Joule's Law states, "The change of internal energy of a perfect gas is directly proportional to the change of temperature." Mathematically,
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)
where
m = Mass of the gas, and
c = A constant of proportionality, known as specific heat.
Note: From the Joule's law, we see that whenever a gas expands, without doing any external work and without taking in or giving out heat, its internal energy as well as temperature does not change.
where
m = Mass of the gas, and
c = A constant of proportionality, known as specific heat.
Note: From the Joule's law, we see that whenever a gas expands, without doing any external work and without taking in or giving out heat, its internal energy as well as temperature does not change.
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