Measuring Specific Heat of Different Substances in a Calorimeter Experiment, Lecture notes of Physics

An experiment aimed at measuring the specific heat of several substances using a calorimeter. The concepts of specific heat, the equation for heat transfer, and the experimental procedure. Students will measure the initial and final temperatures of hot and cold substances, calculate the heat gained by the cold substance, and determine the specific heat of the metal. The document also includes a data table for recording experimental results.

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PHYS 1401
General Physics I
EXPERIMENT 12
SPECIFIC HEAT
I. INTRODUCTION
The objective of this experiment is to measure the specific heat of several different
substances. This will be done by mixing two different substances and measuring
their initial temperatures and then measuring their final temperature as they come
to thermal equilibrium.
II. BASIC CONCEPTS
1. The specific heat of a substance is the amount of heat needed to raise the
temperature of 1.00 kg of the substance 1.00C. In the SI system, water has
a specific heat of 4184 J/kg.C which is a large value compared to other sub-
stances. In another system of units, the specific heat of water has the value
1.00 calorie/gC.
2. The amount of heat, Qgained or lost by a substance is
Q=cmT(1)
where cis the specific heat, mis the mass and Tis the change in tempera-
ture.
3. When hot and cold substances are mixed in an insulated container such as a
calorimeter, heat will flow from the hot to the cold substance. Assuming the
heat absorbed by the container and the heat lost to the environment are both
negligible, then we have
Heat lost by the hot substance =Heat gained by the cold substance
Chmh(Ti,h Tf) = Ccmc(TfTi,c)(2)
where the subscripts h and c refer to the hot and cold substances.
III. APPARATUS
Calorimeter, Celsius thermometer, beaker, electric hot plate, balance, string and
various metals.
IV. EXPERIMENTAL PROCEDURE
1. Fill a beaker about half full of water. Place on the hot plate and start boiling
the water. This will take several minutes.
2. Measure the mass of the given metal. Record all data in the data table.
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PHYS 1401

General Physics I

EXPERIMENT 12 SPECIFIC HEAT

I. INTRODUCTION The objective of this experiment is to measure the specific heat of several different substances. This will be done by mixing two different substances and measuring their initial temperatures and then measuring their final temperature as they come to thermal equilibrium.

II. BASIC CONCEPTS

  1. The specific heat of a substance is the amount of heat needed to raise the temperature of 1.00 kg of the substance 1.00◦C. In the SI system, water has a specific heat of 4184 J/kg.◦C which is a large value compared to other sub- stances. In another system of units, the specific heat of water has the value 1.00 calorie/g◦C.
  2. The amount of heat, Q gained or lost by a substance is

Q = cm∆T (1)

where c is the specific heat, m is the mass and ∆T is the change in tempera- ture.

  1. When hot and cold substances are mixed in an insulated container such as a calorimeter, heat will flow from the hot to the cold substance. Assuming the heat absorbed by the container and the heat lost to the environment are both negligible, then we have

Heat lost by the hot substance = Heat gained by the cold substance Chmh(Ti,h − Tf) = Ccmc(Tf − Ti,c) (2)

where the subscripts h and c refer to the hot and cold substances.

III. APPARATUS

Calorimeter, Celsius thermometer, beaker, electric hot plate, balance, string and various metals.

IV. EXPERIMENTAL PROCEDURE

  1. Fill a beaker about half full of water. Place on the hot plate and start boiling the water. This will take several minutes.
  2. Measure the mass of the given metal. Record all data in the data table.
  1. Attach a string to the metal and lower it into the hot water. The metal should be completely submerged under water. Allow the metal to sit in the water throughout the boiling process and for 5 minutes while the water is boiling. With the metal being in the boiling water for this much time, we will make the assumption that the temperature of the metal is the same as the temperature of the boiling water. While this is going on, proceed to the next step.
  2. Measure the mass of the empty calorimeter cup, mc.
  3. Fill the calorimeter cup about half full of cold water. Measure the mass of the cup and the water, mc+w. Subtract the mass of the cup to obtain the mass of the cold water, mw.
  4. Measure the initial temperature of the cold water, Ti,w.
  5. Measure the temperature of the boiling water. This is equal to the initial temperature of the hot metal, Ti,m.
  6. Using the string, pull the metal out of the boiling water and carefully transfer it to the calorimeter cup containing the cold water.
  7. Stir the cold water and watch as the temperature of the cold water rises. When it reaches it highest value (it stops increasing), read this temperature as the final equilibrium temperature, Tf.
  8. Repeat the above process for a different metal.

V. ANALYSIS

  1. Assume the specific heat of water is known, cw = 1.00 calorie/g◦C, and cal- culate the amount of heat gained by the cold water. Show your calculation below and enter your result in the data table.

Heat gained by the cold water = Cwmw(Tf − Ti,w) (3)

  1. From equation (2), the amount of heat lost by the metal (hot substance) is the same as this amount of heat you just calculated.

Experiment (12) Data Table

Type of

Metal

Mass of

metal

mm

(g)

Mass of

cup+water

mc+w

(g)

Mass of

cup

mc

(g)

Mass of

water

mw

(g)

Experiment (12) Data Table

Type of

Metal

Initial temp

of hot metal

Ti,m

(◦C)

Initial temp

of cold water

Ti,w

(◦C)

Final temp

Tf

(◦C)

Specific

heat of

metal

cm

(cal/g◦C)

Specific Heats for Metal Samples at 20 ◦C

Iron

Fe

(cal/g◦C)

Copper

Cu

(cal/g◦C)

Tin

Sn

(cal/g◦C)

Zinc

Zn

(cal/g◦C)

Aluminum

Al

(cal/g◦C)

Lead

Pb

(cal/g◦C)

Brass

(cal/g◦C)