In this bit, I'll cover the other two types of thermo problems you might see (part one is here.). But first, I'm going to add something that I forgot in the previous entry and meant to have.
Specific heat - the amount of heat necessary to move one amount of a substance one degree. So, water's specific heat is 4.18 J/(g*C). That means that it takes 4.18 Joules to move one gram of water one degree. Sometimes you will see this with kJ or kG as the unit. It takes .00418 kilojoules to move one gram of water one degree. The units here trip me up on a regular basis, so just make sure you read the question very carefully and give the answer in the right form.
Heat Capacity - The amount of heat required to raise a sample of something one degree. The official formula for it is q = CΔT. HehehehEHEHehe....it looks like cat. C = a given value of specific heat (IE, the 4.18J/(g*C). This isn't a thing that's used a whole lot, but I figured I'd toss it in. Specific heat is much more important.
First, we'll do coffee cup calorimetry. I hate these problems. They're boring and needlessly complicated and serve virtually NO purpose except for to help you do your coffee cup calorimetry lab. You probably won't see them again after this.
Ok, so the things you'll need to be able to do a CCC problem: mass, the ability to calculate molar weight, and a change in temperature (which is designated as Tfinal - Tinitial, or Δt. In physics this symbolism gets confusing when you deal with tension, but this isn't physics class, YAY!). There's no real way for me to explain it except to do it, so here's an example problem:
When a 5.87-g sample of solid ammonium nitrate dissolves in 90.77 g of water in a coffee-cup calorimeter, the temperature drops from 23.0oC to 18.4oC. Calculate ΔH (in kJ/mol NH4NO3) for the solution process assuming specific heat of the solution is the same as that of pure water*.
*The reason is because there's not enough of the solute to effect the specific heat of the water. Highly concentrated solutions don't follow this rule, but this is chem 111 so almost everything you see will. If they don't, you'll be given a different specific heat.
Another note about symbols: Because ΔH is already taken by enthalpy, changes in heat are noted by writing q. Why the thing that starts with an H didn't get to claim ΔH, well, that's beyond me. Chemists are super weird about names.
Ok, so on to figuring this out. Here's what's important:
q/amount of solute is going to give us the answer. In this case, we're being asked for the answer in kJ/moles, so we'll need to switch the grams to moles later.
Find q: Mass of the solution x Specific heat of the solution x Δt
Mass = Ammonium Nitrate + Water, so in our case: 90.77g + 5.87g = 96.64g
Δt = Tf - Ti, so 18.4C-23.0C = -4.6. Note that negatives are ok, and that this reaction is endothermic, as the temperature of the water was LOWERED 4.6 degrees. That means the reaction absorbed 4.6 degrees of heat.
96.64 x 4.184 x -4.6 = -1859.972 J. We're asked for the answer in the form of kJ/moles, so we change this to -1.9kJ.
Also, because we're being asked the amount the reaction absorbed and this number signifies how much the water lost, we flip the sign. Because of the laws of thermodynamics, the amount of heat (energy) in a system is constant. What the water lost the reaction MUST have gained. That's why we can simply flip the sign.
1 mole of NH4NO3 weighs 80g, so the conversion (if you missed how to do that, I wrote it up here.) results in 7.33x10^-2 moles.
The next step is division. Divide q by whatever amount you're being asked for. If you're being asked for one mole/g/kG/whatever obviously you don't need to divide. For us here: 1.9/7.33x10^-2 = 26kJ/mole
And that's it, basically. Interesting sidebar: These are called "coffeecup calorimetry" problems because coffee cups are really good insulators. It's a shorthand for "something that keeps heat from getting out into the general environment". The calorimetry part is derived from the fact that calories used to be the standardized measure of heat. This is how they figure out how many calories are in food. They burn it and measure the change in temp in a closed environment. The temperature change is then converted into calories. A calorie is equal to the amount of heat needed to raise one gram of water one degree. So...calories are a measure of heat, not accurately of energy, and they say absolutely jack all about what your body does with it the food you eat.
Ok, the third type of problem are Hess's law problems.
Hess's Law: The enthalpy accompanying a chemical reaction is independent of the pathway between the initial and final states (Stolen from wikipedia: http://en.wikipedia.org/wiki/Hess_law)
That means, essentially, that if you know ΔH for a couple of similar reactions you can rearrange them (and their ΔH) to figure out the enthalpy for a similar reaction. Now, this isn't a terribly practical thing to know. Not like actual enthalpy problems, but I kinda like them because they're like a puzzle. Here's the problem:
Calculate the standard enthalpy change, ΔHo, for the formation of 2 moles of sulfur trioxide given the following information:
2 S(s) + 3 O2 (g) --> 2 SO3(g) ΔH = ?
S(s) + O2 (g) --> SO2 (g) ΔH = -297 kJ
2 SO2(g) + O2 (g) --> 2 SO3 (g) ΔH = -198 kJ
So, the goal in manipulating these problems is to have the product be the same as the equation for whom you are trying to find the ΔH. The two given formulas will be added after the manipulation, and anything that is the same on opposite sides of the arrow will cancel. So our goal is to end up with 2S and 3O2 on the left, and 2SO3 on the right. The goal is always to manipulate the given formulas in a way so that when they add, and the stuff cancels, they look like the goal formula. There are two ways of manipulating the given eqs. They are:
1. Multiply. The top one of our two given eq. has Sulfur, and the bottom one doesn't. Since our source eq. has two sulfer, we multiply the entire eq - INCLUDING THE ΔH - by two, which gives us:
2S + 2O2 --> 2SO2 ΔH = -594
If you'll notice, our source eq. doesn't actually have any SO2, so that's one of the things we're going to want to cancel. Luckily, there's now 2SO2 in given 1, and in given 2.
2. If something you want to be on the left side is on the right side (or visa versa), flip the eq. If you do this, just make sure you change the sign of the ΔH. In this particular problem, we don't need to do that. This isn't math. You don't need to keep things exactly as they were. This is chemistry...WE CAN DO WHAT WE WANT! ;)
After you've done these things (not necessarily in this order, the order is irrelevant.), then add the results:
2S + 2O2 --> 2SO2 | ΔH = -594 kJ
2 SO2 + O2 --> 2 SO3 | ΔH = -198 kJ
-----------------------------|--------------------
2S + 3O2 --> 2SO3 | ΔH = -792 kJ
Note: These problems DO follow one rule of math: only like terms can be added. That means you cannot add 3O to 3O2. You can't add things that are in different states (gas and liquid, for example. I left them out of the problem, but the state notations are in the question.). You can't add joules and kilojoules, you need to convert if they're given to you in different units.
And, that's basically everything. Hopefully I didn't forget anything, or leave anything super necessary out. There are probably things I've chosen to leave out that your teacher might want, but I think I've covered the important stuff. :)