kg/K for water and 0.398 kJ/kg/K...

Consider two bodies with temperature independent heat capacities
C1 and C2, and initial temperatures T1 > T2.
(a) If the two bodies are brought into contact such that the
only heat exchange is between them, what is the final temperature
Tfinal , and what is the change in entropy.
(b) Suppose instead that the difference in temperature between
the two bodies is used to drive an ideal heat engine (Carnot
cycle). In one operation of the cycle some amount of...

Two objects, A and B, are brought into contact with each other.
The initial temperature of object A is 230 K. The heat capacity of
object A is a constant 3 J/K and the heat capacity of object B is a
constant 4 J/K. Through the exchange of heat the two objects
eventually obtain a common nal temperature of 320 K.
1)The initial temperature of object B was ____ K.
2) The amount of heat exchanged during the process of...

3. Two moles of an ideal gas
at an initial temperature of 400 K are confined to a volume of 40.0
L. The gas then undergoes a free expansion to twice its
initial volume. The container in which this takes place
is insulated so no heat flows in or out. (1 Liter =
10-3
m3) R = 8.314 J/(mole
K)
a) What is the entropy change
of the gas? (15 points)
b) What is the entropy change
of the universe? (10 points)

A 4.2-kg block of ice originally at 263 K is placed in thermal
contact with a 13.4-kg block of silver (cAg = 233
J/kg-K) which is initially at 1075 K. The H2O - silver
system is insulated so no heat flows into or out of it.
1) At what
temperature will the system achieve equilibrium?
2)
What will be the
phase of the H2O at equilibrium?
Solid (ice)
Liquid (water)
Gas (vapor)

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