Ch.13 - Solutions

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Tro 4th Edition

Ch.13 - Solutions

Problem 94

Chapter 13, Problem 94

A 0.95 m aqueous solution of an ionic compound with the formula MX has a freezing point of -3.0 °C. Calculate the van’t Hoff factor (i) for MX at this concentration.

Verified step by step guidance

insert step 1> Determine the freezing point depression (

Δ T_{f}

) using the formula

Δ T_{f} = T_{f}^{0} - T_{f}

, where

T_{f}^{0}

is the freezing point of pure water (0 °C) and

T_{f}

is the freezing point of the solution (-3.0 °C).

insert step 2> Use the formula for freezing point depression:

Δ T_{f} = i \cdot K_{f} \cdot m

, where

K_{f}

is the cryoscopic constant for water (1.86 °C/m) and

m

is the molality of the solution (0.95 m).

insert step 3> Rearrange the formula to solve for the van’t Hoff factor

i

i = \frac{Δ T_{f}}{K_{f} \cdot m}

insert step 4> Substitute the known values into the equation:

i = \frac{3.0}{1.86 \times 0.95}

insert step 5> Calculate the value of

i

to determine the van’t Hoff factor for the ionic compound MX.

Related Practice

Textbook Question

Use the van't Hoff factors in Table 13.9 to calculate each colligative property: a. the melting point of a 0.100 m iron(III) chloride solution

Using the van’t Hoff factors in Table 13.9, calculate the mass of solute required to make each aqueous solution: a. a sodium chloride solution containing 1.50 * 10^2 g of water that has a melting point of -1.0 °C; b. 2.50 * 10^2 mL of a magnesium sulfate solution that has an osmotic pressure of 3.82 atm at 298 K; c. an iron(III) chloride solution containing 2.50 * 10^2 g of water that has a boiling point of 102 °C.

Textbook Question

A 1.2 m aqueous solution of an ionic compound with the formula MX₂ has a boiling point of 101.4 °C. Calculate the van't Hoff factor (i) for MX₂ at this concentration.

1528

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Textbook Question

A 0.100 M ionic solution has an osmotic pressure of 8.3 atm at 25 °C. Calculate the van't Hoff factor (i) for this solution.

1871

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Open Question

Is the question asking for the calculation of the van’t Hoff factor (i) for KBr at a given concentration, based on the provided osmotic pressure, correct?

Textbook Question

Calculate the vapor pressure at 25 °C of an aqueous solution that is 5.50% NaCl by mass. (Assume complete dissociation of the solute.)

2287

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