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Mole

Reference data and engineering information about mole for chemistry applications.

mole

Overview

Engineering reference data for Mole in chemistry.

Key Formulas

Ideal Gas Law

PV=nRTPV = nRT

Pressure × Volume = moles × gas constant × temperature.

Molarity

M=nVM = \frac{n}{V}

Moles of solute per liter of solution.

pH

pH=log10[H+]pH = -\log_{10}[H^+]

Measure of acidity.

Variables

Symbol Description Unit
PP Pressure Pa
VV Volume
nn Moles mol
RR Gas constant 8.314 J/(mol·K)

Examples

Molecules in Hydrogen Gas

1 mole of hydrogen gas (H₂) contains Avogadro's number of molecules:

Number of molecules=NA=6.022141×1023 molecules\text{Number of molecules} = N_A = 6.022141 \times 10^{23} \text{ molecules}

Thus, for 1 mol of H₂, there are 6.022141×10236.022141 \times 10^{23} molecules.

Molecules in Ethyl Alcohol

The number of molecules in 1 kg of ethyl alcohol (molecular weight M=46.07 kg/kmolM = 46.07 \text{ kg/kmol}) is calculated as:

n=mM×NA×1000n = \frac{m}{M} \times N_A \times 1000

where m=1 kgm = 1 \text{ kg}, and the factor 1000 converts kmol to mol. Substituting the values:

n=(146.07)×6.022×1023×1000=1.31×1025 moleculesn = \left( \frac{1}{46.07} \right) \times 6.022 \times 10^{23} \times 1000 = 1.31 \times 10^{25} \text{ molecules}

Standard Molar Volume

At standard temperature and pressure (STP: 0°C and 1 atm), the molar volume of an ideal gas is:

Vm=22.414 L/molV_m = 22.414 \text{ L/mol}

This property is useful for converting between moles and volume for gases under these conditions.

References