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You are climbing the Haleakala Volcano on Maui at night to see the sunrise at dawn on the 3055-meter summit. The temperature at the coastline is 37.6ºC.

- The environmental lapse rate from the coastline to 1625 meters is 3.8ºC/1000m.
- The environmental lapse rate from 1625 meters to 2500 meters is 9.1ºC/1000m.
- The environmental lapse rate above 2500 meters is 10ºC/1000m.

What is the temperature on the summit of the Haleakala Volcano? Calculate your answer to one decimal point.

Answer :

The temperature on the summit of the Haleakala Volcano is 17.9ºC

How to calculate the temperature on the summit of the Haleakala Volcano

To calculate the temperature on the summit of the Haleakala volcano, we got to consider the natural slip-by rates at diverse rises.

To start with, let's calculate the temperature at 1625 meters.

The tallness difference from the coastline to 1625 meters is 1625 meters - meters = 1625 meters.

The pass rate is 3.8ºC/1000m.

So, the temperature alters is (1625 meters / 1000m) * 3.8ºC = 6.175ºC.

Subtracting this temperature alter from the coastline temperature of 37.6ºC, we get 37.6ºC - 6.175ºC = 31.425ºC at 1625 meters.

Another, let's calculate the temperature at 2500 meters. The tallness qualification from 1625 meters to 2500 meters is 2500 meters - 1625 meters = 875 meters.

The slip-by rate is 9.1ºC/1000m.

So, the temperature modification is (875 meters / 1000m) * 9.1ºC = 7.9625ºC.

Subtracting this temperature modification from the temperature at 1625 meters (31.425ºC), we get 31.425ºC - 7.9625ºC = 23.4625ºC at 2500 meters.

At the long final, for the summit at 3055 meters, the rise qualification from 2500 meters to 3055 meters is 3055 meters - 2500 meters = 555 meters. The slip-by rate over 2500 meters is 10ºC/1000m.

So, the temperature alters is (555 meters / 1000m) * 10ºC = 5.55ºC.

Subtracting this temperature alter from the temperature at 2500 meters (23.4625ºC), we get 23.4625ºC - 5.55ºC = 17.9125ºC at the summit.

In this way, the assessed temperature on the summit of Haleakala volcano is 17.9ºC.

Learn more about Haleakala Volcano here:

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