Suggested languages for you:

Americas

Europe

Q. 5.21

Expert-verified
Found in: Page 163

### An Introduction to Thermal Physics

Book edition 1st
Author(s) Daniel V. Schroeder
Pages 356 pages
ISBN 9780201380279

# Is heat capacity (C) extensive or intensive? What about specific heat (c) ? Explain briefly.

Heat capacity is an extensive property

Specific heat is an intensive property.

See the step by step solution

## Step1: Given Information

Heat Capacity C and

Specific Heat c.

## Step2: Explanation

Explanation

On the basis of physical properties of matter, it can be classified into two parts1. Intensive property: It does not depend on the quantity which means the intensive property does not vary when the mass changes.2. Extensive property: It depends on the quantity of matter which means the extensive property varies when the mass changes.Specific heat capacity is an intensive property. Specific heat capacity is given by

$c=\frac{C}{m}$

Where c is specific heat capacity, C is the heat capacity, m is the mass.

Here both C and m are extensive properties.The ratio of two extensive property is intensive property.This means Heat capacity is an extensive property.The amount of heat capacity is given by${C}_{v}=\frac{dU}{dT}$Where, U is the internal energy and T is the temperature.U is an extensive property and T is an intensive property.The ratio of extensive to intensive results in extensive property.