Interstellar space (far from any stars) contains atomic hydrogen (h) with a density of 1 atom/cm3 and at a temperature of about 2.7 k. determine (a) the pressure in interstellar space, (b) root-mean square speed of the atoms and (c) the kinetic energy stored in 1 km3 of space.

Explanation:

Given that,

Number density

Temperature = 2.7 K

(a). We need to calculate the pressure in interstellar space

Using ideal gas equation

The pressure in interstellar space is

(b). We need to calculate the root-mean square speed of the atom

Using formula of rms

Put the value into the formula

The root-mean square speed of the atom is 258.6 m/s.

(c). We need to calculate the  kinetic energy

Average kinetic energy of atom

Where, k = Boltzmann constant

Put the value into the formula

The kinetic energy stored in 1 km³ of space is .

Hence, This is the required solution.

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