Which solution is isotonic with 0.2 M H_2SO | vedclass

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Question

(B) Two solutions are isotonic if they have the same osmotic pressure,which implies they have the same molar concentration of particles (osmolarity).F

Vedclass · Accepted Answer

$0.3 \ M \ HCl$

Vedclass · Answer

(B) Two solutions are isotonic if they have the same osmotic pressure,which implies they have the same molar concentration of particles (osmolarity).For $H_2SO_4$,it dissociates as: $H_2SO_4 ightarrow 2H^+ + SO_4^{2-}$.The van't Hoff factor $i = 3$.Osmolarity of $0.2 \ M \ H_2SO_4 = i 	imes M = 3 	imes 0.2 = 0.6 \ M$.Now,check the options:$A$: $0.4 \ M \ HCl ightarrow i = 2, 	ext{osmolarity} = 2 	imes 0.4 = 0.8 \ M$.$B$: $0.3 \ M \ HCl ightarrow i = 2, 	ext{osmolarity} = 2 	imes 0.3 = 0.6 \ M$.$C$: $0.1 \ M \ HNO_3 ightarrow i = 2, 	ext{osmolarity} = 2 	imes 0.1 = 0.2 \ M$.$D$: $0.2 \ M \ HNO_3 ightarrow i = 2, 	ext{osmolarity} = 2 	imes 0.2 = 0.4 \ M$.Since $0.3 \ M \ HCl$ has the same osmolarity $(0.6 \ M)$ as $0.2 \ M \ H_2SO_4$,it is isotonic. The correct option is $B$.

Which solution is isotonic with $0.2 \ M \ H_2SO_4$?

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