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Chapter 3: Q16E (page 610)

Three moles of an ideal gas are in a rigid cubical box with sides of length 0.300 m. (a) What is the force that the gas exerts on each of the six sides of the box when the gas temperature is 20.0掳C? (b) What is the force when the temperature of the gas is increased to 100.0掳C?

Short Answer

Expert verified

  1. Force acting is2.43脳104Nat each side.

  2. 3.101脳104Nof force when the temperature of the gas is increased at100掳C

Step by step solution

01

Step: 1

n=3mol,L=0.3m,T=293K,V=0.027m3

Force acting on each side

F=P.A

A is the area of each side and P is pressure applied by the gas

PV=nRTP=nRTV=3脳8.315脳2930.027=27.069脳104

Force (F) by using Pressure (P)

F=P脳A=27.069脳104脳0.3脳0.3=2.43脳104N

Force acting is2.43脳104Nat each side.

02

Step: 2

The ideal gas equation thus the relation between P and T

P鈭�T

Therefore,

F鈭�T

Temperature increases force increases, the temperature increases to 373K

The force (F)

F1F2=T1T2F2=F1脳T2T1=2.43脳104脳373293=3.101脳104N

3.101脳104Nof force when the temperature of the gas is increased at100掳C.

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