Mole Calculation Problems

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Questions and Answers

You have a solution of NaOH with a concentration of 2 M. If you have 50 mL of this solution, how many moles of NaOH are present?

0.1 moles

You have 250 grams of lead(II) nitrate, $Pb(NO_3)_2$. Calculate how many moles of lead(II) nitrate you have.

0.75 moles

If you have 60 grams of nitrogen gas ($N_2$), how many moles do you have?

2.14 moles

If you have 10 moles of $H_2$, how many grams do you have?

<p>20 grams</p> Signup and view all the answers

You have 10 liters of a solution with a concentration of 0.5 M. How many moles of solute are present in this solution?

<p>5 moles</p> Signup and view all the answers

How many molecules are in 3 moles of ethanol ($C_2H_5OH$)? Give your answer in scientific notation.

<p>$1.81 \times 10^{24}$ molecules</p> Signup and view all the answers

You have 150 grams of potassium (K). How many moles do you have?

<p>3.84 moles</p> Signup and view all the answers

You have 50 mL of a solution of hydrochloric acid (HCl) with a concentration that is 4 M. How many moles of HCl are present in this solution?

<p>0.2 moles</p> Signup and view all the answers

Flashcards

Molar Mass

The mass of one mole of a substance, expressed in grams/mole (g/mol).

Avogadro's Number

6.022 x 10²³ entities (atoms, molecules, ions) in one mole of a substance.

Calculate Moles from Mass

Moles = Given Mass / Molar Mass

Calculate Mass from Moles

Mass = Moles x Molar Mass

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Molecules from Moles

Number of Molecules = Moles x Avogadro's Number

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Molarity

Molarity (M) = Moles of solute / Liters of solution

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Moles from Molarity & Volume

Moles = Molarity x Volume (in Liters)

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Molarity Formula

M = n/V where M is molarity, n is number of moles, and V is volume in liters.

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Study Notes

  • These questions cover mole calculations, molar mass determination, and conversions between mass, moles, molecules, and solution concentrations.

Moles from Mass

  • To find the number of moles in 75 grams of sodium (Na), use the molar mass of Na (approximately 23 g/mol)
  • To find the number of moles in 200 grams of glucose (C₆H₁₂O₆), use the molar mass of glucose (approximately 180 g/mol)
  • To find the number of moles in 150 grams of potassium (K), use the molar mass of K (approximately 39.1 g/mol)
  • To find the number of moles in 90 grams of iron (Fe), use the molar mass of Fe (approximately 55.8 g/mol)
  • To find the number of moles in 250 grams of lead(II) nitrate (Pb(NO₃)₂), use the molar mass of Pb(NO₃)₂ (approximately 331.2 g/mol)
  • To find the number of moles in 60 grams of nitrogen gas (N₂), use the molar mass of N₂ (approximately 28 g/mol)
  • To find the number of moles in 80 grams of sulfur (S), use the molar mass of S (approximately 32.1 g/mol)
  • To find the number of moles in 100 grams of calcium (Ca), use the molar mass of Ca (approximately 40.1 g/mol)
  • To find the number of moles in 150 grams of silver (Ag), use the molar mass of Ag (approximately 107.9 g/mol)
  • To find the number of moles in 120 grams of magnesium (Mg), use the molar mass of Mg (approximately 24.3 g/mol)

Molecules from Moles

  • To find the number of molecules in 0.5 moles of CO₂, multiply by Avogadro's number (6.022 x 10²³)
  • To find the number of molecules in 4 moles of NH₃, multiply by Avogadro's number (6.022 x 10²³)
  • To find the number of molecules in 0.35 moles of CH₄, multiply by Avogadro's number (6.022 x 10²³)
  • To find the number of molecules in 2.5 moles of Na₂SO₄, multiply by Avogadro's number (6.022 x 10²³)
  • To find the number of molecules in 3 moles of ethanol (C₂H₅OH), multiply by Avogadro's number (6.022 x 10²³)

Molar Mass Calculation

  • To find the molar mass of calcium carbonate (CaCO₃), sum the atomic masses of Ca, C, and 3 O
  • Molar mass of CaCO₃ = 40.1 + 12.0 + (3 x 16.0) = 100.1 g/mol

Mass from Moles

  • To find the number of grams in 1.5 moles of NaCl, use the molar mass of NaCl (approximately 58.5 g/mol)
  • To find the number of grams in 10 moles of H₂, use the molar mass of H₂ (approximately 2 g/mol)
  • To find the number of grams in 0.25 moles of sulfuric acid (H₂SO₄), use the molar mass of H₂SO₄ (approximately 98.1 g/mol)
  • To find the number of grams in 0.8 moles of ethyl alcohol (C₂H₅OH), use the molar mass of C₂H₅OH (approximately 46.1 g/mol)
  • To find the number of grams in 3 moles of potassium chloride (KCl), use the molar mass of KCl (approximately 74.6 g/mol)
  • To find the number of grams in 0.2 moles of sodium bicarbonate (NaHCO₃), use the molar mass of NaHCO₃ (approximately 84.0 g/mol)
  • To find the number of grams in 5 moles of aluminum (Al), use the molar mass of Al (approximately 27 g/mol)
  • To find the number of grams in 0.3 moles of potassium sulfate (K₂SO₄), use the molar mass of K₂SO₄ (approximately 174.3 g/mol)
  • To find the number of grams in 1.2 moles of acetic acid (CH₃COOH), use the molar mass of CH₃COOH (approximately 60.1 g/mol)
  • To find the number of grams in 0.4 moles of hydrochloric acid (HCl), use the molar mass of HCl (approximately 36.5 g/mol)
  • To find the number of grams in 1.8 moles of ammonium sulfate ((NH₄)₂SO₄), use the molar mass of (NH₄)₂SO₄ (approximately 132.1 g/mol)
  • To find the number of grams in 0.5 moles of copper sulfate (CuSO₄), use the molar mass of CuSO₄ (approximately 159.6 g/mol)

Moles from Volume and Molarity

  • To find the number of moles in 50 mL of a 2 M NaOH solution, convert mL to liters (0.050 L) and multiply by the molarity
  • To find the number of moles in 10 liters of a 0.5 M solution, multiply the volume by the molarity
  • To find the number of moles in 1 liter of a 0.5 M HCl solution, multiply the volume by the molarity
  • To find the number of moles in 200 mL of a 0.25 M solution, convert mL to liters (0.200 L) and multiply by the molarity
  • To find the number of moles in 400 mL of a 1.5 M solution, convert mL to liters (0.400 L) and multiply by the molarity
  • To find the number of moles in 50 mL of a 4 M solution, convert mL to liters (0.050 L) and multiply by the molarity

Moles from Mass

  • To find the number of moles in 32 grams of oxygen (O₂), use the molar mass of O₂ (approximately 32 g/mol)

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