How to calculate Specific Heat

Welcome to MooMooMath and Science. In this video I would like to go over how to solve some specific heat questions and I will go over how to find Q and then I will do another one where you find specific heat. Basically this chart is converting this equation where the heat or energy change is equal to the mass times the specific heat times the temperature change and it is the final minus the initial and it gives you a little bit larger picture. Basically this is a literal equation and say you want to find C then what you do since this is division you just do Q divided by since you want to isolate C it is m times T equals C and basically this is what this chart does. If you need C then C is equal to Q divided by m times T and if you need the mass then the C would be here and the m would be out and so the mass would be equal to Q divided by specific heat and change in temperature. Ok enough said let's get started with this one and we will apply this. It says how much heat is required to raise the temperature of 55 grams of alcohol from 10 degrees to 80 degrees celsius if the specific heat of the alcohol is 2.4 joules per gram per degree celsius. So let's get started. So we are looking for Q so let's go Q equals and then what we need to do is look for the mass which is 55 grams and then we need the specific heat which is 2.4 and remember to keep your units of measure grams times celsius times time and remember it is going to be minus initial which is 10 so that is going to be a change of 70 degrees and that is celsius. When you multiply 55 times 2.4 times 70 that gives you, ok and now let's look at the unit of measure. Remember the grams is over one the celsius is over one this is on the bottom so this gram cancels this gram cancels this celsius cancels this celsius cancels so you are left with joules. So it takes 9,240 joules to raise the alcohol from 10 degrees to 80 degrees celsius. Let's look at another example. Ok in this one it says a 15 gram piece of metal absorbs 1,286 joules of heat energy and its temperature changes from 25 degrees celsius to 175 degrees celsius. Calculate the specific heat. So we are looking for C. If you look at this what we are going to use is C equals Q which is the heat over the mass times the change in temperature. So let's just start plugging in what we have. So we know C is equal to, first we need to find Q which is 1,286 joules of heat energy and remember always keep your unit of measure and then we need to find the mass and it is a 15 gram mass and then it ends at 175 the initial was 25 so it would be 175 minus 25 which is equal to 150 degrees celsius. So it is 150 degrees celsius. So now let's do the math. So first thing we need to do is we need to go 1,286 joules and we need to go 15 times 150 and that equals 2,250 grams per centimeter. So now what we need to do is we need to divide 1,286 by 2,250 and when I do that I get 0.00572 and now let's look at the unit of measure that is going to be joules per grams per degrees in celsius. Thanks for watching and remember kindness multiplies kindness. Be kind to someone today.