Question

A vessel contains a mixture of 7 gm of nitrogen and 11 gm of carbon dioxide at room temprature t = 290k. if the pressure of the mixture p = 1 atm, calculate the its density

Answer 1

Density = mass/volume
mass=7+11=18
the value of volume is calculated from equation PV=nRT
Volume=119
Density=18/119=0.15

Answer 2

Using the formula for gas

PM = d RT (here P = pressure, M = molecular mass of mixture, d =density of mixture, R = gas constant, T = temp)

d =PM/RT

now mass of mixture = weight / number of moles

now number of moles = moles of nitrogen +moles of carbon dioxide

= weightmolecular mass = wnmn+wcomco = 728+1144 = 14+14 = 12gramand weight of mixture = 7+11 = 18 gram

mass of mixture =

1812 = 36 gram

now equating in equation

1.01×105×36×10−38.31×290 =0.015×102=1.5kg/m3