What Temperature Triples the RMS Speed of an Ideal Gas?

[nickb145]

Homework Statement

An ideal gas has rms speed vrms at a temperature of 288K .

At what temperature is the rms speed tripled?

Homework Equations

P=(NmV²)/3V

The Attempt at a Solution

I'm kind of stumped on this one. Other ones I've done are pretty simple to figure out, but the temperature is what is kicking me

 

[cepheid]

What is the mathematical relationship between rms speed and temperature for an ideal gas? That would be a relevant equation here.

 

[nickb145]

What is the mathematical relationship between rms speed and temperature for an ideal gas? That would be a relevant equation here.

Ok so the ideal gas equation is PV=NkbT

Since i see pressure there i divided the volume so i can get P=(NkbT)/v

I set the 2 equations equal to each other and simplified to get T=(mv²)/Kb

if that makes any sense.

 

[ehild]

Think of the equipartition principle. http://hyperphysics.phy-astr.gsu.edu/hbase/kinetic/eqpar.html

ehild