Respuesta :
Answer:
Option C: 4.54 x [tex]10^{11}[/tex] KJ/mol of nuclei
Note: Here in this question option C is not correctly put. It is 4.54 x[tex]10^{11}[/tex] rather than 4.54 x [tex]10^{-123}[/tex].
Explanation:
If mass defect is known, then nuclear binding energy can easily be calculated, here's how:
First step is to convert that mass defect into kg.
Mass defect = 5.0446 amu
Mass defect = 5.0466 x 1.6606 x [tex]10^{-27}[/tex]
Because 1 amu = 1.6606 x [tex]10^{-27}[/tex] Kg.
Mass defect = 8.383 x [tex]10^{-27}[/tex] kg.
Now, we need to find out it's energy equivalent by using following equation:
Using the equation E = mc²:
where c= 3.00 x [tex]10^{8}[/tex] m/s²
E = (8.383 x [tex]10^{-27}[/tex]) x (3.00 x [tex]10^{8}[/tex])²
E = 7.54 x [tex]10^{-10}[/tex] J this energy is in Joules but nuclear binding energy is usually expressed in KJ/mol of nuclei. Let's convert it:
(7.54 x [tex]10^{-10}[/tex] Joule/nucleus)x(1 kJ/1000 Joule)x(6.022 x [tex]10^{23}[/tex] nuclei/mol) =
4.54 x [tex]10^{11}[/tex] kJ/mol of nuclei .
E = 4.54 x [tex]10^{11}[/tex] kJ/mol of nuclei . So, this is the nuclear binding energy of that atom, which is option C.
Note: Here in this question option C is not correctly put. It is 4.54 x[tex]10^{11}[/tex] rather than 4.54 x [tex]10^{-123}[/tex]
Answer:
There is no answer that meets the final value of energy.
Maybe C. And you mistakenly put the 3 at the end.
Explanation:
Albert Einstein's equation of spatial relativity is the well-known E = mc2, which means that the energy of a body at rest (E) is equal to its mass (m) multiplied by the speed of light (c) at square. Einstein argued that the mass of a body is a measure of its energy content.
Now, if we know the mass of an atom, it is possible to find its energy.
- m = (5.0446 * 10) ∧-29 kg
- c = (3.00 * 10) ∧8 m / s
- E = 5.0446 * 10∧-29 kg * ((3.00x10∧8 m / s) ∧2)
E = 4.54 x10∧-12 k * m∧2 * s∧2
- Knowing that kg * m∧2 * s∧2 is the same as Joules then:
E = 4.54 x10∧-12 J
