Question

Suppose you pour 0.250 kg of water at 20.0 ° C (about one cup) in a 0.500 kg aluminum tray out of the oven at a temperature of 150 ° C. Suppose no transfer of heat occurs to anything else: the tray is placed on an insulated platform, and the transfer of heat to the air is neglected in the short time necessary to reach equilibrium. Also assume that a negligible amount of water boils. (a) What is the temperature when the water and the tray reach thermal equilibrium?

Answer #1

Mass of aluminium tray = m_{a} = 0.5 kg

Mass of water = m_{w} = 0.25 kg

Initial temperature of aluminium tray = T_{1} = 150
^{o}C

Initial temperature of water = T_{2} = 20
^{o}C

Temperature at thermal equilibrium = T

Specific heat of aluminium = C_{a} = 900 J/(kg.K)

Specific heat of water = C_{w} = 4186 J/(kg.K)

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

m_{a}C_{a}(T_{1} - T) =
m_{w}C_{w}(T - T_{2})

(0.5)(900)(150 - T) = (0.25)(4186)(T - 20)

67500 - 450T = 1046.5T - 20930

1496.5T = 88430

T = 59.09 ^{o}C

The temperature when the water and the tray reach equilibrium =
59.09 ^{o}C

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

A) Suppose 0.395 kg of water initially at 41.5°C is poured into
a 0.300 kg glass beaker having a temperature of 25.0°C. A 0.500 kg
block of aluminum at 37.0°C is placed in the water, and the system
insulated. Calculate the final equilibrium temperature of the
system. °C
B) A 21.5 kg gold bar at 27.0°C is placed in a large, insulated
0.800 kg glass container at 15.0°C with 2.00 kg of water at 25.0°C.
Calculate the final equilibrium temperature....

A 0.250-kg aluminum bowl holding 0.800 kg of soup at 26.2°C is
placed in a freezer. What is the final temperature if 428 kJ of
energy is transferred from the bowl and soup? Assume the soup has
the same thermal properties as that of water, the specific heat of
the liquid soup is 1.00 kcal/(kg · °C), frozen soup is 0.500
kcal/(kg · °C), and the latent heat of fusion is 79.8 kcal/kg. The
specific heat of aluminum is 0.215...

An insulated beaker with negligible mass contains liquid water
with a mass of 0.250 kg and a temperature of 84.4 ∘C .
How much ice at a temperature of -10.6 ∘C must be dropped into
the water so that the final temperature of the system will be 21.0
∘C ?
Take the specific heat of liquid water to be 4190 J/kg⋅K , the
specific heat of ice to be 2100 J/kg⋅K , and the heat of fusion for
water to...

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)

Suppose you should make tea and that you pour 3.4dl of boiling
water into a cup. You want to drink your tea at a temperature of 55
° C and therefore plan to put ice cubes in the boiling water so
that the temperature is right. You take ice cubes from the freezer
where the temperature is 18 ° C. The ice cubes weigh 15 g. How many
ice cubes should you put in your tea water? Suppose the teacup...

You pour 200 g hot coffee at 78.7°C and some cold cream at
7.50°C to a 115-g cup that is initially at a temperature of 22.0°C.
The cup, coffee, and cream reach an equilibrium temperature of
62.0°C. The material of the cup has a specific heat of 0.2604
kcal/(kg · °C) and the specific heat of both the coffee and cream
is 1.00 kcal/(kg · C). If no heat is lost to the surroundings or
gained from the surroundings, how...

you pour 130 g hot coffee at 78.7°C and some cold cream at
7.50°C to a 115-g cup that is initially at a temperature of 22.0°C.
The cup, coffee, and cream reach an equilibrium temperature of
61.0°C. The material of the cup has a specific heat of 0.2604
kcal/(kg · °C) and the specific heat of both the coffee and cream
is 1.00 kcal/(kg · C). If no heat is lost to the surroundings or
gained from the surroundings, how...

If you pour 0.600 kg of 20.0ºC water onto a 1.20-kg block of ice
(which is initially at 0 ºC), what is the final temperature? You
may assume that the water cools so rapidly that effects of the
surroundings are negligible. The specific heat of water is 4 186
J/(kg * ºC), the specific heat of ice is 2 090 J/(kg * ºC), and the
heat of fusion of water is 334 x103 J/kg.

You drop a 291-g silver figure of a polar bear into the 247-g
aluminum cup of a well-insulated calorimeter containing 261 g of
liquid water at 21.9°C. The bear\'s initial temperature is 97.9°C.
What is the final temperature of the water, cup, and bear when they
reach thermal equilibrium? The specific heats of silver, aluminum,
and liquid water are, respectively, 234 J/(kg·K), 910 J/(kg·K), and
4190 J/(kg·K).

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 16 minutes ago

asked 18 minutes ago

asked 37 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago