A particular deep-sea fish has a swim bladder that can hold a maximum to 0.34 L of gas. It lives at 500m depth. If
the fish's swim bladder currently holds 0.12 L of gas, how high could researchers safely raise it before rupturing
("popping") the swim bladder? (Show your work)

Explanation:

Assuming constant temperature, you can use Boyle's law:

Where:

Then, determine p₂:

From the table, there is a linear relationship between pressure (atm) and water depth (m).

The slope of the linear function is about 0.099:

The y-intercept is 1.00 (the point 0, 1.00).

Then, the linear function is: Pressure = 1 + 0.099×depth

Now you can find the depth at wich the pressure is 17.85 atm

Hence, the fish's swimm bladder will ruputure at 170m.

the old alchemists made significant contributions to science even though there starting premises were off a bit. their conclusions after failure would steer them into better directions for investigation. science is no more than close observation and the initial mistakes result in rethinking and retrying experiments.