The heat capacity, C, of an object is defined as the amount of heat needed to raise its

Chapter 14, Problem 20P

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QUESTION:

Problem 20P

The heat capacity, C, of an object is defined as the amount of heat needed to raise its temperature by 1 C°. Thus, to raise the temperature by ΔT requires heat Q given by

Q = C ΔT.

(a) Write the heat capacity C in terms of the specific heat, c, of the material. (b) What is the heat capacity of 1.0 kg of water ? (c) Of 25 kg of water?

Questions & Answers

QUESTION:

Problem 20P

The heat capacity, C, of an object is defined as the amount of heat needed to raise its temperature by 1 C°. Thus, to raise the temperature by ΔT requires heat Q given by

Q = C ΔT.

(a) Write the heat capacity C in terms of the specific heat, c, of the material. (b) What is the heat capacity of 1.0 kg of water ? (c) Of 25 kg of water?

ANSWER:

Solution 20P:

Step 1 of 2:-

a)

We know that,

And here it is given as,

.

So, the heat capacity can be expressed in terms of the specific heat capacity as,

--------------(1)

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