Mole ConceptHard
Question
A volume of 200 ml of oxygen is added to 100 ml of a mixture containing CS2 vapour and CO, and the total mixture is burnt. After combustion, the volume of the entire mixture is 245 ml. Calculate the volume of the oxygen that remains
Options
A.67.5 ml
B.125.0 ml
C.200.0 ml
D.100.0 ml
Solution
$CS_{2} + 3O_{2} \rightarrow CO_{2} + 2SO_{2}$
V mL 3V mL V mL 2V mL
2CO + O2 → 2CO2
$$(100 - V)\text{mL} \frac{1}{2}(100 - V)\text{mL} (100 - V)\text{mL}$$
Total contraction in volume, $V + \frac{1}{2}(100 - V) = (100 + 200) - 245 \Rightarrow V = 10$.
Hence, the volume of O2 remained $= 200 - \left\lbrack 3V + \frac{1}{2}(100 - V) \right\rbrack = 125\text{ mL}$
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