The total mass of the oceans [hypertextbook.com] is about 1.4*10^21 kg. The total mass of the atmosphere [hypertextbook.com] is about 5*10^18 kg. That means the oceans weigh about 300 times as much as the atmosphere.
The heat capacity of water [npl.co.uk] is about 4000 J * kg ^ -1 * K ^ -1. The heat capacity of air [engineeringtoolbox.com] is about 1 kJ * kg ^ -1 * K ^ -1, or about 1000 J * kg ^ -1 * K ^ -1.
So since there's 300 times as much water as there is air, and the heat capacity of water is 4 times larger, heating up the atmosphere by 1200 degree Celsius would take the same amount of energy as heating up the oceans by 1 degree Celsius. This may not prove or disprove your point, I just started thinking about numbers when you said "raising the temperature of a body of water by a few degrees".
The heat capacity of water [npl.co.uk] is about 4000 J * kg ^ -1 * K ^ -1. The heat capacity of air [engineeringtoolbox.com] is about 1 kJ * kg ^ -1 * K ^ -1, or about 1000 J * kg ^ -1 * K ^ -1.
So since there's 300 times as much water as there is air, and the heat capacity of water is 4 times larger, heating up the atmosphere by 1200 degree Celsius would take the same amount of energy as heating up the oceans by 1 degree Celsius. This may not prove or disprove your point, I just started thinking about numbers when you said "raising the temperature of a body of water by a few degrees".
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