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Moles, mass and number of particles: Class 9 practice

One mole contains 6.022 × 10²³ particles and has a mass equal to the molar mass in grams. Read the method, follow the three worked examples, then try the six questions.

What you should know first

  • Molecular mass
  • Scientific notation

The idea behind moles, mass and number of particles

One mole contains 6.022 × 10²³ particles and has a mass equal to the molar mass in grams. n = mass ÷ molar mass = particles ÷ 6.022 × 10²³.

Step-by-step method

  1. Find the molar mass.
  2. n = m/M.
  3. Particles = n × 6.022 × 10²³ (atoms = molecules × atoms per molecule).

Worked example 1 (Basic)

How many moles are in 180 g of C₆H₁₂O₆?

  1. M = 180 g/mol
  2. n = 180/180 = 1 mol
  3. Answer: 1 mol

Worked example 2 (Standard)

How many molecules are in 146.25 g of NaCl?

  1. n = 2.5 mol
  2. N = 2.5 × 6.022 × 10²³ = 1.506e+24
  3. Answer: 1.506e+24

Worked example 3 (Challenge)

How many atoms in total are in 58.5 g of NaCl?

  1. n = 1 mol of molecules
  2. Each molecule has 2 atoms
  3. Atoms = 1 × 2 × 6.022 × 10²³ = 1.204e+24
  4. Answer: 1.204e+24

Common mistakes and misconceptions

  • Confusing molecules and atoms
  • Dividing the wrong way

Practice questions

  1. (Basic) How many moles are in 117 g of NaCl?
  2. (Basic) How many moles are in 400 g of CaCO₃?
  3. (Standard) How many molecules are in 16 g of CH₄?
  4. (Standard) How many molecules are in 408 g of Al₂O₃?
  5. (Challenge) How many atoms in total are in 40 g of MgO?
  6. (Challenge) How many atoms in total are in 160 g of NaOH?

Answer key with full working

  • Q1: M = 58.5 g/mol → n = 117/58.5 = 2 mol → Answer: 2 mol
  • Q2: M = 100 g/mol → n = 400/100 = 4 mol → Answer: 4 mol
  • Q3: n = 1 mol → N = 1 × 6.022 × 10²³ = 6.022e+23 → Answer: 6.022e+23
  • Q4: n = 4 mol → N = 4 × 6.022 × 10²³ = 2.409e+24 → Answer: 2.409e+24
  • Q5: n = 1 mol of molecules → Each molecule has 2 atoms → Atoms = 1 × 2 × 6.022 × 10²³ = 1.204e+24 → Answer: 1.204e+24
  • Q6: n = 4 mol of molecules → Each molecule has 3 atoms → Atoms = 4 × 3 × 6.022 × 10²³ = 7.226e+24 → Answer: 7.226e+24

Syllabus note

This skill is listed under "Atoms and Molecules" for Class 9 in the NCERT/CBSE books. ICSE, IGCSE, IB and state boards may teach it in a different chapter or year.

Answers on this page are generated and automatically re-checked by a second, independent calculation. They have not been reviewed by a teacher — if you spot a problem, tell us on WhatsApp.

Related practice and notes

Frequently asked questions

Which chapter is moles, mass and number of particles in?

"Atoms and Molecules", Class 9 Chemistry (NCERT/CBSE). Other boards may place it differently.

How were the answers checked?

Answers on this page are generated and automatically re-checked by a second, independent calculation. They have not been reviewed by a teacher — if you spot a problem, tell us on WhatsApp.

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