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The % by volume of C4H10 in a gaseous mixture of C4H10, CH4 and CO is 40. When 200 ml of the mixture is burnt in excess of O2. Find volume (in ml) of CO2 produced.
  • a)
    220
  • b)
    340
  • c)
    440
  • d)
    560
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The % by volume of C4H10 in a gaseous mixture of C4H10, CH4 and CO is ...
There is one Carbon atom in the molecule of CO2.
Volume of C4 H10  in the mixture = 80 ml
volume of CO2 produced by combustion of C4H10 = 4 * 80 = 320 ml
as there are 4 Carbons in each molecule.
volume of CH4 + CO in mixture = 120 ml
volume of CO2 produced = 120 ml
Total volume of CO2 = 320 + 120 = 440 ml

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Community Answer
The % by volume of C4H10 in a gaseous mixture of C4H10, CH4 and CO is ...
Given: % by volume of C4H10 in the mixture = 40

To find: Volume of CO2 produced when 200 ml of the mixture is burnt in excess of O2

Let's assume the total volume of the mixture as V ml.

Volume % of C4H10 in the mixture = 40
Volume % of CH4 in the mixture = (100 - 40)/2 = 30
Volume % of CO in the mixture = (100 - 40 - 30) = 30

So, the volume of C4H10 in the mixture = (40/100) x V ml = 0.4V ml
The volume of CH4 in the mixture = (30/100) x V ml = 0.3V ml
The volume of CO in the mixture = (30/100) x V ml = 0.3V ml

When the mixture is burnt in excess of O2, the following reaction takes place:

C4H10 + 13/2 O2 → 4CO2 + 5H2O

From the balanced chemical equation, we can see that for every 1 volume of C4H10, 4 volumes of CO2 are produced.

So, the volume of CO2 produced from C4H10 = 4 x 0.4V ml = 1.6V ml

Similarly, the volume of CO2 produced from CH4 and CO can be calculated as follows:

CH4 + 2O2 → CO2 + 2H2O
For every 1 volume of CH4, 1 volume of CO2 is produced.
So, the volume of CO2 produced from CH4 = 1 x 0.3V ml = 0.3V ml

CO + 1/2 O2 → CO2
For every 1 volume of CO, 1 volume of CO2 is produced.
So, the volume of CO2 produced from CO = 1 x 0.3V ml = 0.3V ml

Therefore, the total volume of CO2 produced when 200 ml of the mixture is burnt in excess of O2 is:

Total volume of CO2 = Volume of CO2 produced from C4H10 + Volume of CO2 produced from CH4 + Volume of CO2 produced from CO
Total volume of CO2 = 1.6V ml + 0.3V ml + 0.3V ml
Total volume of CO2 = 2.2V ml

As we know, the total volume of the mixture is V = 200 ml, we can substitute V = 200 ml in the above equation to get the total volume of CO2 produced.

Total volume of CO2 = 2.2 x 200 ml = 440 ml

Hence, the correct option is (c) 440 ml.
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