The `K_(a)` value of formic acid and acetic acid are respectively `1.77 xx 10^(-4)` and `1.75 xx 10^(-5)` . The ratio of the acid strength of 0.1 N acids is

Options

A. 100
B. 3.178
C. 0.3
D. 0.1

Answer

B

Explanation

Relative strength of two weak monobasic acids of equal concentration is
`("Strength of HCOOH")/("Strength of "CH_(3)COOH)=sqrt((K_(HCOOH))/(K_(CH_(3)COOH)))`
`=sqrt((1.77 xx10^(-4))/(1.75 xx 10^(5)))`
`=sqrt((17.7)/(1.75))=sqrt(10.11)=3.178`