# Find the volume of the carbon dioxide product

Below you can see the chemical reaction I'm working with:

$$\ce{CH_3CH_2OH(l) + 3O_2(g) -> 2CO_2 (g) + 3H_2O(g)}$$

I've got so far:

How can I calculate the volume of the product of carbon dioxide gas (the pressure is 1 bar, and the temperature is 20 deg Celsius).

1. You need to determine the limiting reactant. Use the equation and the number of moles of $$\ce{CH_3CH_2OH}$$ and $$\ce{O_2}$$.

In the reaction, you need 1 mol of $$\ce{CH_3CH_2OH}$$ and 3 mol of $$\ce{O_2}$$ to get 2 mol of $$\ce{CO_2}$$. If you have less than 1 mol of $$\ce{CH_3CH_2OH}$$ but 3 mol of $$\ce{O_2}$$, you cannot get 2 mol of $$\ce{CO_2}$$. In such a case, $$\ce{CH_3CH_2OH}$$ is the limiting reactant. The amount of $$\ce{CO_2}$$ will thus be lower than 2 mol.

2. Using the number of moles of the limiting reactant, you should be able to calculate the number of moles of $$\ce{CO_2}$$ produced. Use proportions!

3. The last step will involve using the ideal gas equation, by assuming that $$\ce{CO_2}$$ behaves like an ideal gas. $$PV=nRT$$

You have the pressure $$P$$, the temperature $$T$$, $$n$$ (the number of moles of the $$\ce{CO_2}$$), $$R$$ is a constant. Find the volume $$V$$.

• If you'd like to take the time, i would like to know what the exact answer to my question is, i mean - the result. Commented May 15, 2013 at 18:32
• @FrederikWitte You're not trying to use the site to get your homework done, are you? Commented May 15, 2013 at 18:39
• Just a side note: Pressure is usually referred to with a small $p$. Commented Apr 2, 2014 at 2:29
• @Martin It can be represented by both. Commented Apr 2, 2014 at 4:57
• @Jerry, you are right. IUPAC goldbook suggests a small $p$. Commented Apr 2, 2014 at 8:05