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A 0.1 m solution of K2SO4 in water has a freezing point of –4.3°C. What is the value of van’t Hoff factor if Kf for water is 1.86 K kg mol–1? - Chemistry

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प्रश्न

A 0.1 m solution of K2SO4 in water has a freezing point of –4.3°C. What is the value of van’t Hoff factor if Kf for water is 1.86 K kg mol–1?

योग
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उत्तर

Given: Molality of K2SO4 solution = m = 0.1 m

Freezing point of solution = Tf = – 4.3 °C

Kf of water = 1.86 K kg mol–1

To find: van’t Hoff factor

Formula: ΔTf = i Kfm

Calculation:

ΔTf = `"T"_"f"^0` – Tf

= 0 °C – (–4.3 °C) = 4.3 °C = 4.3 K

Now, using the formula,

ΔTf = i Kf.m

∴ i = `(Δ"T"_"f")/("K"_"f"."m")`

`= (4.3 "K")/(1.86 "k kg mol"^-1 xx 0.1 "mol kg"^-1)`

= 23.11

The value of van’t Hoff factor is 23.11.

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अध्याय 2: Solutions - Exercises [पृष्ठ ४५]

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बालभारती Chemistry [English] Standard 12 Maharashtra State Board
अध्याय 2 Solutions
Exercises | Q 2.04 | पृष्ठ ४५

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