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many biological systems it is of more interest to know how

Chapter 16, Problem 73GP

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QUESTION:

Problem 73GP

many biological systems it is of more interest to know how much heat is required to raise the temperature of a given volume of material rather than a given mass of material. Calculate the heat needed to raise the temperature of one cubic meter of (a) air and (b) water by one degree Ceisius. Compare with the corresponding specific heats {for a given mass) listed in Table 16-2.

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QUESTION:

Problem 73GP

many biological systems it is of more interest to know how much heat is required to raise the temperature of a given volume of material rather than a given mass of material. Calculate the heat needed to raise the temperature of one cubic meter of (a) air and (b) water by one degree Ceisius. Compare with the corresponding specific heats {for a given mass) listed in Table 16-2.

ANSWER:

Step 1 of 4

We wish to calculate the heat necessary to raise the temperature of a fixed volume  of air and water by one Celsius degree.

A body's heat capacity is defined as the ratio of the amount of heat energy transferred to an object to the resulting increase in temperature of the body.

We have given

where  is volume of the material,  is density of air,  is specific heat of air,  is density of water,  is specific heat of water and  is temperature change.

 

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