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Introduction to SAT II Physics - FreeExamPapers

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Just as specific heat tells us how much heat it takes <strong>to</strong> increase the temperature of a substance, the<br />

latent heat of transformation, q, tells us how much heat it takes <strong>to</strong> change the phase of a<br />

substance. For instance, the latent heat of fusion of water—that is, the latent heat gained or lost in<br />

transforming a solid in<strong>to</strong> a liquid or a liquid in<strong>to</strong> a solid—is<br />

J/kg. That means that you<br />

must add<br />

J <strong>to</strong> change one kilogram of ice in<strong>to</strong> water, and remove the same amount of<br />

heat <strong>to</strong> change one kilogram of water in<strong>to</strong> ice. Throughout this phase change, the temperature will<br />

remain constant at 0ºC.<br />

The latent heat of vaporization, which tells us how much heat is gained or lost in transforming a<br />

liquid in<strong>to</strong> a gas or a gas in<strong>to</strong> a liquid, is a different value from the latent heat of fusion. For<br />

instance, the latent heat of vaporization for water is<br />

J/kg, meaning that you must add<br />

J <strong>to</strong> change one kilogram of water in<strong>to</strong> steam, or remove the same amount of heat <strong>to</strong><br />

change one kilogram of steam in<strong>to</strong> water. Throughout this phase change, the temperature will<br />

remain constant at 100ºC.<br />

To sublimate a solid directly in<strong>to</strong> a gas, you need an amount of heat equal <strong>to</strong> the sum of the latent<br />

heat of fusion and the latent heat of vaporization of that substance.<br />

EXAMPLE<br />

How much heat is needed <strong>to</strong> transform a 1 kg block of ice at –5ºC <strong>to</strong> a puddle of water at 10ºC?<br />

First, we need <strong>to</strong> know how much heat it takes <strong>to</strong> raise the temperature of the ice <strong>to</strong> 0ºC:<br />

Next, we need <strong>to</strong> know how much heat it takes <strong>to</strong> melt the ice in<strong>to</strong> water:<br />

Last, we need <strong>to</strong> know how much heat it takes <strong>to</strong> warm the water up <strong>to</strong> 10ºC.<br />

Now we just add the three figures <strong>to</strong>gether <strong>to</strong> get our answer:<br />

Note that far more heat was needed <strong>to</strong> melt the ice in<strong>to</strong> liquid than was needed <strong>to</strong> increase the<br />

temperature.<br />

Thermal Expansion<br />

You may have noticed in everyday life that substances can often expand or contract with a change<br />

in temperature even if they don’t change phase. If you play a brass or metal woodwind instrument,<br />

you have probably noticed that this size change creates difficulties when you’re trying <strong>to</strong> tune<br />

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