Gaseous StateHard

Question

A gaseous mixture of three gases A, B and C has a pressure of 10 atm. The total number of moles of all the gases is 10. If the partial pressure of A and B are 3.0 and 1.0 atm respectively and if C has mol. wt. of 2.0, what is the weight of C in g present in the mixture ?

Options

A.6
B.8
C.12
D.3

Solution

Pressure of Total mixture = 10 atm
PA + PB + PC = 10
3 + 1 + PC = 10     ⇒    PC = 6 atm
Total moles of mixture = 10
nA + nB + nC = 10
   ⇒  
Let nA = K ⇒   nB =      nc =      nB = 2K
⇒   K + + 2K = 10    ⇒        ⇒ nC = 2K
⇒   K= 10    K = 3,   ⇒  nA = 3
nB = 1       
nC = 6
∴  weight of ′C′ in mixture = 2 × 6 = 12

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