At 25.0 m below the surface of the sea(density=1025 kg/m^3) where the temperature is 5.00 C, a diver exhales an air bubble having a volume of 1.00 cm^3. If the surface temperature of the sea is 20.0 C, what is the volume of the bubble just before it breaks the surface?

You have two things here, temp and Pressure.

Volume2=P1T2/P2T1

where condition1 is starting, condition2 is at surface.

Pressure at surface is one atm.
Pressure at 25m below is 0ne atm + pressure of weight of water above. To get the pressure at depth ..

P1= one atm + heightwater*densitywater*g

Change your temps to Kelvins.

...im really sorry
but i don't understand anything you're telling me.
I don't even understand where to start on this problem.

I left out V2

Volume2=volume1*P1T2/P2T1

No problem! Let's break down the problem step by step.

First, we need to calculate the pressure at a depth of 25.0 m below the surface of the sea. The pressure at this depth is equal to the atmospheric pressure (one atm) plus the pressure due to the weight of the water above.

To calculate the pressure due to the weight of the water, we use the formula: pressure = density of water * acceleration due to gravity * height of water.

In this case, the height of water is 25.0 m, the density of water is 1025 kg/m^3, and the acceleration due to gravity is approximately 9.8 m/s^2.

So, the pressure at the depth of 25.0 m below the surface is:

Pressure1 = 1 atm + (1025 kg/m^3 * 9.8 m/s^2 * 25.0 m)

Next, we need to convert the temperatures to Kelvin. This is done by adding 273.15 to the Celsius temperature.

Temperature1 = 5.00 °C + 273.15 = 278.15 K
Temperature2 = 20.0 °C + 273.15 = 293.15 K

Now, we can use the formula Volume2 = (Volume1 * Pressure1 * Temperature2) / (Pressure2 * Temperature1) to find the volume of the bubble just before it breaks the surface.

However, we still need to know the pressure at the surface (Pressure2). You mentioned that it is one atm, which is equivalent to the atmospheric pressure at sea level.

So, with Pressure2 = 1 atm, we can substitute all the values into the formula:

Volume2 = (1.00 cm^3 * Pressure1 * Temperature2) / (1 atm * Temperature1)

Simplifying this expression will give us the required volume (Volume2) of the bubble just before it breaks the surface.