To convert between grams per liter (g/L) and moles per liter (mol/L), follow these steps:
1. Understand the Units:
2. Use Molar Mass:
3. Conversion Formulas:
[
ext{Molarity (mol/L)} = frac{
ext{Concentration (g/L)}}{
ext{Molar Mass (g/mol)}}
]
[
ext{Concentration (g/L)} =
ext{Molarity (mol/L)}
imes
ext{Molar Mass (g/mol)}
]
4. Example Calculations:
Molar mass of NaCl = 58.44 g/mol.
[
ext{Molarity} = frac{58.44,
ext{g/L}}{58.44,
ext{g/mol}} = 1,
ext{mol/L (1 M)}
]
Molar mass of glucose = 180.16 g/mol.
[
ext{Concentration} = 0.5,
ext{mol/L}
imes 180.16,
ext{g/mol} = 90.08,
ext{g/L}
]
5. Key Considerations:
Summary:
[
boxed{
begin{aligned}
ext{mol/L} &= frac{
ext{g/L}}{
ext{g/mol}}
ext{g/L} &=
ext{mol/L}
imes
ext{g/mol}
end{aligned}
]
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