How much mass is lost through radioactive decay if 1.8 × 1015 J are released?A.0.09 kgB.0.002 kgC.0.02 kgD.0.06 kg
Question
How much mass is lost through radioactive decay if 1.8 × 1015 J are released?A.0.09 kgB.0.002 kgC.0.02 kgD.0.06 kg
Solution
To solve this problem, we need to use Einstein's mass-energy equivalence principle, which states that E=mc^2, where E is energy, m is mass, and c is the speed of light.
Given that E = 1.8 × 10^15 J and c = 3 × 10^8 m/s, we can rearrange the equation to solve for m (mass):
m = E/c^2
Substituting the given values:
m = (1.8 × 10^15 J) / (3 × 10^8 m/s)^2
m = (1.8 × 10^15 J) / (9 × 10^16 m^2/s^2)
m = 0.02 kg
So, the answer is C. 0.02 kg.
Similar Questions
What is the mass in kg of 4.02 x 102 mol K2Cr2O7?Question 4Select one:a.1.18 x 105 kgb.1.18 x 102 kgc.1.37 x 10-3 kgd.1.37 x 10-6 kge.1.18 kg
The mass defect in a particular nuclear reaction is 0.3 grams. The amount of energy liberated in kilowatt hours is:
Suppose that there was 20 grams of radioactive Carbon in a fossil. After 3 half-lives, approximately how much would still be radioactive? a40 g b20 g c10 g d5 g e2.5 g
In a nuclear weapon, approximately 0.073% of the mass of a material is converted into energy. If there are 3 kgs of fissionable material in a nuclear weapon, how much energy is released? Use MJ (mega joules) as your unit
radioactive isotope decays with a rate proportional to the original amountof material present. If originally there is 50mg of the material present and aftertwo hours it has lost 10% of its mass, determine the half-life, the time at which itis half its original mass.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.