2.0 g of N2, H2 and 0.50 g of 9.0 g of O2 are placed in a container of 1.00 L to 27 degrees C, determine the total pressure in the container (presumed ideal gas PV = nRT). using the law of Dalton calculate the partial pressure of O2.
given are the weights of nitrogen, hydrogen and oxygen gases.
we can calculate the number of moles of each gas as
number of moles = weight/molecular weight
number of moles of N2 (n1) = 2/28 = 0.0714 mol
number of moles of H2 (n2)= 0.5/2 = 0.25 mol
number of moles of O2 (n3)= 9/32 = 0.28125 mol
hence total number of moles(n) = 0.0714 + 0.25 + 0.28125 = 0.6 mol
now use ideal gas equation,
PV = nRT
P1 = 0.60.0821300 (temperature T = 27+273 = 300K)
P = 14.778 atm
now for partial pressure of O2
use dalton law,
Pi = yiP (here yi is mole fraction)
P3 = (0.28125/0.6)14.778
P3 = 6.9 atm
hence partial pressure of O2 is 6.9 atm
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