00:01
All right in this problem were asked to figure out how much a ceiling we need to burn in order to heed one gallon worth of water 10 degrees celsius and were given the density of water is one one centimeter cube program.
00:20
So i went ahead and looked up.
00:22
Just some initial investigation here.
00:24
We need to figure out how much volume or how many grounds we have in one gallon worth of water, cause galan is a volume measurement.
00:33
We need to get that to gram's main reason is we're going to use emcee delta t for this particular problem in order to figure out how much energy needs to be put in to heat that water up s.
00:45
So the first thing it is, i figured out i looked up.
00:49
Listen, chemistry resource is that one gallon is equivalent to 3785.41 mil leaders and then we know that one cubic centimeter equals one one centimeter.
01:06
Cubed equals one, billy.
01:11
And in the water world, if we're dealing with water, we know one millie is one gram.
01:16
Okay, so it's basically a 1 to 1 ratio.
01:19
Ah, we can just say if we have 37 85.41 milliliters, we have 37 85.41 grams of water that we need to heat up.
01:29
And from there we'll go ahead and use q equals m c delta t.
01:34
So on the next screen, i have that almost set up.
01:36
Ah, there's the equation we need to use on top as our cubicles emcee delta t we have a temperature change of 10 degrees celsius.
01:44
Specific heat is four point.
01:45
When a boar we now know the masses 37 85 point for one gramps and final step would just be too.
01:56
You know, once we figure out the energy output ah, that the water received will go ahead and figure out using this ratio how many grams of that ceiling we need to use.
02:07
And we're also assuming an 80% efficiency so we can factor that and as well.
02:12
So when we start off with, the first thing we need to do is use q e equals m c delta t.
02:19
So that's gonna be the product of the 37 85.41 time specific heat of water and then our temperature changes just given to us as 10.
02:36
Now, that gives us an energy of 1000 or i'm sorry.
02:41
100,000 one hour.
02:43
58,381 jules.
02:47
Okay, but if we go back to the previous screen, we're dealing with killer jewels...