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Convert 1 amu to MeV

Solution:

1) Determine mass of 1 amu (in kg):

By definition, the mass of 1 atom of C-12 is 12 amu.

Therefore, the mass of one mole of C-12 atoms is, by definition, 12 g

Avogadro's Number is 6.0221409 x 10²³ mol¯¹

12 g/mol / 6.0221409 x 10²³ mol¯¹ = 1.9926468 x 10¯²³ g (mass of one atom of C-12 in g)

Amy To Kg

(1.9926468 x 10¯²³ g) (1 kg / 1000 g) = 1.9926468 x 10¯²⁶ kg (mass of one atom of C-12 in kg)

1 atomic mass units = 1.66E-27 kilograms. 83.31 atomic mass units = Y kilograms. Assuming Y is the answer, and by criss-cross principle; Y equals 83.31 times 1.66E-27 over 1 (i.e.) Y = 83.31. 1.66E-27 / 1 = 1.382946E-25 kilograms Answer is: 1.382946E-25 kilograms are equivalent to 83.31 atomic mass units. Atomic Mass Unit (u) To Kilograms (kg) Converter Online This is a free online Atomic Mass Unit (u) to Kilograms (kg) conversion calculator. You can convert weight and mass from Atomic Mass Unit (u) to Kilograms (kg) instantly using this tool.

1.9926468 x 10¯²⁶ kg/atom / 12 amu/atom = 1.660539 x 10¯²⁷ kg/amu (this is the mass of 1 amu)

2) Use Einstein's mass-energy equation to determine Joules in one amu:

E = mc²

E = (1.660539 x 10¯²⁷ kg) (2.99792458 x 10⁸ m/s)²

E = 1.49242 x 10¯¹⁰ kg-m²/s² (this is Joules)

3) Convert J to eV, then MeV

1 eV = 1.60217733 x 10¯¹⁹ J

1.49242 x 10¯¹⁰ J / 1.60217733 x 10¯¹⁹ J/eV = 931494893 eV

(931494893 eV) (1 MeV / 10⁶ eV) = 931.494893 MeV Final fantasy for mac.

Often, 931.5 MeV is the value used in problem solving.

4) 931.5 MeV is the energy in one amu. Is it possible to express the mass of one amu using MeV in some way? I'm glad you asked:

E = mc²

931.5 MeV = mc²

m = 931.5 MeV/c²

The use of 931.5 MeV/c² for the mass of 1 u is wide-spread. So much so that the c² is often not written and you must infer its presence by context.

5) To sum up:

1 u = 931.5 MeV (expressed as energy)

Eoscard for mac. 1 u = 931.5 MeV/c² (expressed as mass)

In solving problems, you may see this unit:

931.5 MeV/u-c²

Canon software for mac. read it as 931.5 MeV/c² per 1 u

By the way, if you look around the Internet, you will find values different than the 931.494893 value I calculated. This is because different authors will use values that they have rounded off differently than the ones I used.

For example, I used 1.660539 x 10¯²⁷ kg for the mass of 1 amu. Often, you will see it as 1.66 x 10¯²⁷ kg.

Amu To Kg/kmol

The cumulative effect of these rounding off decisions will be seen in slightly different answers from different authors.