Question2. Der Luftdruck nimmt, wie rechts zu sehen, mit zunehmender Höhe ab. a) Begründen Sie, dass die Abnahme des Luftdrucks nicht gleichmäßig erfolgt. Wo ist die Abnahme am stärksten, wo ist sie am geringsten? b) Ermitteln Sie die durchschnittliche Abnahme zwischen 2 und 4 km Höhe und zwischen 8 und 10 km Höhe näherungsweise.
Studdy Solution
STEP 1
1. The graph represents the relationship between air pressure (in hPa) and altitude (in km).
2. The curve shows a non-linear decrease in air pressure with increasing altitude.
3. We need to analyze the rate of decrease in air pressure at different altitude ranges.
STEP 2
1. Analyze the non-uniform decrease in air pressure.
2. Calculate the average rate of decrease in air pressure between specified altitude ranges.
STEP 3
Observe the graph to determine where the decrease in air pressure is most and least pronounced. Typically, the steepest part of the curve indicates the greatest decrease, while the flattest part indicates the least decrease.
STEP 4
Based on the description, the air pressure decreases sharply at lower altitudes and more gradually at higher altitudes. Therefore, the decrease is strongest at lower altitudes and weakest at higher altitudes.
STEP 5
To find the average rate of decrease between 2 and 4 km, identify the air pressure values at these altitudes from the graph. Let be the pressure at 2 km and at 4 km. Calculate the average rate of decrease:
STEP 6
Similarly, find the average rate of decrease between 8 and 10 km. Let be the pressure at 8 km and at 10 km. Calculate the average rate of decrease:
The analysis shows that the decrease in air pressure is strongest at lower altitudes and weakest at higher altitudes. The average rates of decrease can be calculated using the pressure values from the graph at the specified altitudes.
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