Mole ConceptHard
Question
Chlorofluorocarbons such as CCl3F (M = 137.5) and CCl2F2 (M = 121) have been linked to ozone depletion in Antarctica. As of 2004, these gases were found in 275 and 605 parts per trillion (1012), by volume. What are the concentrations of these gases under conditions typical of Antarctica stratosphere (200 K and 0.08 atm)?
(R = 0.08 l-atm/K-mol)
Options
A.[CCl3F] = 1.375 × 10–12 mol l–1, [CCl2F2] = 3.025 × 10–12 mol l–1
B.[CCl3F] = 2.75 × 10–14 mol l–1, [CCl2F2] = 6.05 × 10–14 mol l–1
C.[CCl3F] = 2.75 × 10–10 mol l–1, [CCl2F2] = 6.05 × 10–10 mol l–1
D.[CCl3F] = 1.375 × 10–13 mol l–1, [CCl2F2] = 3.025 × 10–12 mol l–1
Solution
$\left\lbrack CCl_{3}F \right\rbrack = \frac{275 \times 0.08}{0.08 \times 200} \times 10^{- 12} = 1.375 \times 10^{- 12}\text{ M}$
$\left\lbrack CCl_{2}F_{2} \right\rbrack = \frac{605 \times 0.08}{0.08 \times 200} \times 10^{- 12} = 3.025 \times 10^{- 12}\text{ M}$
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