What is the Volume of Air Affected by Heat Released from Cooling Water?

[Rblswimmer456]

Homework Statement

The air temperature above the coastal areas
is profoundly influenced by the large specific
heat of water. One reason is that the heat
released when 1 m³ of water cools by 1◦C will
raise the temperature of an enormously larger
volume of air by 1◦C.
Calculate this volume of air. The specific
heat of air is approximately 1 kJ/kg◦ C and
its density is 1.25 kg/m3. The specific heat of water
is 4.19 kJ/kg◦ C and its density is 1000 kg/m³.
Answer in units of m³

Homework Equations

Q=mc\DeltaT

The Attempt at a Solution

I figured you would set the air and water values equal to one another and solve for volume in place of math, but I realize this isn't correct because you have to incorporate volume, help?

 

[Mapes]

How about finding first the mass of the water, then the mass of the air that can absorb the energy from the water, then the volume of that air?