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AP Physics 2
9.4 The First Law of Thermodynamics
9.2 The Ideal Gas Law
IntermediateMCQProportional AnalysisConceptual24.9k
An air bubble rising through water from depth to the surface.
An air bubble rising through water from depth to the surface.
A bubble containing a fixed amount of ideal gas is released deep underwater at a depth where the total pressure is \(3P_0\). As the bubble rises to the surface where the ambient pressure is \(P_0\), its volume expands from \(V_0\) to \(2V_0\) while absorbing thermal energy from the surrounding water.

OptionRatio \(\dfrac{T_f}{T_i}\)Internal Energy Change \(\Delta U\)
A\(\dfrac{3}{2}\)Positive
B\(\dfrac{2}{3}\)Negative
C\(\dfrac{2}{3}\)Positive
D\(6\)Positive

Which entry in the table correctly identifies the ratio of the final absolute temperature to initial absolute temperature, \(\dfrac{T_f}{T_i}\), and the sign of the change in internal energy, \(\Delta U\), of the gas in the bubble?

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