Question

The neutron has a volume of approximately 1.4 1044 m3 and a mass of 1.675 1024 g. Calculate the density of the neutron in g/m3 . What is the mass of 1.0 cm3 of neutrons in kilograms?

Answer 1

Explanation:

It is given that,

Volume of a neutron, $V=1.4\times 10^{44}\ m^3$

Mass of the neutron star, $m=1.675\times 10^{24}\ g$

We need to find the density of the neutron. Density is given by :

$d=\dfrac{m}{V}$

$d=\dfrac{1.675\times 10^{24}}{1.4\times 10^{44}}$

$d=1.19\times 10^{-20}\ g/cm^3$

If the volume of the neutron, $V'=1\ cm^3=10^{-6}\ m^3$

So, $m'=d\times V'$

$m'=1.19\times 10^{-20}\times 10^{-6}$

$m'=1.19\times 10^{-26}\ g$

$m'=1.19\times 10^{-29}\ kg$

Hence, this is the required solution.