The discussion revolves around calculating the average temperature of a low-density particle system in space, given specific values for particle density and pressure. The context involves applying the ideal gas law in a non-standard environment.
The conversation has progressed through various clarifications regarding unit conversions, with some participants providing analogies to aid understanding. There is a recognition of the importance of correctly interpreting the problem setup, but no consensus on a final solution has been reached.
Participants express frustration with unit conversions and the implications of density in different units. The original poster acknowledges difficulty in grasping the concept, indicating a learning process that is still ongoing.
I've tried 1.01x10^2m^-3 and it was wrong as wellTSny said:Check your conversion of units for the particle density.
That's 1.0x10^-6TSny said:The particle density is about 1 particle per cm3. How many cm3 are in 1 m3?
1.0 x 10-6 is a number much less than 1. But shouldn't there be a lot of cubic centimeters in one cubic meter? Try to visualize it.gspsaku said:That's 1.0x10^-6
Okay, I must be doing something wrong.TSny said:1.0 x 10-6 is a number much less than 1. But shouldn't there be a lot of cubic centimeters in one cubic meter? Try to visualize it.
Yes, that's correct. So what wold be the conversion from cm-3 to m-3?gspsaku said:Okay, I must be doing something wrong.
1cm = 1.0x10^-2 m
1cm^2 = 1x10^-4 m^2
1cm^3 = 1x10^-6 m^3
Is this not correct?
1m^3 has 1.0x10^6cm^3TSny said:The particle density is about 1 particle per cm3. How many cm3 are in 1 m3?
I think I'm going in circles man...TSny said:Yes, that's correct. So what wold be the conversion from cm-3 to m-3?
Yes. So if, on the average, there are 1.01 particles in each cm3, how many particles are in 1 m3 ?gspsaku said:1m^3 has 1.0x10^6cm^3
1.01x10^-6 but it isn't correct. Have you tried to solve it yet?TSny said:Yes. So if, on the average, there are 1.01 particles in each cm3, how many particles are in 1 m3 ?
In post #9 you correctly stated that 1 m3 has 1.0 x 106 cm3. So there are a million cm3 in 1 m3.gspsaku said:1.01x10^-6 but it isn't correct. Have you tried to solve it yet?
1.0x10^6cm^3TSny said:In post #9 you correctly stated that 1 m3 has 1.0 x 106 cm3. So there are a million cm3 in 1 m3.
You are given that the particle density is 1.01 cm-3. That means there are 1.01 particles per cm3. That is, there are 1.01 particles in one cm3. You want to convert that to how many particles are in one m3. Using the fact that 1 m3 has a million cm3, how many particles would be in 1 m3 ?
Why the units cm3 ? The question was how many particles are in one cubic meter?gspsaku said:1.0x10^6cm^3
I'm sorry, there is a disconnect here. I don't get it and all I am doing is spinning my wheels. I appreciate the attempt and patience at trying to help me with this but it's obvious I don't get it. I assume once the professor shows us the answer, I'll get it.TSny said:Why the units cm3 ? The question was how many particles are in one cubic meter?
How would you answer the following?
You know there are 1.01 particles in each cm3 of space. So, how many particles are in 2 cm3 of space?
Okay, I will continue to try and work this out.TSny said:OK. It might be the way I'm trying to get you to see it that's not working. I think it's similar to the following.
If I told you that on the average each house in a certain town has 3 people inside and if there are 1000 houses in the town, then how many people are inside houses in this town?
Likewise, if each cm3 of space has 1.01 particles and if you have a volume that contains 1 million cm3, then how many particle do you have?
(Think of each cm3 as a little cube. A volume of 1 m3 contains a million of these little cubes.)
Wouldn't it just be 1.01x106?TSny said:Yes. Good. You have 1,010,000 particles in 1 m3. Or, you can express it as 1.01 x 106 particles in 1 m3.
So, what is the particle density, p, in particles per m3?
Thanks for your patience and help. Man, I always thought I was okay with my unit conversions but the m-3 really messed me up. Again, thank you for sticking through with me in this process. I was so close to just giving up as I got so frustrated because it wasn't something difficult but it felt like I was on some sort of advanced calc problem and it was just a simple conversion. Thank you, thank you, thank youTSny said:Yes. That's right. So, p = 1.01 x 106 particles per m3. This may be written as p = 1.01 x 106 m-3 .