Question

In a certain region of space there are 5 molecules per cc on an average. The temperature there is 100K. What is the average pressure of this gas?

Solution

Given, number of molecules per cc = 5 = 5

\times 10^{6}

molecules /m³

Pressure of the ideal gas is given by,

P = nKT

Temperature, T = 100 K
Boltzman constant, k = 1.38

\times 10^{- 23}

J/m/K

So, average pressure of the gas is P =

5 \times 10^{6} \times 1.38 \times 10^{- 23} \times 100 = 6.9 \times 10^{- 15} N / m^{2}

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