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The concentration of particles (assume neutral hydrogen atoms) in interstellar gas is 1.0 particle/cm3, and the average temperature is about 20 K .
1. What is the pressure of the interstellar gas? (please give units)
2. How does it compare to the best vacuum that can be achieved on Earth (10−15atm)?
(Muliple Choice - choose A, B or C)
A. This is much greater than the minimum value for the best vacuum.
B. This is much smaller than the minimum value for the best vacuum.
C. This is equal to the minimum value for the best vacuum.

Answer :

The pressure of the interstellar gas is 2.7*[tex]10^{-12}[/tex] atm by using ideal gas equation.

This is much smaller than the minimum value for the best vacuum.

Ideal gas equation,

PV = nRT----------(1)

Given,

V = [tex]10^{-6}[/tex] m3

n = 1/NA ; NA = avegadro number = 6.022*[tex]10^{24}[/tex]

n = 1.66*[tex]10^{-24}[/tex]

R = 8.314 J/K/mole

T = 20K

putting in (1), we get

P = 1.66*[tex]10^{-24}[/tex]*8.314*20 /[tex]10^{-6}[/tex]

P = 2.76*[tex]10^{-6}[/tex] pascal                                         [1 atm = 101325 Pa]

P = 2.76*[tex]10^{-6}[/tex]/101325 atm

P = 2.7*[tex]10^{-12}[/tex] atm

hence, the correct option is B.

To know more about ideal gas equation here

https://brainly.com/question/27870704

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