Question

Calculate the energy in joules equivalent to the mass of one proton

Answer 1

Let me help you with this question.
Einstein's theory of relativity shows that matter (as mass) and energy can be converted into each other according to the famous equation
E = m c²  .......... (1)
where E is the energy, m is the mass and c is the speed of light.
Since,
Mass of one proton = 1.6726 x 10⁻²⁷ kg
Speed of light = c = 3.0 x 10⁸ m/sec
Put these values in equation (1), to calculate the amount of energy.
E = (1.6726 x 10⁻²⁷) (3.0 x 10⁸)²
E = 1.5 x 10⁻¹⁰ J
Thus, the energy equivalent to the mass of one proton is equal to
1.5 x 10⁻¹⁰ J .
Hopefully it's helpful to you. Thanks.

Answer 2

The energy in joules equivalent to the mass of one proton is, 1.5*10-¹⁰ Joules.

Definition of electron volt:

• Energy gained or lost by an electron when it accelerates from rest through potential difference of one volt in vacuum.
• 1 eV or electron volt = 1.6*10-¹⁹ Joules.

Definition of atomic mass:

• "mass equal to one twelfth or (1/12) the mass of atom of carbon-12." Carbon 12 is an isotope of carbon containing six neutrons and protons.

What is the mass of a proton?

• Proton, stable subatomic particle that has a positive charge equal in magnitude to a unit of electron charge and a rest mass of 1.67262 × 10−27 kg, which is 1,836 times the mass of an electron.

How do you calculate equivalent energy?

• The E = mc2 equation represents the idea that energy and mass are correlated, that any object with mass corresponds to an equivalent amount of energy.
• This equation is Einstein's special theory of relativity in mathematical terms.
• The E = mc2 calculator can solve for E or m.

Given, Mass of proton - 1.6726 x 10-²⁷ kg.

Speed of light - 3*10⁸ m/s²

Energy of one proton can be calculated by the famous equation E = m*c² where E is energy, m is mass and c is speed of light.

Keeping the values in equation-

E = 1.6726*10-²⁷ * (3*10⁸)²

E = 1.5*10-¹⁰ Joules.

Hence, The energy in joules equivalent to the mass of one proton is, 1.5*10-¹⁰ Joules.

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