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So you just strained a muscle and the inflammation is unbearable.
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You wish you had something ice-cold to dull the pain,
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but to use an ice pack, you would have had to put it in the freezer hours ago.
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Fortunately, there's another option.
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A cold pack can be left at room temperature until the moment you need it,
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then just snap it as instructed and within seconds you'll feel the chill.
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But how can something go from room temperature to near freezing
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in such a short time?
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The answer lies in chemistry.
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Your cold pack contains water and a solid compound,
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usually ammonium nitrate, in different compartments separated by a barrier.
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When the barrier is broken, the solid dissolves
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causing what's known as an endothermic reaction,
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one that absorbs heat from its surroundings.
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To understand how this works,
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we need to look at the two driving forces behind chemical processes:
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energetics and entropy.
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These determine whether a change occurs in a system and how energy flows if it does.
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In chemistry, energetics deals with the attractive and repulsive forces
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between particles at the molecular level.
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This scale is so small that there are more water molecules in a single glass
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than there are known stars in the universe.
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And all of these trillions of molecules are
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constantly moving, vibrating and rotating at different rates.
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We can think of temperature as a measurement of the average motion,
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or kinetic energy, of all these particles,
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with an increase in movement meaning an increase in temperature,
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and vice versa.
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The flow of heat in any chemical transformation
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depends on the relative strength of particle interactions
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in each of a substance's chemical states.
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When particles have a strong mutual attractive force,
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they move rapidly towards one another, until they get so close,
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that repulsive forces push them away.
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If the initial attraction was strong enough,
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the particles will keep vibrating back and forth in this way.
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The stronger the attraction, the faster their movement,
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and since heat is essentially motion,
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when a substance changes to a state in which these interactions are stronger,
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the system heats up.
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But our cold packs do the opposite,
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which means that when the solid dissolves in the water,
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the new interactions of solid particles and water molecules with each other
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are weaker than the separate interactions that existed before.
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This makes both types of particles slow down on average,
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cooling the whole solution.
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But why would a substance change to a state where the interactions were weaker?
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Wouldn't the stronger preexisting interactions keep the solid from dissolving?
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This is where entropy comes in.
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Entropy basically describes how objects and energy
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are distributed based on random motion.
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If you think of the air in a room, there are many different possible arrangements
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for the trillions of particles that compose it.
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Some of these will have all the oxygen molecules in one area,
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and all the nitrogen molecules in another.
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But far more will have them mixed together,
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which is why air is always found in this state.
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Now, if there are strong attractive forces between particles,
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the probability of some configurations can change
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even to the point where the odds don't favor certain substances mixing.
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Oil and water not mixing is an example.
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But in the case of the ammonium nitrate, or other substance in your cold pack,
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the attractive forces are not strong enough to change the odds,
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and random motion makes the particles composing the solid separate
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by dissolving into the water and never returning to their solid state.
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To put it simply, your cold pack gets cold because random motion
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creates more configurations where the solid and water mix together
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and all of these have even weaker particle interaction,
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less overall particle movement,
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and less heat than there was inside the unused pack.
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So while the disorder that can result from entropy
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may have caused your injury in the first place,
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its also responsible for that comforting cold that soothes your pain.