Final answer:
The energy resulting from the conversion of a particle with mass 9.1×10^-31 kg is calculated using the formula E=mc^2 and is 8.19×10^−14 J. Therefore, the correct answer is 8.19×10^−14 J.
Step-by-step explanation:
The amount of energy resulting from the complete conversion of a particle with mass to energy can be calculated using Einstein's famous equation E=mc^2, where E is energy, m is mass, and c is the speed of light.
Using the given mass of the particle, 9.1×10^−31 kg, and the speed of light, 3×10^8 m/s, the energy (E) can be calculated as follows:
E = 9.1×10^−31 kg × (3×10^8 m/s)^2
E = 9.1×10^−31 kg × 9×10^16 m^2/s^2
E = 8.19×10^−14 J
Therefore, the correct answer is B: 8.19×10^−14 J.