William W. answered 08/28/19
Math and science made easy - learn from a retired engineer
Step 1 - Write a balanced chemical reaction equation
Since oxygen gas appears naturally as O2, start with that. O2 + S → SO3. To balance this, since there is and odd number of oxygen atoms on the right side, add a 2 prefix in front of the SO3 resulting in: O2 + S → 2SO3. Now, add prefixes to the left side of the equation to balance it resulting in:
3O2 + 2S → 2SO3
Step 2 - Convert the 7g of sulfur into moles
We do this because we are going to use the chemical reaction equation to tell us how much oxygen is required but the chemical reaction equation is in units of moles not grams.
To convert to moles, we use the molar mass. The molar mass of sulfur is 32.066 g/mol. To convert, we divide 7g by 32.066 g/mol to get 0.2183 moles of S
Step 3 - Use the molar ratios to calculate moles of oxygen
The chemical reaction equation tells us it takes 3 moles of O2 for every 2 moles of S so we must multiply the 0.2183 moles of S by 3/2 (moles O2/moles S) so that results in 0.32745 moles O2
Step 4 - Convert moles of O2 to grams of O2
To convert to grams, we use the molar mass. The molar mass of O2 is 2x15.999 or 31.998 g/mol. To convert, we multiply 0.32745 moles O2 by 31.998 g/mol to get 10.478 grams of O2. There are 3 significant figures in the original given information so we round the answer to 3 sig figs or 10.5 g O2