A nuclear fisston reaction has mass difference between the products and the reactants of 3,86 . Calculate the amount of energy released by the reaction . A) 1.16 * 10 ^ 6 * J B) 2.59 * 10 ^ 9 3.47 * 10 ^ 14 * j D 4.82*10^ 17 )

Respuesta :

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 [tex]3.47\times 10^{14}J[/tex]

Explanation:

To calculate the energy released, we use Einstein equation, which is:

[tex]E=\Delta mc^2[/tex]

where,

[tex]\Delta m[/tex] = mass defect = 3.86 g = 0.00386 kg    (Conversion factor: 1 kg = 1000 g)

c = speed of light = [tex]3\times 10^8m/s[/tex]

Putting values in above equation, we get:

[tex]E=(0.00386kg)\times (3\times 10^8m/s)^2[/tex]

[tex]E=3.47\times 10^{14}J[/tex]

Hence, the amount of energy released by the reaction is [tex]3.47\times 10^{14}J[/tex]