Question

The reaction that will probably power the first commercial fusion reactor is:3 0 H + 2 1 H image from custom entry tool4 2 He + 1 0 nHow much energy would be produced per mole of reaction?Masses of atoms:3 1 H = 3.01605 amu 4 2 He = 4.00260 amu2 1 H = 2.0140 amu 1 0 n = 1.008665 amuThe difference in masses is 0.018785 amuIn scientific notation, what is the energy in kJ/mol?

Answer 1

Answer:

2.8087*10^-12 kJ per mole of reaction (2.8087*10^-12 kJ/mol).

Explanation:

To calculate the energy produced, we need to write a balanced equation for the reaction and determine the change in the masses of the reactants and products. Afterward, we can use the energy equation to determine the energy produced. The balanced equation for the nuclear reaction is shown below:

³₁H + ²₁H ⇒⁴₂He + ¹₀n

The masses of atoms are ³₁H is 3.01605 amu, ²₁H is 2.0140 amu, ⁴₂He is 4.00260 amu, and ¹₀n is 1.008665 amu.

change in mass Δm = (3.01605+2.0140) - (4.00260+1.008665) = 0.0188 amu

Energy produced, E = m*C^2

C is the speed of light = 3*10^8 m/s and 1 amu = 1.66*10^-27 kg

Therefore:

E = 0.0188*1.66*10^-27 * (3*10^8)^2 =  2.8087*10^-12 kJ per mole of reaction.

Therefore, in scientific notation, the energy released is 2.8087*10^-12 kJ/mol