QQuestionAnatomy and Physiology
QuestionAnatomy and Physiology
Question: In the upper 10 km of the crust, the geothermal gradient is typically about $25^{\circ} \mathrm{C}$ per km, but can range from $15^{\circ} \mathrm{C} / \mathrm{km}$ to $50^{\circ} \mathrm{C} / \mathrm{km}$. Plot these three...
In the upper 10 km of the crust, the geothermal gradient is typically about $25^{\circ} \mathrm{C}$ per km, but can range from $15^{\circ} \mathrm{C}$ $/ \mathrm{km}$ to $50^{\circ} \mathrm{C} / \mathrm{km}$. Plot these three geothermal gradients for the upper 10 km of the Earth.
Depth (km)
| 0 | | | | | | | | | | |
| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
| 1 | | | | | | | | | | |
| 2 | | | | | | | | | | |
| 3 | | | | | | | | | | |
| 4 | | | | | | | | | | |
| 5 | | | | | | | | | | |
| 6 | | | | | | | | | | |
| 7 | | | | | | | | | | |
| 8 | | | | | | | | | | |
| 9 | | | | | | | | | | |
| 0 | 50 | 100 | 150 | 200 | 250 | 300 | 350 | 400 | 450 | 500 |
Temperature $\left({ }^{\circ} \mathrm{C}\right)$ Answer the following questions based on the graphed data above:
| The deepest mine on Earth extends penetrates to a depth
of 2 km . How hot is it at the bottom of that mine? | |
| --- | --- |
| What is the range of temperatures that you could expect
at a depth of 8 km ? | |
6 months agoReport content
Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1: To find the temperature at the bottom of the mine that extends to a depth of 2 km, we use the geothermal gradient of $25^{\circ} extrm{C}$ per km.
= 50^{\circ} extrm{C}
We multiply the geothermal gradient by the depth of the mine. Temperature at 2 km depth = Geothermal gradient * Depth
Final Answer
Step 2: To find the range of temperatures at a depth of 8 km, we use the minimum and maximum geothermal gradients given: $15^{\circ} extrm{C}$ /km and $50^{\circ} extrm{C}$ /km. We multiply each gradient by the depth of 8 km to find the corresponding temperatures. Temperature range at 8 km depth: Minimum temperature = Minimum geothermal gradient * Depth = 15^{\circ} extrm{C/km} imes 8 km = 120^{\circ} extrm{C} Maximum temperature = Maximum geothermal gradient * Depth = 50^{\circ} extrm{C/km} imes 8 km = 400^{\circ} extrm{C}
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students