Question

A sphere of iron is heated up to 1000° C. Once heated, it has a radius of 1 cm.

Now suppose that we take the same 1000° C iron sphere and plunge it into a thermally insulated container with 1kg of 0° C ice. Calculate the temperature of the contents of the container once they have come to thermal equilibrium.

Additional information: • The density of iron is 7.874 g/cm3. Assume that this density does not depend on temperature. • The specific heat of iron is 462 J/kg K. • The latent heat of fusion for water is 3.33×105 J/kg. • The specific heat of liquid water is 4.19 J/g.

Answer #1

What mass of steam at 100°C must be mixed with 216 g of ice at
its melting point, in a thermally insulated container, to produce
liquid water at 65.0°C? The specific heat of water is 4186 J/kg·K.
The latent heat of fusion is 333 kJ/kg, and the latent heat of
vaporization is 2256 kJ/kg.

What mass of steam at 100°C must be mixed with 162 g of ice at
its melting point, in a thermally insulated container, to produce
liquid water at 71.0°C? The specific heat of water is 4186 J/kg·K.
The latent heat of fusion is 333 kJ/kg, and the latent heat of
vaporization is 2256 kJ/kg.

What mass of steam at 100°C must be mixed with 260 g of ice at
its melting point, in a thermally insulated container, to produce
liquid water at 73.0°C? The specific heat of water is 4186 J/kg·K.
The latent heat of fusion is 333 kJ/kg, and the latent heat of
vaporization is 2256 kJ/kg

An 890-g iron block is heated to 370 ∘C and placed in an
insulated container (of negligible heat capacity) containing 35.0 g
of water at 20.0 ∘C.
What is the equilibrium temperature of this system? The average
specific heat of iron over this temperature range is 560
J/(kg⋅K).
Answer in ∘C.
I have already tried 109 ∘C and 110 ∘C, so I don't know what I'm
doing wrong. :(

Chapter 18, Problem 041
(a) Two 58 g ice cubes are dropped into 410 g
of water in a thermally insulated container. If the water is
initially at 20°C, and the ice comes directly from a freezer at
-11°C, what is the final temperature at thermal equilibrium?
(b) What is the final temperature if only one ice
cube is used? The specific heat of water is 4186 J/kg·K. The
specific heat of ice is 2220 J/kg·K. The latent heat of...

A 25 g ice cube at -15.0oC is placed in 169 g of
water at 48.0oC. Find the final temperature of the
system when equilibrium is reached. Ignore the heat capacity of the
container and assume this is in a calorimeter, i.e. the system is
thermally insulated from the surroundings. Give your answer in
oC with 3 significant figures.
Specific heat of ice: 2.090 J/g K
Specific heat of water: 4.186 J/g K
Latent heat of fusion for water: 333...

A 16 g ice cube at -15.0oC is placed in 140 g of
water at 48.0oC. Find the final temperature of the
system when equilibrium is reached. Ignore the heat capacity of the
container and assume this is in a calorimeter, i.e. the system is
thermally insulated from the surroundings. Give your answer in
oC with 3 significant figures.
Specific heat of ice: 2.090 J/g K
Specific heat of water: 4.186 J/g K
Latent heat of fusion for water: 333...

( A = 18, B = 93). A (10.0+A) g ice cube at -15.0oC
is placed in (125+B) g of water at 48.0oC. Find the
final temperature of the system when equilibrium is reached. Ignore
the heat capacity of the container and assume this is in a
calorimeter, i.e. the system is thermally insulated from the
surroundings. Give your answer in oC with 3 significant
figures.
Specific heat of ice: 2.090 J/g K
Specific heat of water: 4.186 J/g K...

A = 13 B = 27
A (10.0+A) g ice cube at -15.0oC is placed in (125+B)
g of water at 48.0oC. Find the final temperature of the
system when equilibrium is reached. Ignore the heat capacity of the
container and assume this is in a calorimeter, i.e. the system is
thermally insulated from the surroundings. Give your answer
inoC with 3 significant figures.
Specific heat of ice: 2.090 J/g K Specific heat of water: 4.186
J/g K Latent heat...

A 24 g block of ice is cooled to −63◦C. It is added
to 572 g of water in a 98 g copper calorimeter at a temperature of
30◦C.
Find the final temperature. The specific heat of copper is 387
J/kg ·◦C and of ice is 2090 J/kg ·◦C. The
latent heat of fusion of water is 3.33 × 105 J/kg and its specific
heat is 4186 J/kg·◦C.
Answer in units of ◦C.

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