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Formulas Chapter 15

# Formulas Chapter 15 - Chapter 15"Thermodynamics The Zeroth...

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Chapter 15 - "Thermodynamics" The Zeroth Law of Thermodynamics Two systems individually in thermal equilibrium with a third system are in thermal equilibrium with each other. The First Law of Thermodynamics U = U f – U i = Q - W Due to heat Q and work W, the internal energy of a system changes from its initial value of U i to a final value of U f . Thermal Processes A thermal process is quasi-static when it occurs slowly enough that a uniform pressure and temperature exist throughout the system at all times. An isobaric process is one that occurs at constant pressure. The work W done when a system changes at a constant pressure P from an initial volume V i to a final volume V f is W = P V = P(V f – V i ) An isochoric process is one that takes place at constant volume, and no work is done on such a process. An isothermal process is one that takes place at constant temperature. An adiabatic process is one that takes place without the transfer of heat. The work done in any kind of quasi-static process is given by the area under the corresponding pressure-versus-volume graph. Thermal Processes Using an Ideal Gas When n moles of an ideal gas change quasi-statically from an initial volume V i to a final volume V f at a constant Kelvin temperature T, the work done is W = nRT ln (V f /V i )

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When n moles of a monatomic ideal gas change quasi-statically and adiabatically from an initial temperature T i to a final temperature T f , the work done is W = 3 nR(T i – T f ) 2
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Formulas Chapter 15 - Chapter 15"Thermodynamics The Zeroth...

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