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## Homework Statement

The temperature of an ideal gas is 0

^{0}C and the pressure is 1[atm]. imagine every molecule is enclosed in a cube, what's it's side length?

## Homework Equations

PV=nRT

Avogadro's number: 6.023E23

## The Attempt at a Solution

I assume volume of i liter:

$$1[atm]\cdot 1[liter]=n\cdot 0.08208\cdot 273\rightarrow n=0.0446[mole]$$

Molecules per 1 liter:

$$0.0446\cdot 6.023\cdot 10^{23}=2.687\cdot 10^{22}$$

How many molecules are on one side?

$$\sqrt[3]{2.687\cdot 10^{22}}=29951774$$

The length of a side:

$$\frac{10[cm]}{2995177}=3.34\cdot 10^{-7}[cm]$$

The answer in the book: 3E-7[cm]