Question

In the deep space between galaxies, the density of atoms is as low as 106 atoms/m3, and the temperature is a frigid 3.0 K. What is the pressure?

Answer 1

`4.388*10^-^2^1`

Step-by-step explanation:

Given:

`N/V= 106 atoms/m^3`

`T=3.0K`

we know the values of

`K_(b) =1.38*10^-^2^3 J/K`

`N_(A) =6.02*10^2^3/mol`

Formula:

`PV=NK_(b) T`

rearranging the formula and substituting values

`P=(NK_(b) T)/V`

`P=(106)(1.38*10^-^2^3)(3)`

`P=4.388 *10^-^2^1 Pa`