Chlorofluorocarbons such as ${CCl}_{3} F$ (molecular mass =137.5 ) and ${CCl}_{2} F_{2}$ molecular mass = 121) have been linked to ozone depletion in Antarctica. A research reported that the concentration of these gases are 240 and 800 parts per trillion $(10^{12})$ , by volume respectively. What are the concentrations of these gases (in moles per litre) under conditions typical of Antarctic stratosphere ( 200" " K and 0.05 atm)?( $(R = 0, 08 L - atm / K mol)$ )

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$[{CCl}_{2} F_{2}] = 6.6 \times 10^{- 12} mol / L$

$[{CCl}_{3} F] = 7.5 \times 10^{- 18} mol / L$

$[{CCl}_{2} F_{2}] = 2.5 \times 10^{- 12} mol / L$

$[{CCl}_{3} F] = 1.75 \times 10^{- 12} mol / L$

answer is A, C.

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Detailed Solution

$10^{12} L ⟶ 240 L; 800 L$

$∴ 1 L ⟶ 240 \times 10^{- 12} L; 800 \times 10^{- 12} L$

$∴ n = \frac{0.05 \times 240 \times 10^{- 12}}{0.08 \times 200};$

$= 7.5 \times 10^{- 13}$ , $[{CCl}_{3} F]$

$= \frac{0.05 \times 800 \times 10^{- 12}}{0.08 \times 200}$

$= 2.5 \times 10^{- 12}$ ${CCl}_{2} F_{2}$

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