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7. when ( ^{218}\text{po} ) emits a beta particle, it transforms into a…

Question

  1. when ( ^{218}\text{po} ) emits a beta particle, it transforms into a new element.

a. write out the nuclear equation:

Explanation:

Step1: Recall Beta Decay Rules

In beta (β⁻) decay, a neutron in the nucleus converts to a proton, emitting an electron ($\beta^-$ or $_{-1}^0e$) and an antineutrino ($\bar{
u}_e$). The atomic number (Z) increases by 1, mass number (A) remains the same. Polonium - 218 has atomic number Z = 84, mass number A = 218.

Step2: Determine the Daughter Nucleus

After beta decay, new Z = 84 + 1 = 85 (Astatine, At), A remains 218.

Step3: Write the Nuclear Equation

The nuclear equation for beta decay of $_{84}^{218}\text{Po}$ is:

$$_{84}^{218}\text{Po} ightarrow _{85}^{218}\text{At} + _{-1}^0e + \bar{ u}_e$$

Answer:

$\boldsymbol{_{84}^{218}\text{Po}
ightarrow _{85}^{218}\text{At} + _{-1}^0e + \bar{
u}_e}$