Question

In a physics lab students are conducting an experiment to learn about the heat capacity of different materials. The first group is instructed to add 1.5-g copper pellets at a temperature of 92°C to 285 g of water at 16°C. A second group is given the same number of 1.5-g pellets as the first group, but these are now aluminum pellets. Assume that no heat is lost to or gained from the surroundings for either group.

(a) If the final equilibrium temperature of the copper pellets
and water is 25°C, how many whole pellets did the first group use
in the experiment? The specific heat of copper is 0.0924 kcal/(kg ·
°C).

(b) Will the final equilibrium temperature for the second group be
higher, lower, or the same as for the first group? The specific
heat of aluminum is 0.215 kcal/(kg · °C).

higher ?

lower ?

the same ?

(c) What is the equilibrium temperature of the aluminum and water
mixture for the second group? in °C?

Answer #1

Solution in the uploaded image

In a physics lab students are conducting an experiment to learn
about the heat capacity of different materials. The first group is
instructed to add 1.5-g lead pellets at a temperature of 92°C to
135 g of water at 16°C. A second group is given the same number of
1.5-g pellets as the first group, but these are now aluminum
pellets. Assume that no heat is lost to or gained from the
surroundings for either group.
(a) If the final...

In a physics lab students are conducting an experiment to learn
about the heat capacity of different materials. The first group is
instructed to add 1.5-g lead pellets at a temperature of 92°C to
275 g of water at 16°C. A second group is given the same number of
1.5-g pellets as the first group, but these are now aluminum
pellets. Assume that no heat is lost to or gained from the
surroundings for either group.
(a) If the final...

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...

In a calorimetry experiment to determine the specific heat
capacity of a metal block, the following data was recorded:
Quantity
Mass of the metal block
0.50 kg
Mass of empty calorimeter + Stirrer
0.06 kg
Mass of calorimeter + stirrer + water
0.20 kg
Mass of water
0.14 kg
Initial Temperature of metal block
55.5 ⁰C
Initial Temperature of water and calorimeter
22 ⁰C
Final Temperature of block- water system
27.4 ⁰C
Take the specific heat capacity of water to...

2. Sixty grams of water is at an initial temperature of 24
°C.
Calculate the heat required to completely convert the 100 ºC
water to steam. (The latent heat of vaporization of water is 540
cal/g.)
The heat required to completely convert the 100 ºC water to
steam is... kcal?
3. How much heat is required to raise the temperature of 140 g
of water from 12°C to 88°C? The specific heat capacity of water is
1 cal/g·°C.
The heat...

A student obtains the following data in a calorimetry experiment
designed to measure the specific heat of aluminum.
Initial temperature of water and calorimeter 70.4°C
Mass of water 0.403 kg
Mass of calorimeter 0.04 kg
Specific heat of calorimeter 0.60 kJ/kg·°C
Initial temperature of aluminum 27.1°C
Mass of aluminum 0.196 kg
Final temperature of mixture 66.4°C
(a) Use these data to determine the specific heat of aluminum.
J/kg · °C
(b) Is your result within 15% of 900 J/kg ·...

A 200 g of copper, initially at 300o C, is dropped into a 350 g
of water contained in a 355 g aluminum calorimeter; the water and
the calorimeter are initially 15o C. If 25 g iron stirrer is used
to bring the mixture into thermal equilibrium, what is the final
temperature of the system? ( Assume that the stirrer is initially
at 15o C.) Specific heat of copper and aluminum are 0.092 cal/g oC
and 0.215 cal/g oC respectively....

In an experiment, 100 g of aluminum (with a specific heat of 900
J/kg·K) at 79.0°C is mixed with 80.0 g of water (with a specific
heat of 4186 J/kg·K) at 43.0°C, with the mixture thermally
isolated. (a) What is the equilibrium temperature?
What are the entropy changes of (b) the aluminum,
(c) the water, and (d) the
aluminum-water system?

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?

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