Question

Assuming 100% conversion efficiency, what is the equivalent energy in joules of 18 terra-amu?

Answer 1

Answer Joule

Solution :

1 amu = times the mass of one C-12 atom

Now, atomic mass of 1 mole C-12 atom is 12 gm
And 1 mole C-12 atom consist Avogadro's numbers of atom i.e

Therefore , numbers of C-12 atom having mass = 12 gm
   1 C-12 atom having atomic mass =   gm

gm = Kg
= Kg
Now, 1 amu = atomic mass of 1 C-12 atom
= Kg
= Kg
1 terra amu =   Kg
=    Kg
Now, According to Einstein's mass energy equivalence , where = Equivalence energy
m = mass of the atom
c = speed of light in vaccum
Here, Kg

  

Putting this ,

  



Therefore the equivalent energy is   Joule (Here no loss of energy ,As 100% efficiency)