In a certain region of outer space there are only 100 molecules per `cm^(3)` on an average. The temperature there is about 3 K. What is the average pressure of this very dilute gas.

Explanation

To find the average pressure of a very dilute gas in outer space, we can use the ideal gas law in a modified form suitable for a low-density gas. The formula we will use is:

\[ P = \frac{n k_B T}{V} \]

Where:
- \( P \) = pressure (in Pascals)
- \( n \) = number of molecules per unit volume (in molecules per cubic meter)
- \( k_B \) = Boltzmann's constant (\( 1.38 \times 10^{-23} \, \text{J/K} \))
...