As shown in Fig. 2.6 for the U.S. standard atmosphere, the troposphere extends to an altitude of 11 km where the pressure is 22.6 kPa (abs). In the next layer, called the stratosphere, the temperature remains constant at −56.5 °C. Determine the pressure and density in this layer at an altitude of 15 km. Assume g = 9.77 m/s^2  in your calculations.

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As shown in Fig. 2.6 for the U.S. standard atmosphere, the troposphere extends to an altitude of 11 km where the pressure is 22.6 kPa (abs). In the next layer, called the stratosphere, the temperature remains constant at −56.5 °C. Determine the pressure and density in this layer at an altitude of 15 km. Assume g = 9.77 m/s^2  in your calculations.
### Temperature and Altitude Relationship in Earth's Atmosphere

This graph illustrates the relationship between temperature and altitude in Earth's atmosphere, highlighting the Troposphere and Stratosphere layers.

#### Axes:
- **Horizontal Axis (x-axis):** Represents Temperature (T) in degrees Celsius (°C), ranging from -100°C to +20°C.
- **Vertical Axis (y-axis):** Represents Altitude (z) in kilometers (km), spanning from 0 km to 50 km.

#### Data Points and Annotations:
- At **0 km** altitude: Temperature is 15°C, with pressure \( p = 101.3 \) kPa (absolute).
- At **11.0 km** altitude: Temperature is -56.5°C, with pressure \( p = 22.6 \) kPa.
- At **20.1 km** altitude: Temperature remains at -56.5°C, with pressure \( p = 5.5 \) kPa.
- At **32.2 km** altitude: Temperature is -44.5°C, with pressure \( p = 0.9 \) kPa.
- At **47.3 km** altitude: Temperature is -2.5°C, with pressure \( p = 0.1 \) kPa.

#### Atmospheric Layers:
- **Troposphere:** This layer extends from the Earth's surface up to approximately 11 km. Temperature decreases with altitude up to -56.5°C.
- **Stratosphere:** Extends from the end of the troposphere up to about 50 km. Initially, the temperature remains constant, then increases with altitude.

This graph highlights how temperature profiles differ between the lower and upper atmospheric layers, which is crucial for understanding weather patterns and atmospheric science.
Transcribed Image Text:### Temperature and Altitude Relationship in Earth's Atmosphere This graph illustrates the relationship between temperature and altitude in Earth's atmosphere, highlighting the Troposphere and Stratosphere layers. #### Axes: - **Horizontal Axis (x-axis):** Represents Temperature (T) in degrees Celsius (°C), ranging from -100°C to +20°C. - **Vertical Axis (y-axis):** Represents Altitude (z) in kilometers (km), spanning from 0 km to 50 km. #### Data Points and Annotations: - At **0 km** altitude: Temperature is 15°C, with pressure \( p = 101.3 \) kPa (absolute). - At **11.0 km** altitude: Temperature is -56.5°C, with pressure \( p = 22.6 \) kPa. - At **20.1 km** altitude: Temperature remains at -56.5°C, with pressure \( p = 5.5 \) kPa. - At **32.2 km** altitude: Temperature is -44.5°C, with pressure \( p = 0.9 \) kPa. - At **47.3 km** altitude: Temperature is -2.5°C, with pressure \( p = 0.1 \) kPa. #### Atmospheric Layers: - **Troposphere:** This layer extends from the Earth's surface up to approximately 11 km. Temperature decreases with altitude up to -56.5°C. - **Stratosphere:** Extends from the end of the troposphere up to about 50 km. Initially, the temperature remains constant, then increases with altitude. This graph highlights how temperature profiles differ between the lower and upper atmospheric layers, which is crucial for understanding weather patterns and atmospheric science.
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