Kinetic Theory of Gases Problem

AI Thread Summary
The problem requires determining the temperature at which the root mean square (rms) speed of hydrogen molecules equals that of oxygen molecules at 300K. The key concept is that temperature is directly proportional to the average translational kinetic energy of gas molecules. The rms speed depends on both temperature and molecular mass, which can be expressed using the kinetic theory of gases formula. The solution indicates that the required temperature for hydrogen is 19K. Understanding the relevant formulas simplifies the problem significantly.
ucdawg12
Messages
10
Reaction score
0
ok, I am having trouble understanding exactly what this problem wants from me, its asking:

At what temperature would the translational rms speed of hydrogen molecules be equal to that of oxygen molecules at 300K?

and the answer it gives me is 19K... but I really have no idea where to even start at on this problem
 
Physics news on Phys.org
Temperature is a measure of the average translational KE of the molecules in the gas. (They are directly proportional.) So how would the rms speed depend on temperature and mass?
 
Try searching for some formula on Kinetic theory of gases!

Once you get hold of the formula, it is very simple.

(the formula is simple too)
 

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...
View full post »
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...
View full post »

Similar threads

RMS velocity of molecules in a mixture
Replies
7
Views
2K
Mixing two gases in an isolated system and calculating final p and T
Replies
4
Views
2K
How does the distance between molecules affect temperature?
Replies
8
Views
2K
Root Mean Square Velocity of Gases
Replies
1
Views
1K
Conservation of Momentum Problem - Mechanical and Kinetic Energies
Replies
2
Views
900
I Is GHG Theory/GW in conflict with Kinetic Theory of Gases?
Replies
6
Views
2K
Kinetic theory of gases theory question
Replies
4
Views
4K
##v_{rms}## in the Kinetic Theory Of Gases
Replies
2
Views
1K
Temperature as a measure of the kinetic energy of molecules
Replies
13
Views
2K
Confused about a conservation of energy problem
Replies
4
Views
2K

Hot Threads

Recent Insights

Back
Top