A small bubble rises from the bottom of a lake, where the temperature and pressure are 8oC and 6.0atm, to the water's surface, where the temperature is 25oC and pressure is 1.0 atm. Calculate the final volume of the bubble if its initial volume was 2mL.

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A small bubble rises from the bottom of a lake, where the temperature and pressure are 8^oC and 6.0atm, to the water's surface, where the temperature is 25^oC and pressure is 1.0 atm. Calculate the final volume of the bubble if its initial volume was 2mL.

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14 mL

12.72 mL

11.31 ml

15 mL

answer is B.

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Detailed Solution

The moles of the gas in the bubble remains constant, so that n₁ = n₂. To calculate the final volume,V₂
$\begin{array}{l} V_{2} = V_{1} \times \frac{P_{1}}{P_{2}} \times \frac{T_{2}}{T_{1}} \\ = 2 .0 mL \times \frac{6 .0 atm}{1 .0 atm} \times \frac{298 K}{281 K} \\ = 12 .72 mL \end{array}$