A cooler contains 1 kg of ice at -5°C. 2 kg of water at 50°C is...
A cooler contains 1 kg of ice at -5°C. 2 kg of water at 50°C is
added to the cooler. If the cooler does not exchange any heat with
the rest of the world, what is the final temperature of the ice and
water?
1.45 kg of ice at -5
∘C is dropped into 31
kg of water at temperature 15.3
∘C .
Part A - Final Temperature
What is the final temperature of the system? (If I've set the
problem up right, you should be given numbers such that all of the
ice has melted.)
Tf =
∘C
Part B - Entropy of Warming Ice
What is the change in entropy of the ice, as it warms up before
melting?
S =
J/K
Part C - Entropy...
A vessel initially contains 5.0 kg of liquid water and 2.0 kg of
ice at 0 C. Energy is added until the ice has just melted. The
temperature at the boundary where heat transfer occurs is taken to
be the system temperature during the process. The enthalpy of
melting ice is 333.5 kJ/kg. Consider the following processes used
to melt the ice.
a.) Heat is added to from the environment at 20 C. Determine the
entropy flux and the total...
A boater dumps 2.00 kg of ice from a cooler into the lake at the
end of a fishing trip. The ice is at a temperature of -8.00 oC and
the lake water is at 15.0 oC. What is the change in entropy of the
lake-ice cube system after the ice comes into equilibrium with the
lake? Hint: the lake is very large.
0.7 kg of ice at 0 ◦C and 3 kg of water at Ti are brought into
thermal contact in an iso- lated container. All the ice melts, and
the mixture reaches an equilibrium temperature of 10 ◦C.
(a) (5 points) Determine the initial temperature Ti of the
liquid water.
(b) (1 point) Determine the entropy change ∆S_melt associated
with this amount of ice melting.
(c) (3 points) Determine the entropy change ∆S_coolwater
associated with the decreasing temperature of the...
A piston–cylinder device contains 5 kg of steam at 100°C with
a quality of 50 percent. This steam undergoes two processes as
follows: (1-2) Heat is transferred to the steam in a reversible
manner while the temperature is held constant until the steam
exists as a saturated vapor.(2-3) The steam expands in an
adiabatic, reversible process until the pressure is 15 kPa. Sketch
these processes with respect to the saturation lines on a single TS
diagram and determine the heat...
A closed rigid tank contains 2 kg of water at 80 C and
quality of 0.5815. The tank is then heated until it contains
only
saturated vapor. How much heat (in kJ) is added to reach this
condition? Include a drawing and plot the process on a P-V
diagram.
Organize the solution as
Given and drawing:
Assumptions:
First Law Analysis:
Solution:
PV diagram:
An ice cube tray contains enough water at 29.0°C to make 20 ice
cubes that each has a mass of 30.0 g. The tray is placed in a
freezer that uses as a refrigerant. The heat of
vaporiztion of is 158 J/g. What mass of must
be vaporized in the refrigeration cycle to convert all the water at
29.0°C to ice at –5.0°C? The heat capacities
for and are 2.03 J/g·°C and 4.18 J/g·°C,
respectively, and the enthalpy of fusion for ice is 6.02
kJ/mol....
An iron boiler of mass 180 kg contains 730 kg of water at 11 ∘C.
A heater supplies energy at the rate of 58,000 kJ/h. The specific
heat of iron is 450 J/kg⋅C∘, the specific heat of water is 4186
J/kg⋅C∘, the heat of vaporization of water is 2260 kJ/kg⋅C∘. Assume
that before the water reaches the boiling point, all the heat
energy goes into raising the temperature of the iron or the steam,
and none goes to the vaporization...
A 116-g cube of ice at 0 ∘∘C is dropped into 1.26 kg of water
that was originally 84.1∘C. What is the final temperature of the
water after the ice melts and the water comes to thermal
equilibrium? This problem requires a lot of algebra. You will make
fewer errors if you solve for the answer using symbols and then
plug in the numbers. The specific heat of water and the latent heat
of fusion for water are given in...