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  • What will be the depression in freezing point of Water when   of acetic acid is dissociated when its &

What will be the depression in freezing point of Water when 40 \%  of acetic acid is dissociated when its  10 \mathrm{~g}  is added to 550 \mathrm{ml} water.

Option: 1

3.687


Option: 2

5.843


Option: 3

0.789


Option: 4

1.869


Answers (1)

best_answer

\mathrm{\text { Mass of} \text { water }\left(w_A\right)=550 \mathrm{~g} }

\text { Mass of } \mathrm{CH_3COOH\left(w_B\right)=10 \mathrm{~g}}
\mathrm{ \Delta T_f=i \mathrm{~K}+\times m }
\mathrm{ \Delta T_f=i \times K_f \times \frac{w_B}{M_B \times w_A} \times 1000 }

for  i :-
\alpha=0.4 \quad                   

\quad \mathrm{CH}_3 \mathrm{COOH} \rightleftharpoons \mathrm{CH}_3 \mathrm{COO}^{-}+\mathrm{H}^{+}

\mathrm{n=2 \text { for acetic acid }}
\\\mathrm{i=1-\alpha+n \alpha} \\ \mathrm{i=1-0.4+2(0.4)}                       
\mathrm{ i=0.6+0.8 }
\mathrm{ i=1.4 }
\mathrm{ \Delta T_f=i \times K_f \times \frac{w_B}{M_B \times w_A} \times 1000 }

\\\mathrm{ \Delta T_f=1.4 \times 1.86 \frac{10 \times 1000}{60 \times 550} }\\\\ \mathrm{\Delta T_f=0.789 }.

Posted by

Ritika Harsh

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