Question #339122

determine both the mass and the charge of a block of material consisting of 3 x 10 ^27 protons,3 x10^37 neutrons, and 3.1 x 10^27 electrons


1
Expert's answer
2022-05-10T13:21:19-0400

The mass:

m=Npmm+Nnmn+Neme=310271.671027+310371.671027+3.110279.11031=5.011010kgm=N_pm_m+N_nm_n+N_em_e\\ =3*10^{27}*1.67*10^{-27}+3*10^{37}*1.67*10^{-27}\\ +3.1*10^{27}*9.1*10^{-31}=5.01*10^{10}\:\rm kg

The caharge:

q=Npqm+Neqe=310271.610193.110271.61019=1.6107Cq=N_pq_m+N_eq_e\\ =3*10^{27}*1.6*10^{-19} -3.1*10^{27}*1.6*10^{-19}\\ =-1.6*10^{7}\:\rm C


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