Question

The Ka​ values of formic acid and acetic acid are respectively $1.77 \times {10^{ - 4}}$ and $1.75 \times {10^{ - 5}}$ . The ratio of the acid strength of $0.1M\;$ acid is:
(A) $10$
(B) $3.178$
(C) $0.3$
(D) $0.1$
(E) $100$

Answer 1

Acids are substances which go through separation and give protons when disintegrated in Water. At the point when an acid breaks down in water, a proton (hydrogen particle) is moved to a water atom to create a Hydronium particle and a negative particle is shaped relying upon what acid you are beginning with.

Complete Step By Step Solution:
The $pKa$ esteem quantifies the inclination of an acidic solute to move a proton to a standard dissolvable (most regularly water or DMSO), the propensity of an acidic dissolvable to move a proton to a reference solute (most ordinarily a powerless aniline base) is estimated by its Hammett acidity work, the ${H^0}$ esteem. In spite of the fact that these two ideas of acid strength regularly sum to a similar general inclination of a substance to give a proton, the $pKa$ and ${H^0}$ esteems are proportions of unmistakable properties and may infrequently separate.
The strength of acid is contrarily corresponding to the square foundation of separation steady.
${K_{a1}} = 1.77 \times {10^{ - 4}}$
${K_{a2}} = 1.75 \times {10^{ - 5}}$
Proportion of solidarity of acids is
$\dfrac{{S1}}{{S2}} = \sqrt {{{{K_{a1}}} \mathord{\left/ {\vphantom {{{K_{a1}}} {{K_{a2}}}}} \right.} {{K_{a2}}}}} = \sqrt {\left( {1.77 \times {{10}^{ - 4}}/1.75 \times {{10}^{ - 5}}} \right)} = 0.317$
So, the answer is option C.

Additional Information:
Explain the concept of strength of acids.
The strength of a weak acid is measured by its acid separation consistent, $pKa$ esteem. The strength of a powerless natural acid may rely upon substituent impacts. The strength of an inorganic acid is subject to the oxidation state for the particle to which the proton might be appended. Acid strength is dissolvable dependent. The normal proportion of the strength of an acid is its acid separation consistent, which can be resolved tentatively by titration strategies. More grounded acids have a bigger Ka and a more modest logarithmic consistency than more fragile acids. The more grounded a acid is, the more effectively it loses a proton

Note:
Yet, on occasion, acid is so acceptable at parting with Hydrogens that we can consider the response irreversible. In such cases, the acid is $100\%$ ionized. Such acids are known as 'Solid Acids'. Unexpectedly, acids which don't go through complete ionization in water are known as 'Powerless Acids'.