Let's address the question step-by-step:
### Step 1: Understanding Temperature Gradient Calculation
1. Identify the given quantities:
- Temperature at Point A: [tex]\( 60^\circ \text{C} \)[/tex]
- Temperature at Point B: [tex]\( 55^\circ \text{C} \)[/tex]
- Distance between Point A and Point B: [tex]\( 50 \)[/tex] meters
2. Calculate the temperature difference:
[tex]\[
\text{Temperature Difference} = \text{Temperature at Point A} - \text{Temperature at Point B} = 60^\circ \text{C} - 55^\circ \text{C} = 5^\circ \text{C}
\][/tex]
3. Calculate the temperature gradient:
[tex]\[
\text{Temperature Gradient} = \frac{\text{Temperature Difference}}{\text{Distance}} = \frac{5^\circ \text{C}}{50 \text{ meters}} = 0.1 \frac{^\circ \text{C}}{\text{meter}}
\][/tex]
### Step 2: Interpreting the Change in Temperature Gradient
Assume other conditions remain constant, and the mantle and crust are closer to each other. When two layers that transfer heat are closer, the rate of heat transfer tends to be greater due to a shorter distance over which the temperature changes.
### Step 3: Completing the Sentences
- The temperature gradient between the points is 0.1°C/m.
- If the mantle and the crust were closer to each other, the temperature gradient between the two would be larger (though the exact value isn't stated here, it implies an increase due to the increased rate of heat transfer).
So, your final answer should look like this:
Complete the sentences about temperature gradients.
Point A and point B are 50 meters apart. The temperature at point A is 60°C. At point B, it is 55°C. The temperature gradient between the points is 0.1°C/m. Assuming other conditions constant, if the mantle and the crust were closer to each other, the temperature gradient between the two would be larger.
