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

Answer:

$n=1.63\times 10^{-35}\ particles$

Explanation:

It is given that,

Pressure in the intergalactic space, $P=3.68\times 10^{-28}\ Pa$

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

$n=\dfrac{PV}{RT}$

$n=\dfrac{3.68\times 10^{-28}\times 10^{-6}}{8.314\times 2.7}$

$n=1.63\times 10^{-35}\ particles$

So, the number of particles in intergalactic space is $1.63\times 10^{-35}\ particles$. Hence, this is the required solution.