# A gas at T = 300 K and P = 1 bar is contained in a rigid, rectangular vessel that is 2 meters long, 1 meter wide, and 1 meter deep. How much force does the gas exert on the walls of the container?

### Fundamentals of Chemical Engineeri...

1st Edition
Kevin D. Dahm + 1 other
Publisher: Cengage Learning
ISBN: 9781111580704

### Fundamentals of Chemical Engineeri...

1st Edition
Kevin D. Dahm + 1 other
Publisher: Cengage Learning
ISBN: 9781111580704

#### Solutions

Chapter
Section
Chapter 1.7, Problem 17P
Textbook Problem
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## A gas at T = 300 K and P = 1 bar is contained in a rigid, rectangular vessel that is 2 meters long, 1 meter wide, and 1 meter deep. How much force does the gas exert on the walls of the container?

Expert Solution
Interpretation Introduction

Interpretation:

The force exerted by the gas on the container walls has to be determined.

Concept Introduction:

Area (A) of the rectangular vessel:

A=(2wh)+(2wl)+(2hl)

Here, width of rectangular vessel is w, depth is h, and length is l.

The force (F) exerted by the gas on the container walls.

F=PA

Here, pressure is P.

### Explanation of Solution

Write the expression for the area (A) of the rectangular vessel.

A=(2wh)+(2wl)+(2hl)Â Â Â Â Â Â Â Â (1)

Here, width of rectangular vessel is w, depth is h, and length is l.

Calculate the force (F) exerted by the gas on the container walls.

F=PAÂ Â Â Â Â Â Â Â (2)

Here, pressure is P.

Given information:

Temperature of gas is T=300Â K.

Pressure of gas is P=1 bar.

Dimension of rectangular vessel is,

Length =2 meter

Width =1 meter

Height =1 meter

Substitute 1â€‰m for w, 1â€‰m for h, and 2â€‰m for l in equation (1)

A=[2(1â€‰m)(1â€‰m)]+[2(1â€‰m)(2â€‰m)]+[2(1â€‰m)(2â€‰m)]=2â€‰m2+4â€‰m2+4â€‰m</

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