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What mass of sugar C(12)H(22)O(11)(M(0)=...

What mass of sugar `C_(12)H_(22)O_(11)(M_(0)=342)` must be dissolved in `4.0 kg` of `H_(2)O` to yield a solution that will freeze at `-3.72^(@)C`. (Take `K_(f)=1.86^(@)C m^(-1)`)

Text Solution

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`Delta T_f=3.72^@C,M_("sugar")=342`
`DeltaT_f=K_f"" (((g_B)/(M_B))/(g_A)xx1000)rArr g_B=(DeltaT_fg_AM_B)/(1000K_f)`
`rArr g_B =(3.72xx4xx10^3xx342)/(1000xx1.86)=2736 gm`
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