Root mean square velocity question

AI Thread Summary
The discussion revolves around calculating the root mean square (Vrms) velocity at different temperatures, specifically comparing 120 K and 480 K. Participants emphasize the need to use the formula Vrms = √(3P/density) and relate pressure to temperature using the ideal gas law, PV = nRT. There is a consensus that pressure has a direct relationship with temperature, which can be used to derive the necessary calculations. The conversation highlights the importance of showing effort in problem-solving while providing guidance on the algebra involved. Ultimately, the focus is on understanding the relationship between Vrms, pressure, and temperature.
Insiya
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If at 120 K the Vrms is v , then at 480 K it will be

a. 1
b. 2
c. 3
d. 4
Which formula is to be used here? Plz solve this.
 
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We don't solve anything here. We can help, but only if you show some effort.
 
Ok.. but I couldn't understand it.. The formula mentioned in my book is Vrms= radical 3P/density so...What to do next?
 
Are you saying there is no equation linking r. m. s. velocity and temperature that you know of?
 
No.. I am not saying this.. This formula also shows relation with temperature but how to continue..?
 
Perhaps you could express how pressure depends on temperature?
 
Pressure has direct relation with temperature
 
What is the equation?
 
PV=nRT
 
  • #10
Use this and the equation given for r. m. s. velocity to relate the latter with T.
 
  • #11
Any clue?
 
  • #12
The clue is in #10. The rest is just algebra.
 
  • #13
ok.. Thank U
 
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