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Answer :
Final answer:
At 10,000 meters, taking into account the different environmental lapse rates at specified altitude intervals, the temperature will be -30.5°C.
Explanation:
To calculate the temperature at 10,000 meters when starting at 41.75°C at sea level, we will apply the provided environmental lapse rates at different altitudes. The first lapse rate of 9°C/1000m applies up to 3500 meters, and the second lapse rate of 5°C/1000m applies from 3500 meters to 4500 meters. Above 4500 meters, we use the normal lapse rate of 6.5°C/1000m for the calculation.
Step-by-Step Calculation:
From sea level to 3500 meters: 41.75°C - (9°C/1000m × 3.5) = 41.75°C - 31.5°C = 10.25°C
From 3500 meters to 4500 meters: 10.25°C - (5°C/1000m × 1) = 10.25°C - 5°C = 5.25°C
From 4500 meters to 10000 meters: 5.25°C - (6.5°C/1000m × 5.5) = 5.25°C - 35.75°C = -30.5°C
Therefore, the temperature at 10000 meters will be -30.5°C.
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