Answer:
The value is  [tex]q =  5.72 *10^7 \  C[/tex]
Explanation:
From the question we are told that
 the mass is  [tex]m  =  1.53 \ kg[/tex]
   The  atomic mass is  [tex]u  =  244 g/mol =  0.244 kg/mol[/tex]
   The number of protons on each atom is [tex]N  =  94 \  protons[/tex]
    The mass of one atomic mass unit is [tex]M  = 1.66 *10^{-27} \  kg[/tex]
Generally the number of atoms present is Â
    [tex]k  =  \frac{m *  N_a }{u}[/tex]
Here  [tex]N_a[/tex] is the Avogadro constant  with value [tex]N_a  =  6.023  *10^{23} \  atoms /mol[/tex]
=>   [tex]k  =  \frac{1.53 * 6.023*10^{23}}{ 0.244}[/tex]
=>  [tex]k  =  3.8 *10^{24} \  atoms[/tex]
The coulombs of positive charge on the plutonium is mathematically represented as
   [tex]q =  k *  N  *  e[/tex]
Here e is the charge on a proton with value [tex]e = Â 1.60 *10^{-19}\ Â C[/tex]
  [tex]q = 3.8 *10^{24} *  94 *  1.60*10^{-19}[/tex]
      [tex]q =  5.72 *10^7 \  C[/tex]
   Â
