Sure, let's go through this step-by-step.
1. We know that Point A and Point B are 50 meters apart.
2. The temperature at Point A is 60°C.
3. The temperature at Point B is 55°C.
To find the temperature gradient between the two points, we use the formula for temperature gradient:
[tex]\[ \text{Temperature Gradient} = \frac{\text{Temperature difference between the points}}{\text{Distance between the points}} \][/tex]
4. The temperature difference between Point A and Point B is:
[tex]\[ 60°C - 55°C = 5°C \][/tex]
5. The distance between the points is 50 meters.
6. Dividing the temperature difference by the distance gives the temperature gradient:
[tex]\[ \text{Temperature Gradient} = \frac{5°C}{50 \text{ meters}} = 0.1°C \text{ per meter} \][/tex]
So, the temperature gradient between the points is 0.1°C per meter.
Now, for the second part:
If the mantle and the crust were closer to each other, assuming other conditions remain constant, the temperature gradient between the two would be:
- Larger. Temperature gradients increase when the same change in temperature occurs over a shorter distance. Thus, if the mantle and the crust were closer together, the temperature change per unit distance would be greater.
