Question

On a hot summer day you decide to make some iced tea. You brew 0.85 L of tea at 85°C. In order to cool the tea, you add 1.1kg of ice taken from the freezer at –10°C. Treat the tea as plain water for this problem. ρw=1 kg/L (a) What is the final temperature of the tea? (b) Does all of the icesmelt? If it doesn’t all melt, how much ice is left?

Answer #1

To practice Problem-Solving Strategy 12.1 Calorimetry
problems.
On a hot summer day, you decide to make some iced tea. First,
you brew 1.50 L of hot tea and leave it to steep until it has
reached a temperature of Ttea = 75.0 ∘C. You then add 0.975 kg of
ice taken from the freezer at a temperature of Tice = 0 ∘C. By the
time the mix reaches equilibrium, all of the ice has melted. What
is the final temperature...

Tina is going to make iced tea by first brewing hot tea, then
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should be added to a 3.70 × 10−4 m3 glass of
tea at 95.0°C to cool the tea to 10.0°C. The glass has a mass of
0.350 kg and the specific heat of the glass is 0.837 kJ/(kg·K).
Specific heat capacity (15.0°C) of water is 4.186 kJ/(kg·K) and
heat of fusion of water is 333.7...

Hot tea (water) of mass 0.21 kg and temperature 62 ∘C is
contained in a glass of mass 200 g that is initially at the same
temperature. You cool the tea by dropping in ice cubes out of the
freezer that are at a temperature of – 11 ∘C. What is the minimum
amount of ice in you need to make ice tea (final temperature of
0∘C)? Give your answer in kg to two decimal places. The specific
heat of...

Suppose it is a particularly hot summer day and you want to make
some popsicles to help cool off. You fill a popsicle mold with
0.15kg of juice (suppose it is the same thermal energy as water).
The juice starts out at a temperature of 30 °C and the freezer will
cool it to -20 °C. a. How much heat must be removed from the
popsicles in order to bring them to their final temperature. b.
Draw an energy flow...

As an eager scientist on a hot summer day you wish to determine
how much ice to buy to add to your cooler which is filled with 32
cans of soda which are warm at 82.9°F. Each can has a mass of 402 g
and ideally you want the temperature of the drinks to be 40.1°F. If
there is no heat lost by the cooler and ignoring any heat lost to
the soda containers, how much ice needs to be...

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