The rate of thermal expansion for 33 permil seawater is 0.00019/C . Use this factor and the volume of the cuboid (problem 3) to determine the added volume caused by a 1 C ocean warming in cubic meters.

2.54E14m^3

Explanation:

a) The rate of thermal expansion for 33 permil seawater is 0.00019/C,

Volume of cuboid = 1.335E18 m3

Therefore, the added volume caused by a 1oC ocean warming is = volume * 0.00019/C * 1 C = 1.335E18 * 0.00019 = 2.54E14m^3

2.54E14m3

Explanation:

Thermal expansion is the ability of matter to change its shape, area, and volume in response to a change in temperature.

Temperature is a monotonic function of the average molecular kinetic energy of a substance. When a substance is heated, the kinetic energy of its molecules increases. Therefore, the molecules begin vibrating or moving more and usually maintain a greater average separation. Materials which contract with increasing temperature are unusual and the effect is limited in size, and only occurs within limited temperature ranges. Liquids in general can expand on heating. The thermal expansion of liquids is usually higher than in solids due to the reason of weak intermolecular forces present in liquids.

Therefore,

The rate of thermal expansion for 33 permil seawater is 0.00019/C,

Volume of cuboid = 1.335E18 m3

Therefore, the added volume caused by a 1oC ocean warming is = volume × 0.00019/C × 1 C = 1.335E18 × 0.00019 = 2.54E14m3

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