In: Chemistry
A gas cylinder contains 2.30 mol He, 1.35 mol Ne, and 1.75 mol Ar. If the total pressure in the cylinder is 2290 mmHg, what is the partial pressure of each of the components? Assume constant temperature.
P(He) = ?
P(Ne) = ?
P (Ar) = ?
no of moles of He nHe = 2.3 moles
no of moles of Ne n Ne = 1.35 moles
no of moles of Ar n Ar = 1.75 moles
mole fraction of He (X He) = n He/n He + n Ne + n Ar
= 2.3/2.3+1.35 + 1.75
= 2.3/5.4 = 0.426
mole fraction of Ne (X Ne) = n Ne/n He + n Ne + n Ar
= 1.35/2.3+1.35 + 1.75
= 1.35/5.4 = 0.25
mole fraction of Ar (X Ar) = n Ar/n He + n Ne + n Ar
= 1.75/2.3+1.35 + 1.75
= 1.75/5.4 = 0.324
total pressure (PT) = 2290mmHg
partial pressure of He (PHe) = X He* PT
= 0.426*2290 = 975.54mmHg
partial pressure of Ne (PNe) = X Ne* PT
= 0.25*2290 = 572.5mmHg
partial pressure of Ar (PAr) = X Ar* PT
= 0.324*2290 = 741.96mmHg