Question

In this task, we will investigate how the air pressure varies with the altitude in the atmosphere, we assume that pressure and temperature are 1 atm and 20°C respectively at sea level. The air can be considered as an ideal gas with a molecular weight of 29 kg / kmol. Earth gravitational acceleration g = 9.81 m/s². Determine the air pressure at an altitude of 5000 meter if: a) The air temperature is assumed to be constant Correct answer: a) 0,565 bar (I want a complete solution)

Answer 1

The air pressure at an altitude of 5000 meters, assuming a constant temperature, is approximately 0.565 bar.

Step-by-step explanation:

To calculate the air pressure at an altitude of 5000 meters, we need to consider the relationship between pressure and altitude. In this case, we are assuming a constant temperature. According to the given information, the air pressure decreases by a factor of 1/e for every 8800 meters. Using this information, we can estimate the air pressure at 5000 meters.

Since the pressure decreases by a factor of 1/e for every 8800 meters, we can calculate the factor for the given altitude as follows: 5000 / 8800 = 0.568.

Multiplying this factor by the initial pressure of 1 atm gives us the approximate air pressure at an altitude of 5000 meters: 0.568 * 1 atm = 0.568 atm = 0.565 bar.

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