Question

how much does the temperature change from the inner core to the outer core? from the outer core to the mantle)

Explanation:

To solve the problem of finding the temperature change between different Earth layers, we need to know the typical temperature ranges of these layers:

Step 1: Recall Temperature Ranges

• Inner Core: ~5,000–6,000 °C (often approximated as 5,500 °C for simplicity).
• Outer Core: ~4,000–5,000 °C (often approximated as 4,500 °C).
• Mantle (top of outer core to mantle boundary): ~1,000–4,000 °C (often approximated as 2,500 °C at the core - mantle boundary).

Temperature Change: Inner Core to Outer Core

Step 1: Identify Temperatures

Let \( T_{\text{inner - core}} = 5500^\circ\text{C} \) (approximate) and \( T_{\text{outer - core}} = 4500^\circ\text{C} \) (approximate).

Step 2: Calculate Change

Temperature change \( \Delta T = T_{\text{inner - core}} - T_{\text{outer - core}} \)
\( \Delta T = 5500 - 4500 = 1000^\circ\text{C} \)

Temperature Change: Outer Core to Mantle

Step 1: Identify Temperatures

Let \( T_{\text{outer - core}} = 4500^\circ\text{C} \) (approximate) and \( T_{\text{mantle (boundary)}} = 2500^\circ\text{C} \) (approximate).

Step 2: Calculate Change

Temperature change \( \Delta T = T_{\text{outer - core}} - T_{\text{mantle (boundary)}} \)
\( \Delta T = 4500 - 2500 = 2000^\circ\text{C} \)

Notes

These values are approximations. Exact temperatures vary by source, but the method (subtracting layer temperatures) is consistent.

Answer:

s:

• Inner Core to Outer Core: \( \boldsymbol{1000^\circ\text{C}} \) (approximate).
• Outer Core to Mantle: \( \boldsymbol{2000^\circ\text{C}} \) (approximate).