Question

A Styrofoam cup holds 0.297 kg of water at 23.5°C. Find the final equilibrium temperature (in degrees Celsius) after a 0.153 kg block of aluminum at 85.1°C is placed in the water. Neglect any thermal energy transfer with the Styrofoam cup. The specific heats of water and aluminum are cwater = 4186 J (kg · °C) and cAl = 900 J (kg · °C) .

°C

Answer #1

Mass of water = m_{1} - 0.297 kg

Mass of the aluminium block = m_{2} = 0.153 kg

Initial temperature of the water = T_{1} = 23.5
^{o}C

Initial temperature of the aluminium block = T_{2} =
85.1 ^{o}C

Final equilibrium temperature = T_{3}

Specific heat of water = C_{1} = 4186
J/(kg.^{o}C)

Specific heat of aluminium = C_{2} = 900
J/(kg.^{o}C)

The heat lost by the aluminium block is equal to the heat gained by the water.

m_{1}C_{1}(T_{3} - T_{1}) =
m_{2}C_{2}(T_{2} - T_{3})

(0.297)(4186)(T_{3} - 23.5) = (0.153)(900)(85.1 -
T_{3})

1243.242T_{3} - 29216.187 = 11718.27 -
137.7T_{3}

1380.942T_{3} = 40934.457

T_{3} = 29.64 ^{o}C

Final equilibrium temperature = 29.64 ^{o}C

A 2.5 kg metallic block with an initial temperature of 80°C is
placed in a styrofoam cup containing 0.1 kg of ice at -15°C.
Assuming that no heat escapes from the cup what is the final
temperature of the metallic block? The specific heat of the metal
is 480 J/kg ∙ K, specific heat of ice is 2090 J/kg ∙ K, the latent
heat of fusion of water is 3.33 × 105 J/kg, and the specific heat
of water is...

The value of specific heat for copper is 390 J/kg⋅C∘, for
aluminun is 900 J/kg⋅C∘, and for water is 4186 J/kg⋅C∘.
What will be the equilibrium temperature when a 215 g block of
copper at 245 ∘C is placed in a 155 g aluminum calorimeter cup
containing 815 g of water at 16.0 ∘C?

The value of specific heat for copper is 390 J/kg⋅C∘, for
aluminun is 900 J/kg⋅C∘, and for water is 4186 J/kg⋅C∘ What will be
the equilibrium temperature when a 215 g block of copper at 245 ∘C
is placed in a 155 g aluminum calorimeter cup containing 875 g of
water at 12.0 ∘C?

The value of specific heat for copper is 390 J/kg⋅C∘, for
aluminun is 900 J/kg⋅C∘,and for water is 4186 J/kg⋅C∘.
What will be the equilibrium temperature when a 275 g block of
copper at 255 ∘C is placed in a 155 g aluminum calorimeter cup
containing 815 g of water at 16.0 ∘C?

The value of specific heat for copper is 390 J/kg?C?, for
aluminun is 900 J/kg?C?, and for water is 4186 J/kg?C?. What will
be the equilibrium temperature when a 215 g block of copper at 255
?C is placed in a 155 g aluminum calorimeter cup containing 875 g
of water at 16.0 ?C?

The value of specific heat for copper is 390 J/kg⋅C∘, for
aluminun is 900 J/kg⋅C∘, and for water is 4186 J/kg⋅C∘.
What will be the equilibrium temperature when a 215 g block of
copper at 255 ∘C is placed in a 155 g aluminum calorimeter cup
containing 845 g of water at 14.0 ∘C?
Express your answer using three significant figures.

The value of specific heat for copper is 390 J/kg⋅C∘, for
aluminun is 900 J/kg⋅C∘, and for water is 4186 J/kg⋅C∘.
What will be the equilibrium temperature when a 235 g block of
copper at 255 ∘C is placed in a 155 g aluminum calorimeter cup
containing 875 g of water at 15.0 ∘C?
Express your answer using three significant figures.

A student doing an experiment pours 0.500 kg of heated metal
whose temperature is 98.0 oC into a 0.356 kg aluminum
calorimeter cup containing 0.418 kg of water at 28.0 °C. The
mixture (and the cup) comes to thermal equilibrium at 38.0 °C. The
specific heat of the metal is ________ J/kg oC.
(specific heat of aluminum = 900 J/kg oC, specific heat
of water = 4186 J/kg oC)

A 500-g aluminum container holds 300 g of water. The water and
aluminum are initially at 40∘C. A 200-g iron block at 0∘C is added
to the water. Assume the specific heat of iron is 450 J/kg⋅∘C, the
specific heat of water 4180 J/kg⋅∘C and the specific heat of
aluminum is 900 J/kg⋅∘C
.
1Determine the final equilibrium temperature.
2.Determine the change in thermal energy of the aluminum
3.Determine the change in thermal energy of the water. 4.
Determine...

An insolated cup contains 1kg of water initially at 20 oC. 0.50
kg of ice, initially at 0 oC is added to the cup of water. The
water and ice are allowed to come to thermal equilibrium. The
specific heat of ice is 2000 J/kg oC, the specific heat of water
4186 J/kg oC, the latent heat of fusion of water is 33.5x104 J/kg.
What is the final temperature of the water?
(A) 0 oC
I know the answer is...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 5 minutes ago

asked 24 minutes ago

asked 24 minutes ago

asked 59 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago