In a fission process, the decrease in mass is 0.01%. How much energy could be obtained from the fission of 0.1g of the material

Answer Details

The energy that can be obtained from a nuclear fission reaction is given by Einstein's famous equation: E = mc^2, where E is the energy released, m is the decrease in mass, and c is the speed of light. In this question, the decrease in mass is 0.01% of the initial mass. To calculate the decrease in mass, we need to convert the percentage to a decimal: 0.01% = 0.0001. Therefore, the decrease in mass is: 0.0001 x 0.1g = 0.00001g Now we can use Einstein's equation to calculate the energy released: E = (0.00001g) x (299792458 m/s)^2 E = 898755178.736 J This is the total energy that can be obtained from the fission of 0.1g of the material. However, the question asks for the amount of energy that could be obtained from this amount of material, so we need to divide the total energy by the mass: E = 898755178.736 J / 0.1g E = 8.98755178736 x 10^9 J/g Therefore, the answer is 9.0 x 10^9 J.