To get an idea of how much thermal energy is contained in...

Name: Problem 48, Chapter 14: Physics: Principles with Applications
Uploaded: 2019-04-28T21:08:51-08:00
Duration: 2 min 20 s
Channel: Averell Hause
Description: To get an idea of how much thermal energy is contained in the world's oceans, estimate the heat liberated when a cube of ocean water, 1 km on each side, is cooled by 1K. (Approximate the ocean water as pure water for this estimate.)

To get an idea of how much thermal energy is contained in the world's oceans, estimate the heat liberated when a cube of ocean water, 1 km on each side, is cooled by 1K. (Approximate the ocean water as pure water for this estimate.)

Key Concepts

Thermal Energy

Thermal energy is the internal energy contained within a substance due to the random motion of its molecules. In thermodynamics, it is often quantified as the product of mass, the specific heat capacity of the substance, and the temperature change, reflecting how energy is stored and transferred within a material.

Specific Heat Capacity

Specific heat capacity is a material-specific property that indicates the amount of energy required to raise the temperature of a unit mass of a substance by one degree Kelvin (or Celsius). It is crucial for calculating heat transfer in processes involving temperature changes and is especially significant for water due to its high value.

Mass Calculation from Volume and Density

This concept involves determining the mass of a substance by multiplying its volume by its density. In many thermal energy calculations, especially for fluids like water, knowing the density allows for the conversion of a given volume into mass, which then forms the basis for energy estimates.

Temperature Change and Energy Transfer

The relationship between a temperature change and the energy transfer that occurs is fundamental in thermodynamics. When a substance experiences a temperature change, the amount of heat energy involved can be estimated by considering the substance’s mass and specific heat capacity, highlighting how small temperature changes can correspond to significant energy amounts.

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