100 sq cm of water gas is exploded with 100sq cm of oxygen and the residual gases are cooled to room temperature . Find the volume composition of the resulting mixture.
CO + H2 + O2→ CO2 + H2O (l)
First, we have to find the limiting reagent upon which the concentration of carbon dioxide depends.
Volume of water gas = 100 cc
Volume of CO = 50 cc = 0.05 L and Volume of H2 = 50 cc = 0.05 L ( as they are present in equal ratio in water gas).
Volume of O2 = 100 cc = 0.1 L
According to balanced chemical equation,
CO + H2 + O2→ CO2 + H2O(l)
1 mole or 22.4 L of O2 reacts with 1 mole or 22.4 L of CO.
So, 0.1 L of O2 will react with (22.4 x 0.1) / 22.4 = 0.1 L of CO.
As the given amount of CO is less than the required amount therefore, CO is the limiting reagent.
Now, 22.4 L of CO forms 22.4 L of CO2.
So, 0.05 L of CO will form (0.05x22.4) / 22.4 = 0.05 L of CO2.
Now, the amount of CO2 formed = 0.05 L = 50 cc
The amount of O2 left unreacted = 100 cc - 50 cc = 50 cc
Again, by balanced chemical equation,
22.4 L of H2 reacts with 22.4 L of O2.
Thus, 0.05 L of H2 will react with (0.05x22.4) / 22.4 = 0.05 L of O2.
Therefore, the remaining 50 cc of O2 will react with 50cc of H2 to from water.
The resultant mixture will contain only 50 cc CO2.