Answer:
0.084g/L
Explanation:
First, let us obtain an expression for the density. This is illustrated below:
PV = nRT. (1)
V = nRT/P (2)
But n = Mass(m) /Molar Mass (M)
n = m/M
Substituting the value of n into equation 2
V = nRT/P
V = mRT/MP
Divide both side by m
V/m = RT/MP (3)
Invert equation 3
m/V = MP/RT (4)
But Density = Mass(m) /volume(V)
Density = m/V
Replace m/V with Density in equation 4
m/V = MP/RT
Density = MP/RT
The following data were obtained from the question:
P = 12 Torr
760torr = 1atm
12torr = 12/760 = 0.016atm
T = 80°C = 80 +273 = 353K
R = 0.082atm.L/K /mol
Molar Mass (M) of C10H16O = (12x10) + (16x1) + 16 = 120 + 16 + 16 = 152g/mol
Density =?
Density = MP/RT
Density = (152 x 0.016)/(0.082x353)
Density = 0.084g/L
