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Chapter 3: Q25E (page 611)

In a gas at standard conditions, what is the length of the side of a cube that contains a number of molecules equal to the population of the earth (about7脳109people)?

Short Answer

Expert verified

6.39脳10-6m is the length of the side of the cube.

Step by step solution

01

Calculation of volume

Given data:

T=273K,P=1.01脳105Pa,N=7脳109

Putting the equation;

V=N脳K脳TP=7脳109脳1.381脳10-23脳2731.01脳105V=2.61脳10-16m3

02

Calculation of length

Now the length is

L3=VL=V3=2.61脳10-163=6.39脳10-6m

6.39脳10-6mis the length of the side of the cube.

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