One litre of `0.15 M HCl` and one ltire of `0.3 M HCl` is given. What is the maximum volume of `0.2 M HCl` which one can make from these two solution. No water is added.

Options

A. 1.2 L
B. 1.5 L
C. 1.3 L
D. 1.4 L

Answer

B

Explanation

Since no water added, so volume of solution cannot exceed 2 L. So, less concentrated solution should be taken in its total volume.
Only the small portion of more concentrated solution is to be mixed, so that the total concentrated is less than (0.3 M HCl).
Let x L of 0.3 M solution is mixed. Total volume = (x + 1) L
`M_(1)V_(1) + M_(2)V_(2) = M_(3)V_(3) [V_(3)(1+x)L , 0.3 xx xL + 0.15 xx 1L = M_(3)(1+x)L`
Final molarity = 0.2 M , 0.3x + 0.15 = 0.2(1 + x) , X = 0.5 L
Maximum volume = 1 + 0.5 = 1.5 L