Answer:
0.99g/L
Explanation:
Let us obtain an express for the density based on the data given from the question. This is illustrated below:
PV = nRT
V = nRT/P (1)
But: n = Mass(m) /Molar Mass (M) i.e n = m/M.
Substituting the value of n into equation 1, we have:
V = nRT/P
V = mRT/MP
Now, divide both side by m
V/m = RT/MP
Now, let us invert the above equation:
m/V = MP /RT. (2)
But: Density = m/V
Replacing m/V with Density in equation 2, we have :
Density = MP /RT
Data obtained from the question:
Molar Mass (M) = 2.016 g/mol
P = 4.77 atm
T = 118k
R = 0.082atm.L/mol.K
Density = MP /RT
Density = (2.016 x 4.77) /(0.082x118)
Density = 0.99g/L