A. Derive an expression below for the specific heat of Aluminum in the following situation: a certain mass of Aluminum, mAI, at some initial temperature To, AI is added to a certain mass of water, mw at a lower temperature, To, w and they are allowed to come to thermal equilibrium, Tr. B. Now adapt the expression in A for the situation where in addition to the aluminum, a small amount of water (Am) at the same temperature as the aluminum is also added.

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Can you help me with theory part B?

Introduction:
A consideration of the heat evolved or absorbed during physical and chemical processes provide
good examples of the use of the first law of thermodynamics, and the measurement of such heats
is the subject of the science of calorimetry. The purpose of this experiment is to verify the first
law, as well as learn about calorimetric measurements, and this will be accomplished through the
following two objectives:
a) To determine the specific heat capacity (Ca) of aluminum.
b) To determine the latent heat of fusion (Lice) of ice.
towel
Equipment Needed
1. Aluminum pellets
2. Styrofoam cup
3. Pot and water to boil (provided by you)
4. Strainer (provided by you)
5. Thermometer
6. Ice cube (provided by you)
only this te
Theory:
Explain each of the following in the space provided.
1. Heat Capacity:
2. Latent Heat
Mas
3. After reading the procedure, explain how the first law of thermodynamics is involved
and how the objectives of this experiment will verify this law.
A. Derive an expression below for the specific heat of Aluminum in the following situation: a
certain mass of Aluminum, mAI, at some initial temperature To, AI is added to a certain mass of
water, mw at a lower temperature, To, w and they are allowed to come to thermal equilibrium, Tr.
B. Now adapt the expression in A for the situation where in addition to the aluminum, a small
amount of water (Am) at the same temperature as the aluminum is also added.
C. Derive an expression for the latent heat of fusion for water in the following situation: A certain
mass of ice mice at 0°C is added to a mass of water mw at some initial temperature To is allowed
to come to thermal equilibrium, Tf.
anned w
Suaniner
Transcribed Image Text:Introduction: A consideration of the heat evolved or absorbed during physical and chemical processes provide good examples of the use of the first law of thermodynamics, and the measurement of such heats is the subject of the science of calorimetry. The purpose of this experiment is to verify the first law, as well as learn about calorimetric measurements, and this will be accomplished through the following two objectives: a) To determine the specific heat capacity (Ca) of aluminum. b) To determine the latent heat of fusion (Lice) of ice. towel Equipment Needed 1. Aluminum pellets 2. Styrofoam cup 3. Pot and water to boil (provided by you) 4. Strainer (provided by you) 5. Thermometer 6. Ice cube (provided by you) only this te Theory: Explain each of the following in the space provided. 1. Heat Capacity: 2. Latent Heat Mas 3. After reading the procedure, explain how the first law of thermodynamics is involved and how the objectives of this experiment will verify this law. A. Derive an expression below for the specific heat of Aluminum in the following situation: a certain mass of Aluminum, mAI, at some initial temperature To, AI is added to a certain mass of water, mw at a lower temperature, To, w and they are allowed to come to thermal equilibrium, Tr. B. Now adapt the expression in A for the situation where in addition to the aluminum, a small amount of water (Am) at the same temperature as the aluminum is also added. C. Derive an expression for the latent heat of fusion for water in the following situation: A certain mass of ice mice at 0°C is added to a mass of water mw at some initial temperature To is allowed to come to thermal equilibrium, Tf. anned w Suaniner
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