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how much heat would be required to warm Earths ocean by 1.0 degrees C assuming that the volume is 137*10^7 km ^3 and the density of sea water is 1.03 g/cm 3. also assume that the heat capacity of seawater is the same as that of water

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I would convert volume to cc, use density to convert volume in cc to grams. Then
q = mass in grams x specific heat x delta T where delta T is 1 = ??. Post your work if you get stuck.
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