Mole Calculator
Convert between mass, moles, and particles using Avogadro's number. Essential tool for stoichiometry and chemical calculations
Calculate Moles
Formula: H₂O
Molar Mass: 18.015 g/mol
Weight of your sample
Calculation Results
Calculation Details
Given: Mass = 0.000 g, Molar Mass = 18.015 g/mol
Formula: moles = mass ÷ molar mass
Calculation: 0.0000 mol = 0.000 g ÷ 18.015 g/mol
Total particles: 0.000e+0 molecules
Amount Analysis
Example Calculation
HCl Neutralization Example
Problem: How many moles are in 10 g of HCl?
Given: Mass = 10 g, HCl molar mass = 36.458 g/mol
Goal: Find moles to neutralize with NaOH
Step-by-Step Solution
Step 1: Apply formula: moles = mass ÷ molar mass
Step 2: Calculate: moles = 10 g ÷ 36.458 g/mol = 0.274 mol
Step 3: Find particles: 0.274 mol × 6.022 × 10²³ = 1.65 × 10²³ molecules
Answer: 10 g HCl = 0.274 moles = 1.65 × 10²³ molecules
For neutralization: Need 0.274 mol NaOH (10.97 g)
Quantity Ranges
Trace
< 0.001 mol
Analytical chemistry
Small
0.001 - 0.1 mol
Lab experiments
Moderate
0.1 - 1.0 mol
Standard reactions
Large
1.0 - 10 mol
Large scale prep
Very Large
> 10 mol
Industrial scale
Key Concepts
Mole
6.022 × 10²³
Avogadro's number of particles
Mass to Moles
n = m / M
moles = mass ÷ molar mass
Particles to Moles
n = N / Nₐ
moles = particles ÷ Avogadro's
Moles to Mass
m = n × M
mass = moles × molar mass
Understanding the Mole
What is a Mole?
A mole is the SI unit for measuring the amount of a substance. One mole contains exactly 6.02214076 × 10²³ elementary entities (atoms, molecules, ions, or electrons). This number is known as Avogadro's constant.
Why Use Moles?
- •Connects atomic scale to laboratory scale
- •Essential for stoichiometric calculations
- •Relates mass to number of particles
- •Standard unit for chemical amounts
Key Relationships
Mole-Mass Relationship
1 mole = molar mass in grams
From periodic table atomic masses
Mole-Particle Relationship
1 mole = 6.022 × 10²³ particles
Avogadro's constant
Practical Scale
Bridge between atoms and grams
Makes chemistry calculations possible