the volumes of 1M HCl and  5M HCl to be mixed to get 2 lit of 2M HCl are? (ans : 1.5lit and 0.5lit)

Dear Student,

Let us suppose that the volume of 1M HCl (V1) = x L

So, Volume of 5M HCl required to make 2 L of 2 M HCl (V2) = (2-x) L

Let us take M1 = 1 M and M2 = 5 M, 

We know that, Molarity of a mixture is given by the equation :

(M1V1 + M2V2) / (V1 + V2) = M3
( x + 5(2-x) ) /2 = 2
x + 10 - 5x = 4
x = 1.5 L

Therefore, Volume of 1M HCl = 1.5 L

and Volume of 5 M HCl = (2-x) L = (2-1.5 ) L = 0.5 L

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