Q.

Calculate the mass of ascorbic acid (Molar mass = 176 g mol–1) to be dissolved in 75 g of acetic acid, to lower its freezing point by 1·5oC.
(Kf = 3·9 K kg mol–1)

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Detailed Solution

Mass of ascorbic acid ( W A ) = 75 g = 0.075 kg (WA)=75 g=0.075 kg
Depression in melting point ( Δ Tf ) = 1.5C = 1.5 K
ΔTf)=1.5C=1.5 K Molar mass of ascorbic acid ( MB ) = ( 12 × 6 ) + ( 8 × 1 ) + ( 16 × 6 ) = 176 g mol − 1 (MB)=(12×6)+(8×1)+(16×6)=176 g mol-1
Molal depression constant ( K f ) = 3.9 K kg mol – 1
(Kf) = 3.9 K kg mol-1
W B = (176 g mol −1) × ( 1.5 K ) × ( 0.075 kg ) ( 3.9 K kg mol−1 ) = 5.08g

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Calculate the mass of ascorbic acid (Molar mass = 176 g mol–1) to be dissolved in 75 g of acetic acid, to lower its freezing point by 1·5oC.(Kf = 3·9 K kg mol–1)