Question

The maximum depth dmax that a diver can snorkel is set by the density of the water and the fact that human lungs can function against a maximum pressure difference (between inside and outside the chest cavity) of 0.056 atm.what is the difference in dmax for fresh water and the water of the deadsea (the saltiest natural water in the world, with a density of 1.40× 103 kg/m3)?

Answer 1

Answer:

17 cm

Step-by-step explanation:

1. Depth in fresh water

p(water) = hρg

d(max) = h = p/(ρg)

Convert atmospheres to pascals

0.056 atm × 101 325 Pa/1 atm = 5670 Pa

h = 5670 Pa/(1000 kg·m⁻³ × 9.806 m·s⁻²) × (1 kg·m⁻¹s⁻²/1 N) = 0.579 m

2. Depth in Dead Sea

d(max) = 5670/(1400 × 9.806) = 0.413 m

3. Difference

Difference = 0.579 – 0.413 = 0.17 m  = 17 cm

The difference in d(max) is 17 cm.