Question

The volume of a diver's lungs was measured to be 3.6 liters at 1.0 atmosphere of pressure. as the diver descends, assuming that no air is lost, the pressure increases to 3.2 atmospheres. what is the new lung volume?

Answer 1

The new lung volume is 3.6 liters.

Step-by-step explanation:

According to the combined gas law, the volume and pressure of a gas are inversely proportional, assuming constant temperature. We can use this law to solve the problem. Since the initial volume and pressure of the diver's lungs are given, we can use the formula P1V1 = P2V2 to find the new lung volume. Substituting the given values gives:

1.0 atm * 3.6 L = 3.2 atm * V2

Solving for V2, we find:

V2 = (1.0 atm * 3.6 L) / 3.2 atm = 3.6 L

Therefore, the new lung volume is 3.6 liters.

Answer 2

To find the new lung volume, we can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional at a constant temperature. By plugging in the given values and solving the equation, we can determine that the new lung volume is 4.5 liters.

Step-by-step explanation:

To find the new lung volume, we can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional at a constant temperature. We can set up the equation:

P1V1 = P2V2

Where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume.

Plugging in the values from the question, we have:

(1.0 atm)(3.6 L) = (3.2 atm)(V2)

Solving for V2, we get:

V2 = (1.0 atm)(3.6 L) / (3.2 atm)

V2 = 4.5 L

Therefore, the new lung volume is 4.5 liters.