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Question
A small bubble rises from the bottom of a lake where the temperature and pressure are 6°C and 4 atm. to the water surface, where the temperature is 25°C and pressure is 1 atm. Calculate the final volume in (mL) of the bubble, if its initial volume is 1.5 mL.
Solution
T1 = 6°C + 273 = 279 K
P1 = 4 atm
V1 = 1.5 ml
T2 = 25°C + 273 = 298 K
P2 = 1 atm
V2 = ?
`("P"_1"V"_1)/("T"_1) = ("P"_2"V"_2)/("T"_2)`
V2 = `("P"_1"V"_1)/("T"_1) xx "T"_2/"P"_2`
= `(4 "atm" xx 1.5 "ml" xx 298 "K")/(279 "K" xx 1 "atm")`
V2 = 6.41 ml
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