Question

A container of nitrogen (an ideal diatomic gas, molecular weight=28) is at a pressure of 2 atm and has a mass density of 1.5 grams per liter. What is the typical speed of the nitrogen molecules in the container? What is the root-mean-square velocity (vrms) of the center of mass of one of the molecules?

vrms =

Answer 1

572m/s

Step-by-step explanation:

Vrms=√(3RT/m)

Were R = 8.314

M molecular weight= 28g/mol= 0.028kg/mol

T in temperature

Recall PV=mRT

Also P*Density/R=T

T= 2*1.5/0.0821=367K

Vrms=√(3*8.314*367/0.028)=572m/s