When two atoms of ²H are fused to form one atom of ⁴He, the total energy evolved is
3) 83 × 10^-¹²J. What is the total change in mass (in kg) for this reaction? (C = 3.00 × 10⁸m/s)

Question

When two atoms of ²H are fused to form one atom of ⁴He, the total energy evolved is 3)83 × 10^-¹²J. What is the total change in mass (in kg) for this reaction? (C = 3.00 × 10⁸m/s)

Quizplus · Accepted Answer

Using Einstein's famous equation E=mc^2, we can calculate the change in mass:

Δm = ΔE/c^2

First, we need to convert the energy from joules to kilograms:

83 × 10^12 J * (1 kg m^2/s^2 / 1 J) = 8.3 × 10^13 kg m^2/s^2

Now we can calculate the change in mass:

Δm = (8.3 × 10^13 kg m^2/s^2) / (3.00 × 10^8 m/s)^2 = 9.23 × 10^-28 kg

However, the answer choices are given in scientific notation, so we need to convert our answer:

Δm = 9.23 × 10^-28 kg = 4.26 × 10^-1 - 29

Therefore, the correct answer is D.

When Two Atoms of 2H Are Fused to Form One

When Two Atoms of ²H Are Fused to Form One