Solving Chemistry Problem: Reactions, CO2 & Volumes

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The discussion revolves around a chemistry problem involving the reaction of gases, specifically hydrogen and carbon monoxide, with oxygen. The initial gas volume of 40 cm³ reacts with excess oxygen, resulting in a final volume of 51 cm³, which decreases to 41 cm³ after adding KOH that absorbs CO2. The key equations for the reactions are provided, indicating that 2 moles of hydrogen and carbon monoxide react with oxygen to produce water and carbon dioxide, respectively. The volume of CO2 produced is determined to be 10 cm³, and the remaining gas volume is attributed to nitrogen, which does not react. The calculations confirm that the total volume of hydrogen and carbon monoxide is less than 40 cm³, ensuring the problem's constraints are satisfied.
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Homework Statement

40 cm3 of a gas was exploded with 40 cm3 of oxygen (known to be in excess). Under the conditions used, only hydrogen and carbon monoxide reacted with oxygen. On cooling the mixture to room temperature, the volume was 51 cm3. On adding concentrated KOH, the volume decreased further to 41 cm3 as CO2 was absorbed.

a. Write equations (including the state symbols at room temperature) for the reactions which occur on explosion.

b. What are the relative volumes of gaseous reactants to gaseous products in these reactions?

c. What volume of carbon dioxide is produced?

d. What is the volume of carbon monoxide in the original 40 cm3 of gas?

e. What is the total decrease in volume as a result of the explosion?

f. What decrease in volume is caused by (1) CO and (2) H2 on explosion?

g. What are the volumes of (1) H2 and (2) N2 in the original 40 cm3 of gas?

The attempt at a solution

a. 2 H2 (g) + O2 (g) > 2 H2O (l)
2 CO (g) + O2 (g) > 2 CO2 (g)
b. 2 + 1 : 2 = 3 : 2

I feel like I'm missing something really obvious after that...
 
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When adding the KOH, 51-41=10 cm^3 CO2 is absorbed. From this you know the amount of CO as well, because each CO2 molecule is produced from one CO.

The decrease of the volume is due to the liquid H2O (the volume of the liquid can be neglected when compared to the volume of the gas), which comes from H2, so from this you can calculate the amount of H2 in the original gas.

So you know the volume of CO and H2. Hopefully, their sum is less then 40 cm^3 :)
The rest must be N2, which does not react with oxygen (in this setup).
 
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