40 g of glucose (Molar mass =180 ) is mixed with 200 mL of water. The freezing point of solution is K. (Nearest integer) [. Given: K f =1.86 K kg mol -1 ; Density of water = 1.00 g cm -3 ; Freezing point of water =273.15 K ]

Question

40 g of glucose (Molar mass =180 ) is mixed with 200 mL of water. The freezing point of solution is K. (Nearest integer) [. Given: K f =1.86 K kg mol -1 ; Density of water = 1.00 g cm -3 ; Freezing point of water =273.15 K ] (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

molality =(((40/180)) mol /0.2 Kg )=((10/9)) molal ⇒ Δ T f = T f - T f prime=1.86 × (10/9) ⇒ T f prime=273.15-1.86 × (10/9) =271.08 K ≃ 271 K (nearest-integer)

Q. $40 g$ of glucose (Molar mass $= 180$ ) is mixed with $200 m L$ of water. The freezing point of solution is _______ $K$ . (Nearest integer)
$[$ Given : $K_{f} = 1.86 K k g m o l^{- 1};$ Density of water $=$ $1.00 g c m^{- 3};$ Freezing point of water $= 273.15 K$ ]

molality $= \frac{( \frac{40}{180} ) m o l}{0.2 K g} = (\frac{10}{9}) m o l a l$
$\Rightarrow Δ T_{f} = T_{f} - T_{f}^{'} = 1.86 \times \frac{10}{9}$
$\Rightarrow T_{f}^{'} = 273.15 - 1.86 \times \frac{10}{9}$
$= 271.08 K$
$≃ 271 K$ (nearest-integer)

Q. 40g of glucose (Molar mass =180 ) is mixed with 200mL of water. The freezing point of solution is _______K. (Nearest integer) [ Given : Kf​=1.86Kkgmol−1; Density of water = 1.00gcm−3; Freezing point of water =273.15K ]

molality =0.2Kg(18040​)mol​=(910​)molal ⇒ΔTf​=Tf​−Tf′​=1.86×910​ ⇒Tf′​=273.15−1.86×910​ =271.08K ≃271K (nearest-integer)

Q. $40 g$ of glucose (Molar mass $= 180$ ) is mixed with $200 m L$ of water. The freezing point of solution is _______ $K$ . (Nearest integer)
$[$ Given : $K_{f} = 1.86 K k g m o l^{- 1};$ Density of water $=$ $1.00 g c m^{- 3};$ Freezing point of water $= 273.15 K$ ]

molality $= \frac{( \frac{40}{180} ) m o l}{0.2 K g} = (\frac{10}{9}) m o l a l$
$\Rightarrow Δ T_{f} = T_{f} - T_{f}^{'} = 1.86 \times \frac{10}{9}$
$\Rightarrow T_{f}^{'} = 273.15 - 1.86 \times \frac{10}{9}$
$= 271.08 K$
$≃ 271 K$ (nearest-integer)