If it takes you 10 min. to boil an egg to perfection at sea level, how long would it take to boil an egg to your taste in the Carpathian Mountains at elevations of 8,500 ft?a)The boiling point of water in the Carpathian Mountains is greater than 100 °C because of lower atmospheric pressure which results in increased intermolecular forces, so it would take less time to boil the egg.b)The boiling point of water in the Carpathian Mountains is less than 100 °C because of lower atmospheric pressure which results in reduced intermolecular forces, so it would take a longer time to boil the egg.c)The boiling point of water is always 100 °C regardless of elevation so it would take the same amount of time to boil the egg.

The boiling point of water in the Carpathian Mountains is less than 100°C because of lower atmospheric pressure which results in reduced intermolecular forces, so it would take a longer time to boil the egg.

Explanation:

According to the equation [tex]\rho gh[/tex] the pressure of a fluid depends on the height, h, directly. That is, the greater the height, the greater the density.

Firstly, air is a fluid, as it's a mixture of gases. Secondly, it's important to understand that h is the height difference between the sea level and the upper layers of atmosphere. That is, if we climb a mountain, we decrease the h term: going up decreases the distance between the climber and the upper layers of atmosphere.

We may, therefore, conclude that with an increase in height, the pressure exerted decreases. Now, the lower the pressure, the lower the boiling point would be. The reason is simply because for a lower pressure, a lower amount of kinetic energy is required for the gas molecules to escape the surface of a liquid.

To conclude, since the Carpathian Mountains provide such a high elevation, the boiling point is lower than [tex]100^oC[/tex], as we have a lower atmospheric pressure. This implies that the strength of intermolecular forces is reduced and it would take a longer time to boil an egg.