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Atmospheric pressure, as a function of altitude. (1 Point)

Question

Atmospheric pressure, as a function of altitude. (1 Point)

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Solution

Atmospheric pressure decreases with an increase in altitude. Here's a step-by-step explanation:

  1. Atmospheric pressure is the force exerted by the weight of the air in the atmosphere. At sea level, the average atmospheric pressure is approximately 1013.25 hPa (hectopascals).

  2. As you ascend in altitude, the amount of air above you decreases, and therefore the weight of the air (and the force it exerts) decreases. This results in a decrease in atmospheric pressure.

  3. This decrease is not linear, meaning it doesn't decrease at a constant rate. The rate of decrease actually slows down as you go higher. This is because the atmosphere is not of uniform density - it gets thinner as you go higher.

  4. The exact relationship between pressure and altitude is given by the barometric formula, which takes into account the varying density of the atmosphere. The formula is: P = P0 * (1 - (Lh)/T0)^(gM/(R*L)), where P is the pressure at height h, P0 is the pressure at sea level, L is the temperature lapse rate, T0 is the temperature at sea level, g is the acceleration due to gravity, M is the molar mass of Earth's air, and R is the ideal gas constant.

  5. In general, for every 1000 meters you ascend, the pressure decreases by about 12%.

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