Hi, how to calculate Atmospheric Pressure (hPa) using the peak of the Mountain distance (d) and above sea level (hPa)? If the Mountain is 8000m high and the atmospheric pressure at sea level is 1013 hpa. If pressure is 12% lower at 1000m above sea level, find the approx. atmospheric pressure in the peak of the mountain?
Pls..response
If it loses 12% per 1000m, then 1013* 0.88^8 = ____
If it just loses .12*1013=121.56hPa per 1000m, then
1013 - 121.56*8 = _____
Thank you very much!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
To calculate the approximate atmospheric pressure at the peak of the mountain, we can start by finding the pressure at 1000m above sea level, and then adjust it for the remaining height.
Step 1: Calculate the pressure at 1000m above sea level
Given that the pressure decreases by 12% for every 1000m above sea level, we can calculate the pressure at 1000m as follows:
Pressure at 1000m = (100% - 12%) * Pressure at sea level
= 88% * 1013 hPa
= 0.88 * 1013 hPa
≈ 891.44 hPa
Step 2: Calculate the pressure at the peak of the mountain
Since the mountain is 8000m high, we need to adjust the pressure calculated at 1000m above sea level for the remaining 7000m.
To do this, we need to know the relationship between pressure and altitude. The most commonly used model is the barometric formula, which states that the pressure decreases exponentially with increasing altitude.
However, for the purpose of this approximate calculation, we can assume a linear decrease, which means the pressure decreases at a constant rate per meter.
So, the rate of pressure decrease per meter can be calculated as:
Pressure decrease per meter = (Pressure at sea level - Pressure at 1000m) / 1000m
Then we can use this rate to calculate the approximate pressure at the peak:
Pressure at the peak = Pressure at 1000m - (Rate of pressure decrease per meter * Remaining height)
In this case,
Rate of pressure decrease per meter = (1013 hPa - 891.44 hPa) / 1000m
= 0.12156 hPa/m
Pressure at the peak = 891.44 hPa - (0.12156 hPa/m * 7000m)
= 891.44 hPa - 850.92 hPa
≈ 40.52 hPa
Therefore, the approximate atmospheric pressure at the peak of the mountain is approximately 40.52 hPa.