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Atom economy, percentage yield and gas calculations - AQAAvogadro's law - Higher

Percentage yield and atom economy show how much desired product is obtained compared to amounts of starting materials. Gas calculations show volumes of gas used and obtained in chemical reactions.

Part of Chemistry (Single Science)Quantitative chemistry

Avogadro's law - Higher

states that when the temperature and stay the same:

  • equal of different gases contain an equal number of

This means that equal amounts in moles of gases occupy the same volume under the same conditions of temperature and pressure. For example:

  • 1 mol of hydrogen gas occupies the same volume as 1 mol of methane gas
  • 10 mol of nitrogen monoxide gas occupy the same volume as 10 mol of argon gas

Avogadro's law can be used to calculate the volumes of gases involved in reactions.

Using Avogadro's law

Hydrogen reacts with chlorine to form hydrogen chloride:

H2(g) + Cl2(g) 鈫 2HCl(g)

The of hydrogen to chlorine is 1:1. This means, for example, that in terms of volume:

  • 1 cm3 of hydrogen reacts exactly with 1 cm3 of chlorine
  • 250 cm3 of hydrogen reacts exactly with 250 cm3 of chlorine

The mole ratio of hydrogen to hydrogen chloride is 1:2. This means, for example:

  • 1 cm3 of hydrogen produces 2 cm3 of hydrogen chloride
  • 250 cm3 of hydrogen produces 500 cm3 of hydrogen chloride

Question

Nitrogen reacts with hydrogen to produce ammonia:

N2(g) + 3H2(g) 鈫 2NH3(g)

Calculate the volume of ammonia that can be produced from 150 cm3 of hydrogen and an of nitrogen.

Question

Hydrogen reacts with oxygen to produce steam:

2H2(g) + O2(g) 鈫 2H2O(g)

Calculate the volume of steam that can be produced from 50 cm3 of oxygen and an excess of hydrogen.