Gas Collisions in Containers: Comparing Ratios of Wall Collisions"

AI Thread Summary
The discussion centers on calculating the ratio of gas wall collisions in two containers with differing temperatures. One gas has a Kelvin temperature four times that of the other, leading to a query about the correct ratio of collisions. The user has derived that the number of moles in the hotter gas is four times that of the cooler gas but is unsure how to proceed. Suggestions include using the root mean square speed (Urms) and the relationship between kinetic energy and collisions to find the answer. The conversation emphasizes the importance of clearly defining variables and applying relevant equations to solve the problem effectively.
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Homework Statement


You have two samples of the same gas in the same size container, with the same pressure. The gas in the first container has a kelvin temperature four times that of the gas in the other container.

The ratio of number of collisions with the wall in the first container compared to that in the second is:
A) 1:1
B) 4:1
C) 1:4
D) 2:1
E) 1:2

Homework Equations


PV=nRT
Urms = sqrt(3.R.T/M)
collisions= m.Urms^2
Kinetic energy average= 3/2 RT

The Attempt at a Solution


I find that n2 = 4n1
but what I should do after that?
I tried relating the kinetic energy but it didn't work with me.
How we can approach to such problems? What rules should we use
 
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Any Help said:

Homework Statement


You have two samples of the same gas in the same size container, with the same pressure. The gas in the first container has a kelvin temperature four times that of the gas in the other container.

The ratio of number of collisions with the wall in the first container compared to that in the second is:
A) 1:1
B) 4:1
C) 1:4
D) 2:1
E) 1:2

Homework Equations


PV=nRT
Urms = sqrt(3.R.T/M)
collisions= m.Urms^2
Kinetic energy average= 3/2 RT

The Attempt at a Solution


I find that n2 = 4n1
but what I should do after that?
I tried relating the kinetic energy but it didn't work with me.
How we can approach to such problems? What rules should we use

It is a bit difficult to help since you don't define the meaning of any variables. Some of them are maybe obvious. But, what is ##m## and ##M##?
if ##m## is the mass/particle and ##M## is the total you would have ##M/m=n##. However, I would start by putting the expressions for ##U_{\mathrm{rms}}## in the expression for "collisions", leading to an expression for "collisions" depending on ##m/M##.
 
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