How Does Temperature Affect the RMS Speed of Helium Atoms?

AI Thread Summary
The discussion focuses on calculating the root mean square (RMS) speed of helium atoms at a temperature of 247 K, using the equation RMS speed = sqrt(3RT/M). The atomic mass of helium is provided as 4.00 AMU, and the conversion factor for AMU to kg is noted. Participants confirm that the equation is appropriate for this calculation. Additionally, there is a question about determining the RMS speed if the temperature is doubled, indicating a need for further exploration of the relationship between temperature and RMS speed. The conversation emphasizes the importance of using the correct formula for these calculations.
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Homework Statement


What is the RMS speed of Helium atoms when the temperature of the Helium gas is 247 K? (Possibly useful constants: the atomic mass of Helium is 4.00 AMU, the Atomic Mass Unit is: 1 AMU = 1.66×10-27 kg, Boltzmann's constant is: kB = 1.38×10-23 J/K.)

What would be the RMS speed, if the temperature of the Helium gas was doubled?

Homework Equations


sq rt of 3RT/M


The Attempt at a Solution


is that the right equation to use? I am having a hard time with this one
 
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Yes, you can use that equation.
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
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Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
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