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# Show that ? ? 3?, by calculating the change in volume ?V ISBN: 9781938168000 42

## Solution for problem 21PE Chapter 13

College Physics | 1st Edition

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Problem 21PE

Show that β ≈ 3α, by calculating the change in volume ΔV of a cube with sides of length L. 13.3 The Ideal Gas Law

Step-by-Step Solution:
Step 1 of 3

Solution 21PE

1

The change in length is denoted by , the change in temperature is denoted by and the coefficient of linear expansion is denoted by , that varies slightly with temperature.

2

Assume Vo as the initial volume of the cube and Lo as its initial length so,

Vo=Lo3

V=Vo+ = (Lo + 3

Substitute for V = (Lo + o )3

= Lo3 (1 + 3

3

Since is small, binomial expansion is applied as,

V = Lo3 (1 + 3 ...

Step 2 of 3

Step 3 of 3

##### ISBN: 9781938168000

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