Question

A 1.9 cm3 air bubble is released from the sandy bottom of a warm, shallow sea, where the gauge pressure is 1.7 atm . The bubble rises slowly enough that the air inside remains at the same constant temperature as the water.

Answer 1

The volume of bubble is 5.13 cm³.

Step-by-step explanation:

Given that,

Volume of air bubble = 1.9 cm³

Gauge pressure = 1.7 atm

Suppose we find the volume of the bubble as it reaches the surface

We need to calculate the pressure at bottom

Pressure at bottom=gauge pressure+atmospheric pressure

`P=1.7+1.0=2.7\ atm`

We need to calculate the volume of bubble

Using Boyle's law

`P_(1)V_(1)=P_(2)V_(2)`

Put the value into the formula

`2.7*1.9=1.0* V_(2)`

`V_(2)=(2.7*1.9)/(1.0)`

`V_(2)=5.13\ cm^(3)`

Hence, The volume of bubble is 5.13 cm³.