The volumes of two HCl solution A `(0.5 M)` and `B (0.1M)` to be mixed for preparing 2 L of 0.2 M HCl are

Options

A. 0.5 L of A + 1.5 L of B
B. 1.5 L of A + 0.5 L of B
C. 1 L of A + 1 L of B
D. 0.75 L of A + 1.25 L of B

Answer

A

Explanation

Let x L of A and `(2-x)` L of B are mixed
`M_(1)V_(1)+M_(2)V_(2)=M_(R)(V_(1)+V_(2))`
`0.5xx x+0.1(2-x)=0.2xx2`
`(0.5-0.1)x=0.4-0.2`
`0.4x=0.2`
`x=0.5L`
`:.` 0.5 L of A and 1.5 L of B should be mixed].