The temperature at the foot of a mountain is `30^(@)C` and pressure is `760 mm Hg`, whereas at the top of the mountain these are `0^(@)C` and `710 mm Hg` . Compare the densities of air at the foot and top of the mountain.

Explanation

To compare the densities of air at the foot and the top of the mountain, we can use the Ideal Gas Law, which states that:

\[ PV = nRT \]

Where:
- \( P \) = pressure
- \( V \) = volume
- \( n \) = number of moles
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