<u>Answer:</u> The mass of water produced is 1.8 grams
<u>Explanation:</u>
To calculate the number of moles, we use the equation:
.....(1)
Given mass of ethanol = 4.59 g
Molar mass of ethanol = 46.07 g/mol
Putting values in equation 1, we get:
![\text{Moles of ethanol}=\frac{4.59g}{46.07g/mol}=0.0996mol](https://tex.z-dn.net/?f=%5Ctext%7BMoles%20of%20ethanol%7D%3D%5Cfrac%7B4.59g%7D%7B46.07g%2Fmol%7D%3D0.0996mol)
The chemical equation for the reaction of ethanol with oxygen gas follows:
![CH_3CH_2OH+O_2\rightarrow CH_3COOH+H_2O](https://tex.z-dn.net/?f=CH_3CH_2OH%2BO_2%5Crightarrow%20CH_3COOH%2BH_2O)
By Stoichiometry of the reaction;
1 mole of ethanol produces 1 mole of water.
So, 0.0996 moles of ethanol will produce =
of water.
Now, calculating the mass of water from equation 1, we get:
Molar mass of water = 18 g/mol
Moles of water = 0.0996 moles
Putting values in equation 1, we get:
![0.0996mol=\frac{\text{Mass of water}}{18g/mol}\\\\\text{Mass of water}=(0.0996mol\times 18g/mol)=1.8g](https://tex.z-dn.net/?f=0.0996mol%3D%5Cfrac%7B%5Ctext%7BMass%20of%20water%7D%7D%7B18g%2Fmol%7D%5C%5C%5C%5C%5Ctext%7BMass%20of%20water%7D%3D%280.0996mol%5Ctimes%2018g%2Fmol%29%3D1.8g)
Hence, the mass of water produced is 1.8 grams