Part A: Consider a monatomic gas of particles each with mass m. What is Vx,rms =,v²), the root mean square (rms) of the x component of velocity of the gas particles if the gas is at an absolute temperature T? Express your answer in terms of T, KB, m, and other given quantities. Hint: For this case, the Equipartition Theorem reduces to m(v)=kgT. Vx,rms=J{v%) = ? Part B: Now consider the same system a monatomic gas of particles of mass m, except in three dimensions. Find vx,rms, the rms speed if the gas is at an absolute temperature T. Express your answer in terms of T, KB, m, and other given quantities.

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Part A:
Consider a monatomic gas of particles each with mass m. What is
Vx,rms
=,v²), the root mean square (rms) of the x component of velocity of the
gas particles if the gas is at an absolute temperature T?
Express your answer in terms of T, KB, m, and other given quantities.
Hint: For this case, the Equipartition Theorem reduces to m(v)=kgT.
Vx,rms=J{v%) = ?
Part B:
Now consider the same system a monatomic gas of particles of mass m, except
in three dimensions. Find vx,rms, the rms speed if the gas is at an absolute
temperature T.
Express your answer in terms of T, KB, m, and other given quantities.
Transcribed Image Text:Part A: Consider a monatomic gas of particles each with mass m. What is Vx,rms =,v²), the root mean square (rms) of the x component of velocity of the gas particles if the gas is at an absolute temperature T? Express your answer in terms of T, KB, m, and other given quantities. Hint: For this case, the Equipartition Theorem reduces to m(v)=kgT. Vx,rms=J{v%) = ? Part B: Now consider the same system a monatomic gas of particles of mass m, except in three dimensions. Find vx,rms, the rms speed if the gas is at an absolute temperature T. Express your answer in terms of T, KB, m, and other given quantities.
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