14) A gaseous mixture containing 50 g of nitrogen and 10 g of oxygen were enclosed in a vessel of 10 L capacity at 27 °   C . Calculate :
a) the number of moles of each gas
b) the partial pressure of each gas
c) the total pressure of the gaseous mixture

a) Number of moles = Given massMolar mass Number of moles of oxygen = 1032 = 0.3125Number of moles of nitrogen = 5028 = 1.7857b) As per ideal gas equationpV= nRTp = nRTV  Pressure of oxygen = 0.3125 × 0.0821 × 30010 = 0.7697 atm Pressure of nitrogen = 1.7857 × 0.0821 × 30010 = 4.3982 atmc) Total pressure = Pressure of oxygen +  Pressure of nitrogen = 0.7697 +4.3982  =5.1679 atm 

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no of moles of O2=mass molecular weight=10/32=0.3125              
partial pressure of O2=0.3125*0.0821*300/10=0.77 atm​
no of moles of N2= 50/14= 3.57
partial pressure of N2=3.57*0.0821*300/10=8.79 atm
Total pressure=0.77+8.79=9.56atm
   
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