What mass of aluminum has a total nuclear charge of 2.9 c?

Complete Question

What mass of aluminum has a total nuclear charge of 2.9 C?

Aluminum has atomic number 13. Suppose the aluminum is all of the isotope with 14 neutrons.

The  mass is  

Explanation:

From the question we are told that

   The  total nuclear charge is  

   The  atomic number is  

    The number of neutron is  

Generally the number of positive charge is mathematically represented as

here p is the charge on a single proton with value  

So      

=>    

Now since 1 atom contains 13 proton

The  number of atoms present is

Then the number of moles present is mathematically represented as

Where  N_k is the Boltzmann constant with value  

So

Generally one mole of aluminum is equal to 27 g

So

 The total  mass of aluminum  is

=>        

=>        

answer: 2×10^-2kg

explanation: density= mass per volume

vol=mass/density

converting to s.i units we have;

3÷1000kg = 0.003

1.5÷100m = 0.15

0.003/0.15 = 0.02kg