Chemistry, 20.02.2020 03:38 anabelleacunamu

The concentration of commercially available concentrated nitric acid is 70.0 percent by mass, or 15.9 M. Calculate the density and molality of the solution.\

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Answer from: 2Dgames

The density of the solution has been 1.43 g/ml. The molality of the solution has been 37.03 m.

Density can be defined as the mass of the solution per unit of volume. The density can be calculated as:

$D=\rm\dfrac{m}{v}$

Where, D has been the density.

The molecular weight of nitric acid has been, $mwt=63.013\;\rm g/mol$

The mass of nitric acid has been, $m=70\;g$

The molarity of the solution has been given as, $M=15.9\;\rm mol/L$

The volume of the solution can be given as:

$\rm V=Molarity\;\times\;\dfrac{molecular\;mass}{mass}\\V=15.9\;\times\;\dfrac{70}{63.013} \;L\\V=0.070\;L$

Substituting the values for density,

$D=\dfrac{100}{70}\;\rm {g/ml}\\D= 1.43\;\rm g/ml$

The density of the solution has been 1.43 g/ml.

The molality of the solution has been given by :

$m=\dfrac{M}{m_S}$

Where, moles of the solute has been given as, $M=\rm 1.11\;mol$

The mass of the solvent has been given as, $m_s=0.030\;\rm kg$

Substituting the values for calculating molality, m:

$m=\rm \dfrac{1.11\;mol}{0.030\;kg} \\\textit m = 37.03\;m$

The molality of the solution has been 37.03 m.

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Answer from: ConnorRecck3140

Density of solution = 1.43 g/mL

Molality → mol/kg = 37 m

Explanation:

The solute is HNO₃

Molar mass → 63 g/mol

70 % by mass → 70 g of solute / 100 g of solution

We convert the mass of HNO₃ to moles → 70 g / 63 g/mol = 1.11 moles

So let's apply molarity to find out the volume of our moles.

Molarity (M) = mol/L → mol / M = L → 1.11 mol / 15.9 M = 0.070 L

This is the volume for solution. We can convert it from L to mL

0.070 L . 1000 mL / 1L = 70 mL

As the mass of solution = 100 g → Density = Mass/Volume

100g / 70 mL = 1.43 g/mL

Molality → mol of solute / kg of solvent

Solution mass = 100 g → Mass of solute + Mass of solvent

Mass of solvent = 30 g

We convert the mass of solvent from g to kg → 30 g . 1kg / 1000 g = 0.030 kg

Molality (mol/kg) → 1.11 mol / 0.030 kg = 37 m

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The concentration of commercially available concentrated nitric acid is 70.0 percent by mass, or 15....

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