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

Step-by-step explanation:

It is given that,

Volume of a neutron,
`V=1.4* 10^(44)\ m^3`

Mass of the neutron star,
`m=1.675* 10^(24)\ g`

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

`d=(m)/(V)`

`d=(1.675* 10^(24))/(1.4* 10^(44))`

`d=1.19* 10^(-20)\ g/cm^3`

If the volume of the neutron,
`V'=1\ cm^3=10^(-6)\ m^3`

So,
`m'=d* V'`

`m'=1.19* 10^(-20)* 10^(-6)`

`m'=1.19* 10^(-26)\ g`

`m'=1.19* 10^(-29)\ kg`

Hence, this is the required solution.