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A storage battery contains a solution of...

A storage battery contains a solution of `H_(2)SO_(4) 38%` by weight. At this concentration, the Vant't Hoff factor is `2.50`. At what temperature will the battery contents freeze? `(K_(f)=1.86^(@) mol^(-1) kg)`

Text Solution

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Given, `W_(2)=38 g` ,` W_(H_(2)O)=100-38=62 g`
`:. DeltaT=(1000 xx K_(f) xx W_(2))/(Mw_(2) xx W_(1))`
`:. DeltaT=(1000 xx 1.86xx 38)/(98 xx 62) rArr DeltaT_("normal")=11.633`
Now, `DeltaT_(exp)/DeltaT_(N)=i= 2.50`
`:.DeltaT_(exp)=11.633 xx 2.50 =29.08`
Freezing point =`273-29.08=243.92 K`
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