Question

# A bubble of air is underwater at temperature $$15^{o}C$$ and the pressure 1.5 bar. If the bubble rises to the surface where the temperature is $$25^{o}C$$ and the pressure is 1.0 bar, what will happen to the volume of the bubble?

A
Volume will become greater by a factor of 2.5
B
Volume will become greater by a factor of 1.6
C
Volume will become greater by a factor of 1.1
D
Volume will become smaller by a factor of 0.70

Solution

## The correct option is B Volume will become greater by a factor of 1.6$$P_{1}=1.5 bar$$     $$P_{2}=1$$$$T_{1}=288 K$$     $$T_{2}=298 K$$$$V_{1}=V$$     $$V_{2}=?$$$$\dfrac{P_{1}V_{1}}{T_{1}}=\dfrac{P_{2}V_{2}}{T_{2}}$$$$V_{2}=1.55 V$$Chemistry

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