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कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान 2nd PUC Class 12

Calculate the mass of ascorbic acid (Vitamin C, C6H8O6) to be dissolved in 75 g of acetic acid to lower its melting point by 1.5°C. Kf = 3.9 K kg mol−1.

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प्रश्न

Calculate the mass of ascorbic acid (Vitamin C, C6H8O6) to be dissolved in 75 g of acetic acid to lower its melting point by 1.5°C. Kf = 3.9 K kg mol−1.

संख्यात्मक
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उत्तर

Given: Lowering in melting point (ΔTf) = 1.5°C

Mass of solvent (CH3COOH), w1 = 75 g

Mass of solute, w2 = ?

Molar mass of solvent (CH3COOH), M1 = 60 g mol−1

Molar mass of solute (C6H8O6), M2 = 6 × 12 + 8 × 1 + 6 × 16

= 72 + 8 + 96

= 176 g mol−1

 Kf = 3.9 K kg mol−1

Applying the formula,

ΔTf = `(K_f xx w_2 xx 1000)/(M_2 xx w_1)`

⇒ w2 = `(Delta T_f xx M_2 xx w_1)/(K_f xx 1000)`

= `(1.5 xx 176 xx 75)/(3.9 xx 1000)`

= 5.08 g (approx)

Hence, 5.08 g of ascorbic acid needs to be dissolved.

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अध्याय 1: Solutions - Intext Questions [पृष्ठ २३]

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एनसीईआरटी Chemistry Part 1 and 2 [English] Class 12
अध्याय 1 Solutions
Intext Questions | Q 1.11 | पृष्ठ २३

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