If a scuba diver's lungs have a normal capacity of 4.9l at sea level (1.0 atm), what would be the volume of her lungs if the pressure at a depth of 50 ft is 975 mmhg?

i believe the answer is 3.8 l

can someone confirm and show formula and work

The volume at 975 mmHg is 3.8 L.

Explanation:

Given data:

Volume of lungs = 4.9 L

Pressure = 1 atm

Volume of lungs = ?

When pressure becomes = 975 mmHg

Solution:

First of all we will convert the pressure into atm.

975 mmHg × 1 atm/ 760 mmHg

975 × 0.00132 atm

1.3 atm

At one atm volume is 4.9L.

1 atm = 4.9 L

Let consider the volume at 1.3 atm is x,

x = 4.9L / 1.3 L× 1atm

x = 3.8 L

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