MadSci Network: Physics |
Sorry about your back pain and your desire to freeze the pain away. Antifreeze, however, is not your answer. We use ice to maintain cold temperatures because of the heat adsorbed when the ice melts into water. It takes quite a bit of energy to get the water molecules to leave their solid state and get them moving around in liquid form. Specifically, it takes about 80 calories per gram of water (a calorie and an BTU are both units of heat; they just differ in size). This energy is called the latent heat of fusion, so sometimes simply the heat of fusion. In addition to adsorbing energy as the ice melts, the ice water also adsorbs energy as it heats from 0 C to whatever temperature is too warm to do your back any good. The specific heat of water is quite high, compared to most materials; it is about 1 calorie per degree per gram of water. So, if the melted ice water heats from 0 to about 20 degrees C(barely below room temperature) it will adsorb an additional 20 calories from your aching back. So, the majority of the cooling results from 80 calories adsorbed during the melting process. Antifreeze is a mixture of ethylene glycol and water. It actually performs two functions in an automobile. It depresses the freezing temperature of water and it elevates the boiling point of water so that your car's cooling system can operate over a wider temperature range. So, I looked up the heat of fusion in my Handbook of Chemistry and Physics. And the heat of fusion for ethylene glycol is 43.26 calories per gram, or about half of that of water. So if you freeze a mixture of water and ethylene glycol, you will actually be storing less cooling energy than with pure water. The mixture may be colder, but it will adsorb less energy. There are a couple of other issues to consider, too. Whenever you try to freeze a mixture, one component of the mixture will usually freeze first (often as a pure compound) leaving behind liquid with a different composition. Therefore, if you attempt to freeze a water/antifreeze mixture, you will likely end up with an ice/antifreeze slush, rather than solid cubes of frozen water/antifreeze. Every gram of liquid antifreeze in your slushy mixture represents lost cooling capacity compared with pure water. Antifreeze is also poisonous. Pets love it because it tastes sweet. So if somebody gets hold of your green ice cubes or if you are sloppy with a dog or cat around, the results could be very bad. The last issue to consider is the interaction between your skin and the water/antifreeze mixture. It is possible to produce a water/antifreeze mixture that provides cooling at below the melting point of water (not as much cooling but colder). You could alternately add salt to the melting ice to get the temperature of the mixture well below 0 C. Problem is that these mixtures can also freeze the water in your skin. We call that frostbite (you've seen pictures of frostbitten skin; black, dead, and very painful). If you use a mixture of antifreeze/water or ice/salt on your body, the pain from the frostbite could be a lot worse than what your back is currently experiencing. (When you freeze the water in your cells, it ruptures the cell membranes which hold your cells together - not a happy thing). So, keep the antifreeze in the car; use salt to make homemade ice-cream and perhaps you might focus on white sand beaches with fluffy clouds against a dark blue sky, in a far away place where your girlfriend thinks of you as a normal, attractive person....
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