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Introduction to SAT II Physics - FreeExamPapers

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in Kelvins are always positive. Absolute zero, 0 K, which is equivalent <strong>to</strong> –273ºC, is the lowest<br />

theoretical temperature a material can have. Other than the placement of the zero point, the Kelvin<br />

and Celsius scales are the same, so water freezes at 273 K and boils at 373 K.<br />

Definition of Temperature<br />

The temperature of a material is a measure of the average kinetic energy of the molecules that<br />

make up that material. Absolute zero is defined as the temperature at which the molecules have<br />

zero kinetic energy, which is why it is impossible for anything <strong>to</strong> be colder.<br />

Solids are rigid because their molecules do not have enough kinetic energy <strong>to</strong> go anywhere—they<br />

just vibrate in place. The molecules in a liquid have enough energy <strong>to</strong> move around one another—<br />

which is why liquids flow—but not enough <strong>to</strong> escape each other. In a gas, the molecules have so<br />

much kinetic energy that they disperse and the gas expands <strong>to</strong> fill its container.<br />

Heat<br />

Heat is a measure of how much thermal energy is transmitted from one body <strong>to</strong> another. We<br />

cannot say a body “has” a certain amount of heat any more than we can say a body “has” a certain<br />

amount of work. While both work and heat can be measured in terms of joules, they are not<br />

measures of energy but rather of energy transfer. A hot water bottle has a certain amount of<br />

thermal energy; when you cuddle up with a hot water bottle, it transmits a certain amount of heat<br />

<strong>to</strong> your body.<br />

Calories<br />

Like work, heat can be measured in terms of joules, but it is frequently measured in terms of<br />

calories (cal). Unlike joules, calories relate heat <strong>to</strong> changes in temperature, making them a more<br />

convenient unit of measurement for the kinds of thermal physics problems you will encounter on<br />

<strong>SAT</strong> <strong>II</strong> <strong>Physics</strong>. Be forewarned, however, that a question on thermal physics on <strong>SAT</strong> <strong>II</strong> <strong>Physics</strong><br />

may be expressed either in terms of calories or joules.<br />

A calorie is defined as the amount of heat needed <strong>to</strong> raise the temperature of one gram of water by<br />

one degree Celsius. One calorie is equivalent <strong>to</strong> 4.19 J.<br />

You’re probably most familiar with the word calorie in the context of a food’s nutritional content.<br />

However, food calories are not quite the same as what we’re discussing here: they are actually<br />

Calories, with a capital “C,” where 1 Calorie = 1000 calories. Also, these Calories are not a<br />

measure of thermal energy, but rather a measure of the energy s<strong>to</strong>red in the chemical bonds of<br />

food.<br />

Specific Heat<br />

Though heat and temperature are not the same thing, there is a correlation between the two,<br />

captured in a quantity called specific heat, c. Specific heat measures how much heat is required <strong>to</strong><br />

raise the temperature of a certain mass of a given substance. Specific heat is measured in units of<br />

J/kg · ºC or cal/g · ºC. Every substance has a different specific heat, but specific heat is a constant<br />

for that substance.<br />

For instance, the specific heat of water, , is J/kg · ºC or 1 cal/g · ºC. That means it<br />

takes<br />

joules of heat <strong>to</strong> raise one kilogram of water by one degree Celsius. Substances<br />

that are easily heated, like copper, have a low specific heat, while substances that are difficult <strong>to</strong><br />

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