Hi Guys,
Need help with this question. I don't understand why you have to double the volume. Could someone please explain me why. The question is in the attachment of this post.
Also, could someone please explain to me what molar volume is. I don't understand by what they say in the book that it is 'the amount of space, or volume, occupied by 1 mole of any gas at a particular pressure and temperature'.
All help will be much appreciated. Thanks.
Avogadro's Law (not Avogadro's number) states that "equal volumes of all gases, at the same temperature and pressure, have the same number of molecules." What this means is that if you have 50 mL of hydrogen at standard conditions, it will have the same number of molecules as 50 mL of nitrogen under the same conditions. What this allows us to do, is rather than having to work with moles, we can simply do stoichiometry using volumes.
In the case of your question, the ratio between oxygen to methane is 2:1. This means that for every mole of methane you want to fully combust, you need 2 moles of oxygen. Using Avogadro's law, 100 mL of oxygen has twice the number of molecules as 50 mL of methane.
Molar volume is based upon this principle. The volume occupied by a gas does not depend on the nature of the gas. Under standard conditions (273 K, 1 atm), the molar volume of a gas is 22.4 L. What this means is that any gas you have 1 mole of, under these standard conditions, will occupy a volume of 22.4 L.
*The assumption made here is that the gases being looked at are 'ideal'.