What volume is occupied by a #7*g# mass of dinitrogen gas at a temperature of #300*K#, and a pressure of #750*mm*Hg#?

1 Answer
Jul 10, 2017

Answer:

#V~=6*L#

Explanation:

Given #V=(nRT)/P#, we know that nitrogen (LIKE most of the elemental gases) is a DIATOM, i.e. #N_2#. We also know that #760*mm*Hg-=1*atm.# This is a key point, as we can use the height of a mercury column as an accurate representation of pressure.

So #V=((7.0*g)/(28.0*g*mol^-1)xx0.0821*(L*atm)/(K*mol)xx300*K)/((750*mm*Hg)/(760*mm*Hg*atm^-1))#

All units EXCEPT #"litres"# cancel, so...........

#~=6*L.......#