Question

In 1 kilogram of pure water, the mass of hydrogen atoms is approximately 112 grams, or 0.112 kilograms. What is the energy equivalent of this mass in joules?

Answer 1

`1.008* 10^(16)` Joules is the energy equivalent of this .

Step-by-step explanation:

Mass of hydrogen atoms in 1 kg of water = 112 g= 0.112 kg

Mass and energy related together and that expression was given by the famous scientist named Albert Einstein:

`E=mc^2`

E = Energy related to mass m

c = Speed of the light

m = 0.112 kg , c =
`3* 10^8 m/s`

`E=0.112 kg* (3* 10^8)^2=1.008* 10^(16) J`

`1.008* 10^(16)` Joules is the energy equivalent of this .

Answer 2

Using Einstein’s famous equation, E = mc^2

Given mass, m = 0.112 kg and knowing c = 3.0 x 10^8 m/s, energy E can be determined

E = (0.112 kg)(3.0 x 10^8 m/s)^2

= 1.008 x 10^16 J

Hope this helps