A. Derive an expression below for the specific heat of Aluminum in the following situation: a certain mass of Aluminum, ma, 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, Ir.

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Please, help me answer the theory part for this lab report

Theory: |
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, Ir.
B. 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, It -
Transcribed Image Text:Theory: | 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, Ir. B. 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, It -
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.
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)
Procedure:
Aluminum
1. Place aluminum pellets on the electronic scale and measure their mass.
2. Measure mass of Styrofoam cup.
3. Fill cup halfway with water from the tap and measure the mass of the water/cup
combination on the scale.
4. Put aluminum in a pot, fill with water, and bring to boiling.
5. When water is boiling, take the pot off the stove. Take the temperature of the water in the
Styrofoam cup and then take the temperature of the boiled water in the pot assume this is
the initial temperature of the aluminum.
6. Get ready to move quickly and carefully. Strain aluminum from the hot water as quickly
as possible while being safe and place the remaining pellets in the cup of cool water.
7. Using a thermometer, carefully stir the water/aluminum mixture for 5-10 seconds until the
mixture reaches a constant temperature. Record the final temperature.
8. Strain aluminum once again from the water and set aside to dry on a paper towel.
Ice...Repeat the above procedure for the styrofoam calorimeter only this time instead of adding
hot aluminum, add a cube of ice that has been allowed to sit out in the lab until it has begun to
melt (0°C). Be sure to dry the cube by using a paper towel to remove water from the ice sample.
Stir until all ice melts and the mixture has come to a uniform temperature. Measure and record
this final temperature and the mass of the contents in the calorimeter.
1
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. 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) Procedure: Aluminum 1. Place aluminum pellets on the electronic scale and measure their mass. 2. Measure mass of Styrofoam cup. 3. Fill cup halfway with water from the tap and measure the mass of the water/cup combination on the scale. 4. Put aluminum in a pot, fill with water, and bring to boiling. 5. When water is boiling, take the pot off the stove. Take the temperature of the water in the Styrofoam cup and then take the temperature of the boiled water in the pot assume this is the initial temperature of the aluminum. 6. Get ready to move quickly and carefully. Strain aluminum from the hot water as quickly as possible while being safe and place the remaining pellets in the cup of cool water. 7. Using a thermometer, carefully stir the water/aluminum mixture for 5-10 seconds until the mixture reaches a constant temperature. Record the final temperature. 8. Strain aluminum once again from the water and set aside to dry on a paper towel. Ice...Repeat the above procedure for the styrofoam calorimeter only this time instead of adding hot aluminum, add a cube of ice that has been allowed to sit out in the lab until it has begun to melt (0°C). Be sure to dry the cube by using a paper towel to remove water from the ice sample. Stir until all ice melts and the mixture has come to a uniform temperature. Measure and record this final temperature and the mass of the contents in the calorimeter. 1
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