How many protons will be needed to fill a spherical vessel of volume `10cm^(3)` ? Also calculate the mass of these protons.

Explanation

Volume of proton`=(4)/(3)pir^(3)=(4)/(3)xx3.14xx(1.2xx10^(-13))^(3)cm^(3)`
Number of protons`=("Volume of a sphere")/("Volume of a proton")`
`=(10)/((4)/(3)xx3.14xx(1.2xx10^(-13))^(3))=1.382xx10^(39)`
Mass of protons=No. of protons`xx`Mass of a proton
`=(1.382xx10^(39))xx(1.6725xx10^(-24))g=2.311xx10^(15)g`