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AP Chemistry 3.4 Laws of Thermodynamics. What is the specific heat of the metal?
Transcript
- 00:04
And here's your Shmoop du jour, brought to you by specific heat. [Fire rising]
- 00:07
If it’s too specific, all of those adjectives can get pretty annoying…
- 00:12
Alright, here's the question.
- 00:13
In the lab, Bubba is trying to determine the identity of a metal by its specific heat. [Bubba wearing a lab coat]
- 00:18
Here is the data he collected.
Full Transcript
- 00:24
What is the specific heat of the metal, given that the specific heat of water is ~4 J/g?celcius.
- 00:32
And here are your potential answers.
- 00:35
Hey, maybe if we help Bubba figure out his problem, he’ll give us some free shrimp. [Bubba at the shrimp store]
- 00:41
Nothing motivates like seafood.
- 00:42
All right, let’s take a look at the data that Bubba collected.
- 00:45
It appears that he placed a hotter piece of metal in cooler water, then measured the temperature
- 00:49
of the metal-water mixture. [Bubba with a piece of metal in hot water]
- 00:51
How can we determine the specific heat of the metal with this data?
- 00:54
Well, specific heat, or Cp, refers to the amount of heat required
- 00:58
to raise the temperature of 1 gram of a substance by 1°C.
- 01:02
In order to find the specific heat of the metal, we need to know how much heat was transferred [Piece of metal in a bed of water]
- 01:07
from the metal to the water.
- 01:09
We were given the specific heat of the water, the mass of the water, and the temperature
- 01:12
change of the water, so we can calculate the heat that the water must have absorbed using
- 01:16
the equation heat equals mass times the heat capacity times the change in
- 01:21
temperature.
- 01:22
Due to the law of conservation of energy, we can assume that the same amount of energy
- 01:28
is released by the metal.
- 01:30
Using the same equation, we can calculate our unknown Cp. [Equation for calculating Cp]
- 01:33
All right, now it’s time for our favorite part, doing the math!
- 01:37
Do the math do the math do the maaaath, do the math do the math do the maaaath…
- 01:43
Alright we're done. Choice B is the one we want.
- 01:46
And now, it's time for seafood. [Bubba sat at a table waiting for his order of seafood]
- 01:48
Okay, Bubba, so that’ll be two orders of popcorn shrimp, a shrimp cocktail – anybody
- 01:52
want some garlic bread?
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