Question

HELP...
3.00 amu = _____ Mev.

3.22 x 10-3
2.79 x 103
3.10 x 102

Answer 1

2.79x103

Step-by-step explanation:

Answer 2

The correct answer is:

`2.79 \cdot 10^3 MeV`
Let's see why.

1 amu corresponds to the mass of the proton, which is:

`m_p = 1.66 \cdot 10^(-27) kg`
if we convert this into energy, using Einstein equivalence between mass and energy, we find:

`E=mc^2 = (1.66 \cdot 10^(-27) kg)(3\cdot 10^8 m/s)^2 = 1.49 \cdot 10^(-10) J`
Now we can convert it into electronvolts:

`E= (1.49 \cdot 10^(-10)kg)/(1.6 \cdot 10^(-19) J/eV) =9.34 \cdot 10^9 eV = 934 MeV`

So, 1 amu = 934 MeV. Therefore, 3 amu corresponds to 3 times this value:

`3 amu = 3 \cdot 934 MeV \sim 2790 MeV = 2.79 \cdot 10^3 MeV`