Question

A system consists of electrons and protons only. It contains 150 electrons and has a total charge of +22e. What is the mass of the system? me=9.11×10−31kg, mp=1.673×10−27kg.

Answer 1

Answer:

Mass of system will be $288.605\times 10^{-28}kg$

Explanation:

We have given a system consist 150 electrons

Mass of one electron $m_{e}=9.1\times 10^{-31}kg$

So mass of 150 electron $=150\times 9.1\times 10^{-31}=1365\times 10^{-31}=1.365\times 10^{-28}kg$

Charge on system is +22e

So number of proton = 150 +22 = 172

Mass of one proton $=1.67\times 10^{-27}kg$

So mass of 172 proton $=172\times 1.67\times 10^{-27}=287.24\times 10^{-27}=287.24\times 10^{-28}kg$

So total mass on the system $=287.24\times 10^{-28}+1.365\times 10^{-28}=288.605\times 10^{-28}kg$