A small bubble rises from the bottom of a lake, where the temperature and pressure are `8^(@)C` and `6.0 atm`, to the water's surface, where the temperature is `25^(@)C` and pressure is `1.0 atm`. Calculate the final volume of the bubble if its initial volume was `2mL`.
A
14 mL
B
12.72 mL
C
11.31 mL
D
15 mL
Text Solution
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The correct Answer is:
b
(b) The moles of the gas in the bubble remains constant, so that `n_(1)=n_(2)`. To calculate the final volume, `V_(2),` `V_(2)=V_(1)xx(P_(1))/(P_(2))xx (T_(2))/(T_(1))` ` =2.0 mLxx(6.0 atm)/(1.0 atm)xx(298 K)/(281K)` `=12.72 mL`
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