A `50 ml` solution of `pH=1` is mixed with a `50 ml` solution of `pH=2`. The `pH` of the mixture will be nearly

Options

A. `0.76`
B. `1.26`
C. `1.76`
D. `2.26`

Answer

B

Explanation

`pH = 1 , [H^(+)] = 10^(-1) M `
`pH = 2, [H^(+)] = 10^(-2) M `
` M_(1)V_(1) +M_(2)V_(2)=M_(R)(V_(1)+V_(2))`
`10^(-1) xx50 + 10^(-2) xx 50 = M_(R) xx100`
` M_(R) = 5.5 xx10^(-2) M ` (Resultant molarity of `H^(+)` ions )
`pH = - log 5.5 xx1^(-2) = 1.26`