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Question

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.

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Solution

100 cc each of water gas and oxygen are ignited and theresultant mixture og gases cooled to room temperature. Calculate the composition of the resultant mixture . The combustion reaction of water gas can be written as:

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.


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