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.

1. they vary with a higher number because boiling is way hotter than melting

what is the question here. i think you messed up.