Calculate the freezing point of an aqueous solution containing `10.5g` of Magnesium bromide in 200 g of water, assuming complete dissociation of Magnesium bromide.
(Molar mass of magnesium bromide `=184 g mol ^(-1)`, for water `=1.86K kg mol^(-)`).

Explanation

`MgBr_2to Mg^(2+)+2Br^(-)`
Complete dissociation. Hence `i=3`
`W_8=10.5g`
`W_(A)=200g`
`K_f=1.86g kg//mol`
`M_B=184g//mol`
`Delta =ixxK_(f)xx(W_(B))/(M_(B)xxW_(A)(Kg))`
`T_(A)^(0)-T_(S)=(3xxoverset(0.93)cancel1.86xx10.5xxoverset(cancel5)cancel1000)/(184xxcancel200xxcancelunderset(2)(10))`
`Delta T_(f)=0.15K`
`T_(S)=T_(A)^(0)-0.15=273.15-0.15`
`T_(S)=273K`