*I HAD SAMPLE #1*
Background: For this lab I will need to heat the metal I am given, place it in a cup of water, and calculate the temperature change. I will need the mass of the water, mass of the metal, the temp of the water before I put the metal in and the temp of the water after I put the metal in for 2 mins for my calculations. Once I do the calculatons, I will compare the specific heats that I calculated to the specific heat of the metals give to us to determine which metal I have. The specific heats of water, and the metals are...
- Water- 4.184J/g*°C
- Al- 0.897J/g*°C
- Brass- 0.385J/g*°C
- Cu- 0.385J/g*°C
- Lead- 0.129J/g*°C
- Stainless Steel 0.490J/g*°C
- Zn- 0.390J/g*°C
Calculations: Symbols used- q=heat, m=mass, c=specific heat, ΔT=change in temp
From my data I will have mass, specific heat, and temp change of water, so all I need is heat. Here is the calc to find the heat. It is, heat equals mass times specific heat times temp gained.
Calc for water: qw=mwcwΔTw
Now that I have heat, I can plug that in with the mass and temp change of metal to find the metals specific heat. Here is the calc to find the specific heat of my metal. It is, specific heat equals heat divided my mass times temp gained.
Calc for metal: cm=qm/mmΔTm
Now that I have the specific heat, I can compare it to the specific heats of the metals given to us and determine which metal I have.
Data: To get a more accurate result, I did the test 4 times to get 4 sets of data which I will be able to compare the calculations.
Analysis: Now with this data I will be able to preform the calculations that I explained in the background for each of my tests.
Test 1: Finding Heat: q=87.87g x 4.184J/g*°C x 5.5°C
q=2022.064 Joules
Finding Specific Heat Of Metal: c=2022.064 Joules / 33.767g x 69.1°C
c=0.867J/g*°C
***Specific heat of metal in test 1 is 0.867J/g*°C
Test 2: Finding Heat: q=97.71g x 4.184J/g*°C x 5.3°C
q=2166.739 Joules
Finding Specific Heat Of Metal: c=2166.739 Joules / 33.767g x 70.6°C
c=0.909J/g*°C
***Specific heat of metal in test 2 is 0.909J/g*°C
Test 3: Finding Heat: q=87.00g x 4.184J/g*°C x 6.0°C
***Specific heat of metal in test 2 is 0.909J/g*°C
Test 3: Finding Heat: q=87.00g x 4.184J/g*°C x 6.0°C
q=2184.048 Joules
Finding Specific Heat Of Metal: c=2184.048 Joules / 33.767g x 68.5°C
c=0.944J/g*°C
***Specific heat of metal in test 3 is 0.944J/g*°C
***Specific heat of metal in test 3 is 0.944J/g*°C
Test 4: Finding Heat: q=89.23g x 4.184J/g*°C x 6.3°C
q=2352.031 Joules
Finding Specific Heat Of Metal: c=2352.031 Joules / 33.767g x 70.2°C
c=0.992J/g*°C
***Specific heat of metal in test 4 is 0.992J/g*°C
***Specific heat of metal in test 4 is 0.992J/g*°C
Conclusion: After comparing my calculated specific heat to the specific heat of the metals given to us, I have concluded that my metal was aluminum. Each of my calculated specific heats is within about 1/10th of the specific heat of aluminum, and one is withing 3 hundreths. each of the other metals are at least 4/10ths away from aluminum, and my calculated specific heats. Therefore, aluminum is the only metal that my sample could be.
