Question

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 . Keeping other conditions constant, if the mantle and the crust were closer to each other, the temperature gradient between the two would be .

Answer 1

Given:

Temperature at A = 60 C

Temperature at B = 55 C

To determine:

The temperature gradient

Explanation:

Temperature gradient can be expressed as the variation in temperature from one point to the other

Temperature gradient = ΔT/Δd

= (60-55) C/50 m = 0.1 C/m

Ans: Thus the temperature gradient is 0.1 C/m

Answer 2

Based on the calculations, the temperature gradient between the two points is equal to 0.1 °C/m.

How to calculate the temperature gradient between the points?

Mathematically, the temperature gradient between two points can be calculated by using this formula:

DT = ΔT/ΔX = (TB - TA)/ΔX.

Where:

• TA is the temperature at point A.

• TB is the temperature at point B.

• DT is the temperature gradient.

• ΔX is the distance.

Substituting the given parameters into the formula, we have;

DT = (55 - 50)/50

DT = 5/50

DT = 0.1 °C/m.

In conclusion, if the mantle and the crust were closer to each other, the temperature gradient between the two would be higher, provided other conditions are kept constant.

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