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### Course: AP®︎/College Chemistry>Unit 6

Lesson 3: Heat capacity and calorimetry

# Constant-pressure calorimetry

Constant-pressure calorimetry is used to measure the change in enthalpy, ΔH, for a physical or chemical process. In this technique, a process is carried out in solution in a coffee cup calorimeter, an inexpensive device composed of two Styrofoam cups. The amount of heat transferred in the process (q) can be calculated from the mass, specific heat, and temperature change of the solution. Because the calorimeter is at constant (atmospheric) pressure, q is equal to ΔH for the process. Created by Jay.

## Want to join the conversation?

• At , due to the law of conservation of energy,should the energy in the system stay the same? Assuming that the system is reffering to the block and the water, the thermal energy in both objects should be the same before and after equillibrium, right?
(2 votes)
• So the law of conservations of energy states that the energy of the universe is constant. And when we're talking about thermodynamics the universe is the system and the surroundings combined. So energy can leave the system and be transferred to the surroundings. So individually the system loses energy and the surroundings gain energy, but together the energy content is constant because they both constitute the universe.

In a chemistry context, the system refers to the reaction; specifically just the chemicals reacting. The water enveloping the block (the reaction) would be part of the surroundings. So the energies (and therefore temperatures) of the reaction and water (and technically the rest of the surroundings) will change over the course of the reaction, and this is still allowed under the law of conservation of energy because the sum of their energies remained constant.

Hope that helps.
(7 votes)
• how did they come up with the name calorimeter?
(2 votes)
• “Calor” is Latin for heat, and “metry” is Greek for measurement. So it literally means heat measurements.
(7 votes)
• wait so when he's talking about constant pressure, he's talking about how the atmosphere around the system or whatever. So what does the pressure part really mean? Is it talking about how the atmosphere can absorb some of the heat or transfer heat?
(4 votes)
• I don't understand what delta h means and why when it is negative it represents an exothermic reaction (which should heat the surroundings).
(2 votes)
• ΔH means the change in enthalpy. Enthalpy is equal to heat at constant pressure, like in a calorimetry experiment. The sign of ΔH, like the sign for heat, tells us whether the net flow of heat if out the system into the surroundings, or into the system from the surroundings.

A negative ΔH means that more energy left the system than was supplied to the system from the surroundings. A positive ΔH means more energy was supplied to the system than was released.

Hope that helps.
(2 votes)

