madisonrendler5211 madisonrendler5211
  • 14-02-2020
  • Chemistry
contestada

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?

Respuesta :

zohazoee
zohazoee zohazoee
  • 15-02-2020

Answer:

[tex]4.388*10^-^2^1[/tex]

Explanation:

Given:

[tex]N/V= 106 atoms/m^3[/tex]

[tex]T=3.0K[/tex]

we know the values of

[tex]K_{b} =1.38*10^-^2^3 J/K[/tex]

[tex]N_{A} =6.02*10^2^3/mol[/tex]

Formula:

[tex]PV=NK_{b} T[/tex]

rearranging the formula and substituting values

[tex]P=(NK_{b} T)/V[/tex]

[tex]P=(106)(1.38*10^-^2^3)(3)[/tex]

[tex]P=4.388 *10^-^2^1 Pa[/tex]

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