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A nickel block that weighs 30 kg and with an initial
temperature of 200 ⁰C is dropped into an insulated tank that
contains 150 L of water at 25 ⁰C.

a. Briefly state what the definition of entropy is. [2
marks]

b. State two relevant assumptions for this question. [2
marks]

c. Calculate the final equilibrium temperature for this
system.

Assume that the density and specific heat of water at 25 ⁰C
are ρ= 997 kg/m3 and cp = 4.18 kJ/kg·⁰C. [10 marks]

d. Determine the total entropy change for this system. [9
marks]

An iron block of mass miron = 1 kg at a temperature of Tiron =
200°C is thrown in sub-cooled water of mass m at Twater = 25°C
enclosed in an insulated container. Calculate and plot in Excel or
in similar programs the entropy generated as a result of the heat
transfer process for a range of water mass values between 10 kg and
10,000 kg. (Please submit your Excel sheet or your computer program
with the homework.

A block of ice, mass 3.20 kg and initial temperature of -8
oC, is placed in an insulating container. 5.00 kg of
water at temperature 13 oC, is added to the container.
The water and ice exchange heat, but no other heat flows into or
out of the container.
In the process of the water and ice reaching equilibrium, how
much ice melts?
Give your answer in kg to three digits.
Note: It is possible that the answer is zero.

A 7.0-kg rock at a temperature of 30°C is dropped into a shallow
lake at 30°C from a height of 1.0×10^5 m. What is the resulting
change in entropy of the universe? (b) If the temperature of the
rock is 100°C when it is dropped, what is the change of entropy of
the universe? Assume that air friction is negligible (not a good
assumption) and that c=860J/kg·K is the specific heat of the
rock.

A copper block of mass 6.8 kg is originally at a temperature of
18°C and 1 atm. It is then heated to a temperature of 69°C without
any change in pressure. The specific heat of copper is 387 J/(kg ·
°C), its density is 8.94 103 kg/m3, and the coefficient of linear
expansion is 17 ✕ 10 −6 /°C.
(a) Determine the work done by the copper block. J
(b) How much heat energy is transferred during this process?
J...

IP A 1.4-kg block of ice is initially at a
temperature of -5.0 ∘C.
Part A
If 2.5×105 J of heat are added to the ice, what is
the final temperature of the system?
Part B
Find the amount of ice, if any, that remains.

A mass of 0.07 kg of air at a temperature of 30°C and pressure
100 kPa is compressed to a pressure of 600 kPa, according to the
law:
(i.e. Polytropic process, n=1.3). Determine:
i.The final volume
ii.The final temperature
iii.The work transfer
iv.The change in internal energy
v.The heat transfer

Block A weighs 445N and block B weighs 130N. The coefficient of
static friction between the inclined plane and block A is 0.565,
and the coefficient of kinetic friction is 0.258. The plane is
inclined at the angle θ = 42.0. (a) Find the acceleration of the
system if A is initially at rest. (b) Find the acceleration of the
system if A is initially moving up the incline. (c) What is the
acceleration of the system if A is...

Block A weighs 445N and block B weighs 130N. The coefficient of
static friction between the inclined plane and block A is 0.565,
and the coefficient of kinetic friction is 0.258. The plane is
inclined at the angle θ = 42.0. (a) Find the acceleration of the
system if A is initially at rest. (b) Find the acceleration of the
system if A is initially moving up the incline. (c) What is the
acceleration of the system if A is...

A 1.50-kg block is on a frictionless, 30 degrees inclined plane.
The block is attached to a spring (k = 40.0N/m ) that is
fixed to a wall at the bottom of the incline. A light string
attached to the block runs over a frictionless pulley to a 60.0-g
suspended mass. The suspended mass is given an initial downward
speed of 1.40m/s. How far does it drop before coming to rest?
(Assume the spring is unlimited in how far it...

A rod made of nickel with a mass of 0.80 kg is heated to 850°C,
then dropped into 7.00 kg of water at 11°C. What is the total
change in entropy (in J/K) of the rod-water system, assuming no
energy is lost by heat from this system to the surroundings? The
specific heat of nickel is 440 J/(kg · K), and the specific heat of
water is 4,186 J/(kg · K). (Hint: note that
dQ = mcdT.)

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