The heat of volcanoes and hot springs comes from trace amounts of radioactive minerals found in the Earth's interior. Why isn't the same rock at the Earth's surface warm?

From Britannica Online:

Hot springs and geysers also are manifestations of volcanic activity. They result from the interaction of groundwater with magma or with solidified but still-hot igneous rocks at shallow depths.

A microwave oven has a power requirement of 1248 W. A frozen dinner requires 4.1 min to heat on full power. How much electrical energy (in kWh) is used?

The heat of volcanoes and hot springs indeed originates from the Earth's interior, specifically from trace amounts of radioactive minerals. However, the same rock at the Earth's surface does not remain warm primarily due to a process called heat conduction.

Heat conduction is the transfer of heat energy through a solid material, such as rock. It occurs when there is a temperature difference between two regions of the material. In the Earth's interior, where radioactive minerals are present, there is a significant amount of heat generated due to the decay of these radioactive elements. This heat is then conducted through the surrounding rocks.

However, as we move towards the Earth's surface, the heat conductivity decreases. The top layer of the Earth, known as the crust, consists of various types of rocks, but it is typically cooled by the atmosphere. The outermost layer of the Earth's crust, called the lithosphere, is comprised of multiple tectonic plates that are in contact with the atmosphere. These tectonic plates act as a barrier, preventing the efficient transfer of heat towards the surface.

Additionally, the Earth's crust is relatively thin compared to the entire planet, ranging from approximately 5 to 70 kilometers in thickness. This limited thickness restricts the extensive transfer of heat from the deeper, warmer regions of the Earth's interior to the surface.

Furthermore, natural processes such as weathering, erosion, and the circulation of water and air help to dissipate the heat that manages to reach the surface. These external influences facilitate the regulation of temperatures and prevent the accumulation of excessive heat in the Earth's outermost layers.

In summary, while heat from radioactive minerals in the Earth's interior can generate intense heat in the depths, the heat conductivity of the rocks decreases as we move towards the surface. This, coupled with the thinness of the Earth's crust and various natural processes, prevents the same rocks at the Earth's surface from remaining warm.