Mole ConceptHard

Question

A mixture is made equal volume of CO and air. A spark passed through so that all the oxygen is converted to carbon dioxide. What will be fractional decrease in the total volume of system assuming pressure and temperature remain constant? Air contains 20% oxygen by volume.

Options

A.0.1
B.0.2
C.0.15
D.0.3

Solution

$CO + \frac{1}{2}O_{2} \rightarrow CO$

0.4V mL 0.2V mL 0.4V mL

Decrease in volume = (0.4V + 0.2V) – 0.4V = 0.2V

∴ Fractional decrease in volume = $\frac{0.2V}{2V} = 0.1$

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