The mole
Chemical amounts are measured in moles , symbol mol
The mass of one mole of a substance in grams is numerically equal
to its relative formula mass : one mole of water, M r = 18 M_r = 18 M r = 18 , has a
mass of 18 g
One mole of any substance contains the same number of particles as one mole
of any other: the Avogadro constant , 6.02 × 10 23 6.02 \times 10^{23} 6.02 × 1 0 23
per mole
Moles can count anything: atoms, molecules, ions, electrons, or the
formula units in an equation. One mole of carbon has the same number of
atoms as one mole of carbon dioxide has molecules
moles = mass (g) M r mass = moles × M r \text{moles} = \frac{\text{mass (g)}}{M_r} \qquad \text{mass} = \text{moles} \times M_r moles = M r mass (g) mass = moles × M r
Worked example: moles in 11 g of carbon dioxide (M r = 44 M_r = 44 M r = 44 ):
11 44 = 0.25 \frac{11}{44} = 0.25 44 11 = 0.25 mol
Worked example: mass of 0.5 mol of sodium hydroxide (M r = 40 M_r = 40 M r = 40 ):
0.5 × 40 = 20 0.5 \times 40 = 20 0.5 × 40 = 20 g
Number of particles = = = moles × 6.02 × 10 23 \times \, 6.02 \times 10^{23} × 6.02 × 1 0 23 . In 0.25 mol
of CO 2 \text{CO}_2 CO 2 there are 1.5 × 10 23 1.5 \times 10^{23} 1.5 × 1 0 23 molecules, and three times
that many atoms
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The moles triangle mass in grams moles Mr or Ar mass = moles × Mr moles = mass ÷ Mr Mr = mass ÷ moles Cover the quantity you want and the triangle shows what to do with the other two. Mr is the relative formula mass — add up the relative atomic masses of every atom. A triangle showing mass at the top, moles and Mr at the bottom, with the three rearrangements written beside it
The mass in this equation is always in grams . A question in
kilograms or tonnes must be converted first: × 1000 \times 1000 × 1000 for kg to g
Keep the unrounded moles on your calculator and only round the final answer.
Then give it to the same number of significant figures as the data
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