Mean Free Path and Heat Capacity of Gases Flashcards

1
Q

sqrt() =

A

vrms

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2
Q

vrms =

A

sqrt(3kbT/m) = sqrt(3RT/M)

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3
Q

At the same temperature different gas molecules move with

A

different vrms

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4
Q

collisions between molecules

mean free path - λ

A

λ = vtmean

λ = kbT/4sqrt(2)πr^2p

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5
Q

Heat Capacity

A

adding some heat dQ increases temperature by dT

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6
Q

Ktr

A

monatomic

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7
Q

for diatomic and polyatomic molecules

A

there are other forms of kinetic energy

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8
Q

principle of equipartition of energy

A

Each component of energy has an average an associated energy per molecule of 1/2kbT

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9
Q

Degrees of freedom

A

Number of energy components required to describe motion of a molecule

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10
Q

Heat capacities at constant volume

A
Cv = (3/2)R Monatomic
Cv = (5/2)R Diatomic
Cv = (7/2)R

depending on degrees of freedom,

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