Energy and Entropy 2020
In this remote-friendly activity, students use a microwave oven (and optionally a thermometer) to measure the latent heat of melting for water (and optionally the heat capacity). From these they compute changes in entropy. See also Ice Calorimetry Lab.
What students learn
This lab gives students a chance to take data on the first day of class (or later, but I prefer to do it the first day of class). It provides an immediate context for thermodynamics, and also gives them a chance to experimentally measure a change in entropy. Students are required to measure the energy required to melt ice and raise the temperature of water, and measure the change in entropy by integrating the heat capacity.
In this lab, we will be measuring how much energy it takes to melt ice
and heat water. I have modified this lab to work with a microwave oven that you're likely to have at home.
Before the lab
Before the day of the lab, you will need to collect your equipment. If you do
not have a microwave oven, or do not have a liquid measuring cup, you will need
to use the data from another student in your group. If you do have a
microwave and a way to measure the volume or mass of water, please be ready to
do this lab during class.
You will need the materials below. Ideally the day before the lab you will put about
500 mL (or even more) of water into a container (not a glass jar, which could break)
and put it into the freezer so you will have a large chunk of ice. This will make
it easier to separate the ice from the melt water when you melt it. If you do not
do this you can still use ice from an ice cube tray, but then it will really help to
also have a collander or seive to help separate ice from water.
Materials:
- Microwave-safe bowl or mug
- Microwave oven
- Kitchen scale or liquid measuring cup
- Ice and water
- Thermometer (if available)
We will be using a microwave oven to measure how much energy it
takes to melt ice and how much energy it takes to boil water. If you have
a thermometer, you can also measure how much energy it takes to raise its temperature.
Our experimental unit of energy will be “seconds in the microwave.”
It's not a great unit of measure. A microwave may not always output equal power
independent of what is in it, so we'll try not to change too much the
amount of ice or water in the oven.
In the analysis, you can use the nominal power of the microwave (as written somewhere
on the inside or outside of your oven) to approximately convert this to Joules, but
keep in mind that this conversion is dubious on many fronts. There will be energy
wasted in the electronics of the microwave, which is not transmitted to the ice.
Also the documented power is probably rounded up, because it is used by electricians
to determine whether the device is safe to put on a circuit, and for that purpose
it is acceptable to use less than the documented power, but not more. We could do
better by measuring the current drawn (and the line voltage), but I doubt you have
that equipment in your kitchen.
Melting ice
We will start by measuring how much energy it takes to melt a gram of ice.
You will want maybe 500 mL of ice, or perhaps two ice cube trays.
Prepare your ice for this experiment by putting it in a bowl of water for a bit.
This will raise its temperature to zero Celsius.
Put a bunch of ice (500 mL or two ice cube trays) into a microwave-safe bowl.
- Microwave the ice for a minute.
- Pour out the liquid water (possibly through a seive or a collander) into a liquid measuring cup to see how much of the ice was melted. Alternatively you could measure the mass of the melt water with a scale.
- Repeat, but increase the time significantly if you didn't melt an eaasily
measurable amount of water. Stop when you've melted at least half of your ice.
Boiling water
We will now measure how much energy it takes to boil water. If you have a glass measuring cup,
fill it to the highest mark with water. Add a pebble to the measuring cup (or bowl).
Then microwave it until it reaches a full rolling boil.
At this point the water should be 100° Celsius.
- Put the water in the microwave, and heat it for three minutes.
- Measure the amount of water remaining either by volume or mass.
- Repeat, but increase the time significantly if you didn't boil an eaasily
measurable amount of water. Stop when you've boiled away at least half of your water.
Heating water (optional)
Now if you have a thermometer, you can find out how much energy it takes to raise
the temperature of water.
Start by filling a cup with water, making sure to measure its mass or volume.
- Measure the temperature of the water and write it down.
- Put the cup in the microwave for a little while (start with 30 seconds or a minute probably), and write down how
long you heated it.
- Repeat until it reaches boiling. Increase the time interval if your water does not change
temperature by an easily measurable amount.