## Video transcript

- [Instructor] Calorimetry refers to the measurement of heat flow. And a device that's used to measure heat flow is called a calorimeter. An easy way to make a calorimeter is to use two coffee cups. So at the base here, we have one coffee cup, and then we can also use another coffee cup as a loose fitting lid. And since this top coffee cup is loose fitting, our calorimeter is exposed to the constant pressure of the atmosphere. Therefore, we could use this coffee cup calorimeter for constant-pressure calorimetry. Other components of our calorimeter include some water and then we also have a stir bar to stir up the water, and a thermometer to measure the temperature change of the water. Let's say we have 150.0 grams of water at an initial temperature of 25.0 degrees Celsius. Next, let's take a block of copper, 120.0 grams of it, and let's heat up that block of copper to 100.0 degrees Celsius. Once the copper has reached that temperature, we add the copper block to our calorimeter. Here, we can see the copper block has been added to the calorimeter, and since the copper is at a higher temperature than the water, heat flows from the copper block to the water, and therefore the temperature of the water will increase, which we will see on the thermometer. So we'll see the temperature increase on the thermometer. Heat is transferred from the copper block to the water until thermal equilibrium has been reached. And we know when thermal equilibrium has been reached by looking at the thermometer and measuring the highest temperature that's reached. Let's say the final temperature is equal to 30.0 degrees Celsius. So at thermal equilibrium, both the pieces of copper, both the copper block and the water are at the same final temperature. Next, let's calculate the heat gained by the water by using the equation q is equal to mc delta T. So q is what we're trying to calculate, the heat gained by the water. M is the mass of the water, which is 150.0 grams. So we can write in 150.0 grams. C is the specific heat of water, which is 4.18 joules per gram degrees Celsius. And delta T is the change in the temperature, which would be the final temperature, so Tf minus the initial temperature Ti. The final temperature of the water is 30.0 degrees Celsius, and the initial temperature of the water was 25.0 degrees Celsius. So 30.0 minus 25.0 is equal to 5.0 degrees Celsius. So we can write that in. And next, we look at units and see what cancels out here. So the grams cancel out, degrees Celsius cancels out, and we're left with joules as our unit. So q is equal to, when we go to two significant figures, this is positive 3.1 times 10 to the third joules. The positive sign means that this was the energy gained by the water. Next, let's do the same calculation for copper. So we're trying to find q. The mass of the copper was 120.0 grams. So we can plug that in. The specific heat of copper is .39 joules per gram degrees Celsius. And let's think about the change in the temperature of the copper. The final temperature of the copper was 30.0 degrees Celsius, and the initial temperature of the copper was 100.0 degrees Celsius. So the change in the temperature would be 30.0 minus 100.0, which of course is negative 70.0. So let's plug in negative 70.0 degrees Celsius. Once again, we see what cancels for our units. Grams will cancel, degrees Celsius will cancel, and our answer will be in joules. So q is equal to, using two significant figures, negative 3.3 times 10 to the third joules. And the negative sign, so this negative sign means this is the energy that was lost by the copper. Next, let's look at these two numbers that we got from our calculations. Let's think about the magnitude of these two numbers. If our coffee cup calorimeter were a perfect insulator, the magnitude of these two numbers would be the same. So it could be something like 3.3 times 10 to the third joules for both of them. But since these two numbers are not the same, right? We can see that we've lost more heat from the copper than we've gained in terms of energy for the water, which means we could have lost some of the energy to the environment. So not all of the heat was transferred directly to the water. Some of it could have escaped our coffee cup calorimeter. Next, let's think about calorimetry for a chemical reaction. So before we do that, let's review some terms for thermodynamics. So the system is the part of the universe that we are studying. So in the case of a chemical reaction, the reactants and the products make up the system. The surroundings are everything else, which would include the water in the calorimeter, the coffee cup itself, the thermometer, the environment outside, so the surroundings are everything else. And finally, the universe would be the system plus the surroundings. So the reactants and the products make up the system. So that's what the S stands for here in our calorimeter. That's our system. And let's say we run a reaction, and in the reaction, heat is given off. So in that case, heat would flow from the system to the surroundings, and so the temperature of the water would increase. So we would see that as the temperature increases on the thermometer. Next, we could calculate the heat gained by the water by using our q is equal to mc delta T equation. And let's say q is equal to positive 1.0 times 10 to the second joules. The positive sign means that the water gained energy. If we assume a perfect transfer of heat from the system to the surroundings, if the surroundings gained positive 1.0 times 10 to the second joules, that means the system must have lost negative 1.0 times 10 to the second joules. So the same magnitude, but we changed the sign here, because if we're talking about the energy lost by the system, it's the same in magnitude, but opposite in sign. Next, remember that our lid over here is loose fitting, which makes this constant pressure calorimetry, and therefore this heat that was transferred is the heat that's transferred at constant pressure. So we can write a subscript p in here, so qp. The heat transfer at a constant pressure is the definition for the change in the enthalpy delta H, so we can write that qp is equal to delta H. And when delta H is negative, we're talking about an exothermic reaction. So when a reaction is exothermic, heat is transferred from the system to the surroundings, and therefore we see an increase in the temperature of the water. Finally, let's think about an endothermic reaction. In an endothermic reaction, heat is transferred from the surroundings to the system. So here we can show heat flowing from the surroundings to the system. Since energy is leaving the surroundings, the temperature of the water will decrease for an endothermic reaction. And since heat is being transferred to the system, we can go ahead and write heat over here, we can go ahead and write heat on the reactants side, and delta H would be positive for an endothermic reaction. So for an endothermic reaction, energy is transferred from the surroundings to the system, and therefore the temperature of the water will decrease.