J.R. S. answered 04/21/20
Ph.D. University Professor with 10+ years Tutoring Experience
Density is defined as mass/volume, usually in g/ml or g/L.
We can use the ideal gas law to find moles of NH3, and then convert that to grams of NH3. We will assume that we have 1 liter of NH3.
PV = nRT
solving for moles (n), we have n = PV/RT
n = moles = ?
P = pressure = 800 torr x 1 atm/760 torr = 1.053 atm
V = volume in liters = 1 liter
R = gas constant = 0.0821 Latm/Kmol
T = temperature in Kelvin = 67C + 273 = 340K
n = PV/RT = (1.053)(1)/(0.0821)(340)
n = 0.0377 moles NH3
mass NH3 = 0.0377 moles x 17 g/mol = 0.641 g
Since this is in 1 liter, the density = 0.641 g/liter