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
Question 1 Report
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.
Download The App On Google Playstore
Everything you need to excel in your exams
Personalized AI Learning Chat Assistant
200,000+ Exam Questions Across IGCSE, JAMB, WAEC & NECO
Over 3,900 Lesson Notes
Offline Support - Learn Anytime, Anywhere
Green Bridge Timetable
Literature Summaries & Potential Questions
Track Your Performance & Progress
In-depth Explanations for Comprehensive Learning