The question is incomplete, here is the complete question:
A nuclear fisston reaction has mass difference between the products and the reactants of 3.86 g. Calculate the amount of energy released by the reaction.
A) 1.16 * 10^6 * J
B) 2.59 * 10^9
C) 3.47 * 10^ 14 * J
D) 4.82 * 10^17 J
Answer: The amount of energy released by the reaction is
![3.47* 10^(14)J](https://img.qammunity.org/2021/formulas/chemistry/high-school/h2yvwtrmtl23oy7lb3otylme463vxc68ib.png)
Step-by-step explanation:
To calculate the energy released, we use Einstein equation, which is:
![E=\Delta mc^2](https://img.qammunity.org/2021/formulas/physics/college/vpn00x28wfvwi0owdjobw715zjluy1clv8.png)
where,
= mass defect = 3.86 g = 0.00386 kg (Conversion factor: 1 kg = 1000 g)
c = speed of light =
![3* 10^8m/s](https://img.qammunity.org/2021/formulas/chemistry/college/2h09vvit66qhc2knbgl7td8qtxl4ij8hyi.png)
Putting values in above equation, we get:
![E=(0.00386kg)* (3* 10^8m/s)^2](https://img.qammunity.org/2021/formulas/chemistry/high-school/102oddfda0hjv85afrqprwwh3aypfg3j3p.png)
![E=3.47* 10^(14)J](https://img.qammunity.org/2021/formulas/chemistry/high-school/pt4wk1pvmvdl1rydal9grmrp7zp347lnj9.png)
Hence, the amount of energy released by the reaction is
![3.47* 10^(14)J](https://img.qammunity.org/2021/formulas/chemistry/high-school/h2yvwtrmtl23oy7lb3otylme463vxc68ib.png)