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The rms speed for a particle in a gas can be calculated using the formulae:
u[itex]_{rms}[/itex]=[itex]\sqrt{\int(u^{2}n(u)du)/N}[/itex]
a) Use the formulae and the expression for n(u):
n(u)=([itex]\frac{2^{1/2}N}{\pi^{1/2}}[/itex])([itex]\frac{m}{k_{B}T}[/itex])[itex]^{3/2}[/itex]u[itex]^{2}[/itex]exp(-[itex]\frac{mu^{2}}{2k_{B}T})[/itex]
To estimate the rms speed of Ne atoms in a gas at 300k given that the mass of an Ne atom is 3.32x10[itex]^{-26}[/itex]kg.
b)What is the rms speed of particles emerging from an oven with walls at 500k?
I have done a) and got the answer ([itex]\frac{3k_{B}T}{m}[/itex])[itex]^{1/2}[/itex] and then I got a numerical value.
I am stuck on b) Is the equation to find the rms speed for a particle emerging from an oven different to the rms equation above. I know in my notes the total flux that emerges from the oven is proportional to [itex]\int(un(u)du)[/itex]
Any help would be great thanks
u[itex]_{rms}[/itex]=[itex]\sqrt{\int(u^{2}n(u)du)/N}[/itex]
a) Use the formulae and the expression for n(u):
n(u)=([itex]\frac{2^{1/2}N}{\pi^{1/2}}[/itex])([itex]\frac{m}{k_{B}T}[/itex])[itex]^{3/2}[/itex]u[itex]^{2}[/itex]exp(-[itex]\frac{mu^{2}}{2k_{B}T})[/itex]
To estimate the rms speed of Ne atoms in a gas at 300k given that the mass of an Ne atom is 3.32x10[itex]^{-26}[/itex]kg.
b)What is the rms speed of particles emerging from an oven with walls at 500k?
I have done a) and got the answer ([itex]\frac{3k_{B}T}{m}[/itex])[itex]^{1/2}[/itex] and then I got a numerical value.
I am stuck on b) Is the equation to find the rms speed for a particle emerging from an oven different to the rms equation above. I know in my notes the total flux that emerges from the oven is proportional to [itex]\int(un(u)du)[/itex]
Any help would be great thanks