As mentioned on Section 1.1 the seasonal ice loss in the...

As mentioned on Section 1.1 the seasonal ice loss in the Arctic is $16,400 \mathrm{~km}^3$, if all the Arctic ice is lost then this energy buffer no longer exists. More precisely, the energy used in melting the ice must go somewhere else and heat it up. Assume it goes to heat up the atmosphere, estimate how much it will increase in temperature. IIint: See Exercise 1.16.

Key Concepts

Mass-Volume Conversion

Mass-volume conversion involves using the density of a substance to convert between its volume and mass. This is essential when an ice volume is given, as converting to mass allows for the proper calculation of energy using latent heat values, which are typically given per unit mass.

Specific Heat Capacity

Specific heat capacity is the amount of energy required to raise the temperature of one unit mass of a substance by one degree Celsius. In this problem, it is used to determine how much the temperature of the atmosphere will increase when it absorbs the energy that was previously used to melt the ice.

Energy Conservation

This principle states that energy cannot be created or destroyed but can only be transformed from one form to another. In the context of the problem, the energy that was previously used to melt the ice is now available to increase the atmospheric thermal energy, leading to a temperature rise. Understanding energy conservation is key to linking the melting process to changes in atmospheric energy content.

Latent Heat of Fusion

Latent heat of fusion is the amount of energy required to change a substance from a solid to a liquid at its melting point without changing its temperature. In applications like these, it is used to calculate the total energy absorbed in melting ice, which is then available to be converted for heating purposes if the ice is no longer present.

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