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

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In summary, the large specific heat of water greatly affects the air temperature above coastal areas. This is due to the fact that the heat released from cooling 1 m3 of water by 1◦C can raise the temperature of a much larger volume of air by the same amount. To calculate this volume of air, you can use the equation Q=mcΔT and solve for volume. First, find the mass of water and then the mass of air that can absorb the energy from the water. Then, calculate the volume of that air. The answer should be in units of m3.
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Rblswimmer456
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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[tex]\Delta[/tex]T

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?
 
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  • #2
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?
 

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

How does heat affect the volume of an object?

Heat causes the molecules in an object to vibrate faster, which increases their kinetic energy and pushes them further apart. This expansion of molecules results in an increase in the volume of the object.

Is there a direct relationship between heat and volume?

Yes, there is a direct relationship between heat and volume. As the temperature of an object increases, its volume also increases.

Does the material of an object impact how it responds to heat in terms of volume?

Yes, different materials have different thermal expansion coefficients, which determine how much they will expand when heated. Some materials, such as metals, expand more with heat compared to others like glass or plastic.

Can heat cause the volume of an object to decrease?

Yes, under certain circumstances, heat may cause the volume of an object to decrease. For example, when an object is heated and then quickly cooled, it may contract due to the rapid decrease in temperature.

How does the change in volume due to heat affect the density of an object?

The change in volume due to heat can significantly impact the density of an object. As the volume increases, the density decreases and vice versa. This is because the mass of the object remains constant, but the volume changes, resulting in a different density value.

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