   # Boyle’s law can be represented graphically in several ways. Which of the following plots does not correctly represent Boyle’s law (assuming constant T and n )? Explain. ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243

#### Solutions

Chapter
Section ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243
Chapter 8, Problem 23Q
Textbook Problem
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## Boyle’s law can be represented graphically in several ways. Which of the following plots does not correctly represent Boyle’s law (assuming constant T and n)? Explain. Interpretation Introduction

Interpretation:  From the given plots, a plot that doesn’t correctly represent Boyle’s law should be identified.

Concept introduction:

Boyle’s law can defined as,

At constant temperature and number of moles, volume of a gaseous container is inversely

proportional to the pressure excreted on the container.

Mathematically,

P1V

Or

PV=K

Where,

P = pressure in atmospheres

V= volumes in liters

K= a constant for a particular gas at given temperature

By comparing two systems at different conditions

P1V1=P2V2

### Explanation of Solution

The plot that doesn’t correctly represent Boyle’s law

According to Boyle’s law, at constant temperature and number of moles, volume of a gaseous container is inversely proportional to the pressure excreted on the container.

That is ‘P’ and ‘V’ is inversely proportional.

That is,

P1V , by changing the proportionality sign

PV=K

By rearranging the equation,  P=k(1/V)

This is in the form of the straight line equation y=mx+b

Here in the given plot x - axis 1/V and y – axis is pressure. On accordance with Boyle’s law The P versus 1/V plot should be a linear with positive slope and y-intercept of zero.

Here the given plot P versus 1/V is a plot with negative slope. A negative slope implies that y –axis always decreases when x-axis increases and y- axis always increases when x-axis decreases.

So, the given plot P versus 1/V doesn’t correctly represent Boyle’s law.

The plots that correctly represent Boyle’s law

a)

b)

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