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Murrr4er [49]
2 years ago
7

the solubility in mol/dm3 of 20.2g of potassium trioxonitrate(V)dissolved in 100g of water at room temperature is​

Chemistry
1 answer:
enyata [817]2 years ago
6 0

Answer:

  • <u>2.00 mol/dm³</u>

Explanation:

Potassium trioxonitrate(V) is KNO₃.

<u>1. Find the molar mass of the solute</u>

The molar mass of KNO₃ is 39.098g/mol + 14.007g/mol + 3×15.999g/mol = 101.102g/mol.

<u>2. Convert the mass of solute, 20.02g, into number of moles</u>

  • number of moles = mass in grams / molar mass

  • number of moles = 20.2g / 101.102g/mol = 0.1998mol

<u>3. Assume that the volume of the solution is equal to the volume of water</u>

This is a rough approximation, but it is necessary since you do not have the density of the solution:

  • density = mass / volume
  • 1.00 g/cm³ = 100g / volume
  • volume = 100g × 1.00g/cm³ = 100cm³

Convert 100cm³ to dm³:

  • 100cm³ × 1dm³ / 1,000cm³ = 0.1 dm³

<u>4. Calculate the solubility is mol/dm³</u>

  • 0.1998 mol / 0.1dm³ = 1.998mol/dm³ ≈ 2.00mol/dm³

It is rounded to three significant digits to match the choices.

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<u>Answer:</u> The mass difference between the two is 7.38 grams.

<u>Explanation:</u>

To calculate the number of moles, we use the equation given by ideal gas follows:

PV=nRT

where,

P = pressure = 125 psi = 8.50 atm    (Conversion factor:  1 atm = 14.7 psi)

V = Volume = 855 mL = 0.855 L    (Conversion factor:  1 L = 1000 mL)

T = Temperature = 25^oC=[25+273]K=298K

R = Gas constant = 0.0821\text{ L. atm }mol^{-1}K^{-1}

n = number of moles = ?

Putting values in above equation, we get:

8.50atm\times 0.855L=n\times 0.0821\text{ L atm }mol^{-1}K^{-1}\times 298K\\\\n=\frac{8.50\times 0.855}{0.0821\times 298}=0.297mol

To calculate the number of moles, we use the equation:

\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}      .....(1)

  • <u>For air:</u>

Moles of air = 0.297 moles

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Putting values in equation 1, we get:

0.297mol=\frac{\text{Mass of air}}{28.8g/mol}\\\\\text{Mass of air}=(0.297mol\times 28.8g/mol)=8.56g

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Moles of helium = 0.297 moles

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Putting values in equation 1, we get:

0.297mol=\frac{\text{Mass of helium}}{4g/mol}\\\\\text{Mass of helium}=(0.297mol\times 4g/mol)=1.18g

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\Delta m=m_1-m_2

\Delta m=(8.56-1.18)g=7.38g

Hence, the mass difference between the two is 7.38 grams.

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