31 g of ethylene glycol ( C 2 H 6 O 2) is dissolved in 600 g of water. The freezing point depression of the solution is (Kf. for water is 1.86 K kg mol -1 )

Question

31 g of ethylene glycol ( C 2 H 6 O 2) is dissolved in 600 g of water. The freezing point depression of the solution is (Kf. for water is 1.86 K kg mol -1 ) (A) 0.77 K (B) 1.55 K (C) 4.65 K (D) 3.10 K

Tardigrade Admin · Accepted Answer

∵ Δ Tf=Kf ⋅ (WB/MB) × (1000/WA) Given, WB (mass of ethylene glycol) =31 g WA (mass of water) =600 g Kf (for water) =1.86 K kg mol -1 and MB(. for .C 2 H 6 O 2)=62 ∴ Δ Tf=(1.86 × 31 × 1000/62 × 600) =1.55 K

Q. 31g of ethylene glycol (C2​H6​O2​) is dissolved in 600g of water. The freezing point depression of the solution is (Kf​ for water is 1.86Kkgmol−1 )

0.77 K

1.55 K

4.65 K

3.10 K

∵ΔTf​=Kf​⋅MB​WB​​×WA​1000​ Given, WB​ (mass of ethylene glycol) =31g WA​ (mass of water) =600g Kf​ (for water) =1.86Kkgmol−1 and MB​( for C2​H6​O2​)=62 ∴ΔTf​=62×6001.86×31×1000​ =1.55K

Q. $31 g$ of ethylene glycol $(C_{2} H_{6} O_{2})$ is dissolved in $600 g$ of water. The freezing point depression of the solution is $(K_{f}$ for water is $1.86 K k g m o l^{- 1}$ )