High School

He

4

+A

u

197



→A

u

197



+He

4

>α-Particle α-particle Goldshow how to calculate the q value for this nuclear reaction.

Answer :

The q value for this nuclear reaction is zero, indicating no energy release or absorption.

The q value for this nuclear reaction can be calculated by subtracting the sum of the masses of the reactants from the sum of the masses of the products and converting it to energy using Einstein's mass-energy equivalence principle.

In this nuclear reaction, an alpha particle (He⁴) collides with Au¹⁹⁷ (gold) and produces Au¹⁹⁷ and another alpha particle.

To calculate the q value, we need to find the mass difference between the reactants and the products. The q value represents the energy released or absorbed during the reaction.

The reaction equation shows that the mass of the reactants (He⁴ + Au^197) is equal to the mass of the products (Au¹⁹⁷ + He⁴). Therefore, the mass difference is zero.

According to Einstein's mass-energy equivalence principle, E=mc^2, where E is the energy, m is the mass, and c is the speed of light.

Since the mass difference is zero, it means no energy is released or absorbed during this reaction. Hence, the q value is zero.

Calculations:

Mass of He⁴ = 4 atomic mass units (amu)

Mass of Au¹⁹⁷ = 197 atomic mass units (amu)

q value = (Mass of products) - (Mass of reactants)

= (197 amu + 4 amu) - (197 amu + 4 amu)

= 201 amu - 201 amu

= 0 amu

Therefore, the q value for this nuclear reaction is zero, indicating no energy release or absorption.

To learn more about nuclear reaction, here

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