Question

In intergalactic space (i.e., between galaxies), the pressure is about 3.68 x 10^-28 at a temperature of 2.7 K (the temperature of the Cosmic Microwave Background Radiation). To the nearest particle, how many particles per cubic meter is this?

Answer 1

`n=1.63* 10^(-35)\ particles`

Step-by-step explanation:

It is given that,

Pressure in the intergalactic space,
`P=3.68* 10^(-28)\ Pa`

Temperature, T = 2.7 K

Volume,
`V=1\ cm^3=10^(-6)\ m^3`

We need to find the number of particles. The formula for the number of molecules in air is given by :

`PV=nRT`, R is gas constant

`n=(PV)/(RT)`

`n=(3.68* 10^(-28)* 10^(-6))/(8.314* 2.7)`

`n=1.63* 10^(-35)\ particles`

So, the number of particles in intergalactic space is
`1.63* 10^(-35)\ particles`. Hence, this is the required solution.