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Misha Larkins [42]
3 years ago
6

How many coulombs of positive charge (in units of 107 C) are there 1.53 kg of plutonium, given its atomic mass is 244 and that e

ach plutonium atom has 94 protons? 1 atomic mass unit = 1.66*10-27 kg Enter a number with two digits behind the decimal point.
Physics
1 answer:
masha68 [24]3 years ago
7 0

Answer:

The value is   q =  5.72 *10^7 \  C

Explanation:

From the question we are told that

  the mass is  m  =  1.53 \ kg

      The  atomic mass is  u  =  244 g/mol =  0.244 kg/mol

      The number of protons on each atom is N  =  94 \  protons

       The mass of one atomic mass unit is M  = 1.66 *10^{-27} \  kg

Generally the number of atoms present is  

       k  =  \frac{m *  N_a }{u}

Here  N_a is the Avogadro constant  with value N_a  =  6.023  *10^{23} \  atoms /mol

=>    k  =  \frac{1.53 * 6.023*10^{23}}{ 0.244}

=>   k  =  3.8 *10^{24} \  atoms

The coulombs of positive charge on the plutonium is mathematically represented as

     q =  k *  N  *  e

Here e is the charge on a proton with value e =  1.60 *10^{-19}\  C

    q = 3.8 *10^{24} *  94 *  1.60*10^{-19}

           q =  5.72 *10^7 \  C

       

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