Out of these three gases, only CO2 reacts with NaOH:
2NaOH + CO2 --> Na2CO3 + H2O
Therefore, the volume and percentage of CO2 can be determined directly:
V(CO2) = 10L - 7.24L = 2.76 L
%CO2 = (2.76L / 10L) * 100% = 27.6%
The gas that reacts with Cl2 (there must be a mistake in the task description as chlorine exists only as a diatomic molecule) is CH4.
CH4 + 4Cl2 --> CCl4 + 4HCl
According to the reaction, 4 moles of Cl2 react with 1 mole of CH4. Therefore, 0.4 moles of Cl2 would react with 0.1 mole of CH4. Now the volume and percentage of CH4 can be determined (assuming STP conditions):
V (CH4) = n * VM = 0.1mol * 22.4L/mol = 2.24 L
%CH4 = (2.24L / 10L) * 100% = 22.4%
Finally, the remaining gas is He:
%He = 100% - 27.6% - 22.4% = 50%
Answer:
%CO2 = 27.6%
%CH4 = 22.4%
%He = 50%
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