Can Humans Climb Halfway Up Mount Kilimanjaro Without Altitude Sickness?

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In summary, Mount Kilimanjaro is the highest peak on the African continent, standing at approximately 5900m above sea level. To determine if normal human beings can scale half of the mountain without feeling uncomfortable, the gas constant of 287 J/kg K and temperature lapse rate of 0.0065 K/m are used. With the known fact that altitude sickness can occur when the pressure drops below 75 kPa, it is calculated that the pressure at the midpoint is 86.5 kPa, indicating that humans can scale half of the mountain without discomfort.
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Homework Statement


Mount Kilimanjaro is the highest peak on the African continent and rises to a height of
approximately 5900m above sea level.Take the gas constant to be 287 J/kg K and the temperature
lapse rate to be 0.0065 K/m.
It is known that altitude sickness can occur to human beings when the absolute pressure of the
atmosphere drops below 75 kPa.Determine if normal human beings can scale half of the mountain
without feeling uncomfortable if the pressure and temperature at ground level is 101 kPa and 25°C



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The Attempt at a Solution

 
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We can use the equation P = P0 e^(-Mg/RT) to calculate the pressure at the midpoint of the mountain (halfway between ground level and the peak). P = 101e^(-9.81*2950/287*288.15)P = 86.5 kPaSince the pressure at the midpoint is greater than 75 kPa, normal human beings can scale half of the mountain without feeling uncomfortable.
 

What is pressure and how is it measured?

Pressure is the force exerted per unit area on an object. It can be measured using a pressure gauge, which typically measures in units of pounds per square inch (psi) or pascals (Pa).

Why is it important to determine pressure in various situations?

Pressure is important to determine in various situations because it can affect the behavior and stability of objects and systems. For example, high pressure can cause materials to compress or explode, while low pressure can cause objects to expand or collapse.

What are some practical applications of pressure measurement?

Pressure measurement is used in a variety of industries and fields, including engineering, meteorology, medicine, and transportation. It is used to monitor and control processes, predict weather patterns, diagnose medical conditions, and ensure safe operation of vehicles and equipment.

How can pressure be calculated or estimated?

Pressure can be calculated or estimated using various equations, such as the ideal gas law or Bernoulli's equation. It can also be measured indirectly by measuring other variables, such as force and area, and using conversion factors.

What factors can affect pressure and how can they be controlled?

Factors that can affect pressure include temperature, altitude, and external forces. These can be controlled by adjusting the temperature, changing the altitude, or using structural supports and barriers to counteract external forces.

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