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Q.

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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a

14 mL

b

12.72 mL

c

11.31 ml

d

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
$\begin{array}{l} V_{2} = V_{1} \times \frac{P_{1}}{P_{2}} \times \frac{T_{2}}{T_{1}} \\ = 2 .0 mL \times \frac{6 .0 atm}{1 .0 atm} \times \frac{298 K}{281 K} \\ = 12 .72 mL \end{array}$

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