   Chapter 10, Problem 33P

Chapter
Section
Textbook Problem

(a) An ideal gas occupies a volume of 1.0 cm3 at 20.°C and atmospheric pressure. Determine the number of molecules of gas in the container, (b) If the pressure of the 1.0-cm3 volume is reduced to 1.0 × 10−11 Pa (an extremely good vacuum) while the temperature remains constant, how many moles of gas remain in the container?

(a)

To determine
The number of molecules of gas.

Explanation

Given info: The temperature is T=20οC . The volume is V=1.0cm3 . The pressure is 1.0 atm.

From Ideal gas equation, the number of moles of gas is,

n=PVRT (I)

• R is the gas constant.

The number of molecules is,

N=nNA (II)

• NA is the Avogadro number

From Equations (I) and (II),

N=NAPVRT

Substitute 6.02×1023 for NA , 20οC for T, 1.0 atm for P, 8.31Jmol-1K-1 for R and 1.0cm3 for V in the above equation to get N.

N=(6.02×1023)(1

(b)

To determine
The number of moles of gas.

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