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Len [333]
3 years ago
8

Choose the aqueous solution below with the lowest freezing point. These are all solutions of nonvolatile solutes and you should

assume ideal van't Hoff factors where applicable. Choose the aqueous solution below with the lowest freezing point. These are all solutions of nonvolatile solutes and you should assume ideal van't Hoff factors where applicable. 0.075 m KNO2 0.075 m LiCN 0.075 m (NH4)3PO4 0.075 m NaI 0.075 m NaBrO4
Chemistry
2 answers:
iragen [17]3 years ago
8 0

<u>(NH₄)₃PO₄</u> has  the lowest freezing point.

<h3>Further explanation </h3>

Solution properties are the properties of a solution that don't depend on the type of solute but only on the concentration of the solute.

Solution properties of electrolyte solutions differ from non-electrolyte solutions because electrolyte solutions contain a greater number of particles because electrolytes break down into ions. So the Solution properties of electrolytes is greater than non-electrolytes.

The term is used in the Solution properties

  • 1. molal

that is, the number of moles of solute in 1 kg of solvent

\large {\boxed {\bold {m = mole. \frac {1000} {mass \: of \: solvent (in \: grams)}}}

  • 2. Boiling point and freezing point

Solutions from volatile substances have a higher boiling point and lower freezing points than the solvent

ΔTb = Tb solution - Tb solvent

ΔTb = boiling point elevation

\rm \Delta T_f=T_fsolvent-T_fsolution

\large {\boxed {\boxed {\bold {\Delta Tb \: = \: Kb.m}}}

\rm \Delta T_f=K_f\times m

Kb = molal boiling point increase

Kf = molal freezing point constant

m = molal solution

For electrolyte solutions there is a van't Hoff factor = i

i = 1 + (n-1) α

n = number of ions from the electrolyte

α = degree of ionization, strong electrolyte α = 1

so the freezing point formula becomes:

\rm \Delta T_f=K_f\times m\times i

All solutions in the problem have molal concentration (0.075 m) and the same solvent -> assuming water (The same \rm K_f) so that what affects the value of \rm \Delta T_fis the value of i

Assuming the degree of electrolyte ionization α= 1, the magnitude i is determined by the number of ions produced by the electrolyte (n)

KNO₂ ---> K⁺ + NO₂⁻ → 2 ions

LiCN ---> Li⁺+ CN⁻ → 2 ions

(NH₄)₃PO₄---> 3 NH₄ + + PO₄ ³⁻ → 4 ions

NaI ---> Na⁺ + I⁻ → 2 ions

NaBrO₄ ---> Na⁺ + BrO₄⁻ → 2 ions

(NH₄)₃PO₄ has the highest number of ions, so it has the highest \rm \Delta T_f and the lowest freezing point.

<h3>Learn more </h3>

colligative properties

brainly.com/question/8567736

Raoult's law

brainly.com/question/10165688

The vapor pressure of benzene

brainly.com/question/11102916

The freezing point of a solution

brainly.com/question/8564755

brainly.com/question/4593922

brainly.com/question/1196173

atroni [7]3 years ago
4 0

Answer:

(NH_4)_3PO_4 0.075 m solution has the lowest freezing point.

Explanation:

Depression in freezing point is given by:

\Delta T_f=T-T_f

\Delta T_f=K_f\times m

\Delta T_f=iK_f\times \frac{\text{Mass of solute}}{\text{Molar mass of solute}\times \text{Mass of solvent in Kg}}

where,

\Delta T_f =Depression in freezing point

K_f = Freezing point constant of solvent

1 - van't Hoff factor

m = molality

According question, molality of all the solutions are same and are in prepared with same solvent. So, values of molality and K_f will remain the same and will not effect the freezing point of the solution.

The lowering in freezing point will now depend upon van't Hoff factors of the solutions. Higher the value of van'Hoff factor more will be the lowering in freezing point of the solution.

The van't Hoff factor of KNO_2 solution = i_1=2

The van't Hoff factor of LiCN solution = i_2=2

The van't Hoff factor of (NH_4)_3PO_4 solution = i_3=4

The van't Hoff factor of NaI solution = i_4=2

The van't Hoff factor of NaBrO_3 solution = i_5=2

The solution of ammonium phosphate has the highest values of van't Hoff factor which will result in maximum lowering of the freezing point of the solution.

Hence,(NH_4)_3PO_4 0.075 m solution has the lowest freezing point.

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Answer:

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Explanation:

The formula for the calculation of moles is shown below:

moles = \frac{Mass\ taken}{Molar\ mass}

Given: For Li

Given mass = 2.50 g

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<u>Moles of Li  = 2.50 g / 6.94 g/mol = 0.3602 moles</u>

Given: For N_2

Given mass = 2.50 g

Molar mass of N_2 = 28.02 g/mol

<u>Moles of N_2 = 2.50 g / 28.02 g/mol = 0.08924 moles</u>

According to the given reaction:

6Li+N_2\rightarrow 2Li_3N

6 moles of Li react with 1 mole of N_2

1 mole of Li react with 1/6 mole of N_2

0.3602 mole of Li react with \frac {1}{6}\times 0.3602 mole of N_2

Moles of N_2 that will react = 0.06 moles

Available moles of N_2 = 0.08924 moles

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Li is limiting reagent.

The formation of the product is governed by the limiting reagent. So,

6 moles of Li gives 2 mole of Li_3N

1 mole of Li gives 2/6 mole of Li_3N

0.3602 mole of Li react with \frac {2}{6}\times 0.3602 mole of Li_3N

Moles of Li_3N = 0.12

Molar mass of Li_3N = 34.83 g/mol

Mass of Li_3N = Moles × Molar mass = 0.12 × 34.83 g = 4.18 g

<u>Theoretical yield = 4.18 g</u>

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