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Chemistry · Ch 1 — Some Basic Concepts of Chemistry

Moles and gases

1.9

Moles and gases

Since many chemical substances exist as gases, it is often much more practical to find how many moles of a gas are present by measuring its VOLUME rather than by weighing out its mass. Building on Avogadro's law, chemists have established that one mole of ANY gas — regardless of which gas it is — occupies a fixed volume of 22.4 dm3 at standard temperature (0°C) and pressure (1 atm), a condition abbreviated STP; this fixed volume of 22.4 dm3 at STP is called the molar volume of a gas. Using this, the number of moles of a gas sample can be found directly as: number of moles (n) = volume of the gas at STP divided by the molar volume of a gas (22.4 dm3 mol-1); and once the number of moles is known, the number of molecules follows immediately as number of moles multiplied by Avogadro's constant (6.022 x 10^23 molecules mol-1). It is worth noting that IUPAC has, more recently, revised the standard pressure used to define STP from 1 atmosphere to 1 bar; under these new …

Misc Problem 1.7Worked Example: moles and molecules of ammonia gas at STP

Worked out. Problem: calculate the number of moles and molecules of ammonia (NH3) gas present in a volume of 67.2 dm3 of it measured at STP. Solution (own words): using the molar-volume relationship, number of moles = volume of the gas at STP divided by the molar volume of a gas = 67.2 dm3 / 22.4 dm3 mol-1 = 3.0 mol. Number of molecules = number of moles multiplied by Avogadro's constant = 3.0 mol x 6.022 x 10^23 molecules mol-1 = 18.066 x 10^23 molecules. This example shows the STP-volume shortcut in action — no mass or molar-mass calculation was needed anywhere, on …