The maximum depth `d_(max)` 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 0.050 atm. What is the difference in `d_(max)` for fresh water and the water of the Dead Sea (the saltiest natural water in the world, with a density of `1.5 x 10^(3) kg//m^(3)`)?

Explanation

To solve the problem, we need to calculate the maximum depth \( d_{max} \) that a diver can snorkel in both fresh water and the water of the Dead Sea, and then find the difference between these two depths.

### Step-by-Step Solution:

1. **Understand the Pressure Difference**:
The maximum pressure difference that human lungs can withstand is given as \( \Delta P = 0.050 \, \text{atm} \).

2. **Convert Pressure Difference to Pascals**:
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