I have a sealed container that is pressurised with Nitrogen. When calculating the density of a gas
inside a container using
d = (M * P) / (R *T)
M = molar mass, P = pressure, R = gas constant, T = temperature.
When putting in the molar mass for nitrogen do i need to put in the value of N = 14.0067, or that
of N2 = 28.0134, given that N2 is the natural state? Also, why?
Thank you
Solution
See, the pressure in the container is due to N2 gas not due to N atoms. So, the molar mass that
should be taken is of N2 gas.
Also, this expression is basically derived from ideal gas equation: PV = n RT
Where n is number of moles of gas
n = given mass of gas(m)/molar mass of gas(M)
Here molar mass is for gas( if nitrogen then N2)
PV = mRT/M
PM = mRT/V
P×M/(R×T) = m/ V = d
d = P*M/(R*T)
So, molar mass taken is of N2
I have a sealed container that is pressurised with Nitrogen- When calc.docx

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I have a sealed container that is pressurised with Nitrogen- When calc.docx

  • 1. I have a sealed container that is pressurised with Nitrogen. When calculating the density of a gas inside a container using d = (M * P) / (R *T) M = molar mass, P = pressure, R = gas constant, T = temperature. When putting in the molar mass for nitrogen do i need to put in the value of N = 14.0067, or that of N2 = 28.0134, given that N2 is the natural state? Also, why? Thank you Solution See, the pressure in the container is due to N2 gas not due to N atoms. So, the molar mass that should be taken is of N2 gas. Also, this expression is basically derived from ideal gas equation: PV = n RT Where n is number of moles of gas n = given mass of gas(m)/molar mass of gas(M) Here molar mass is for gas( if nitrogen then N2) PV = mRT/M PM = mRT/V P×M/(R×T) = m/ V = d d = P*M/(R*T) So, molar mass taken is of N2