Answer :

The nuclear equation for the transmutation of radon-222 to polonium-218 is:

²²²₈₆Rn -> ²¹⁸₈₄Po + ⁴₂He

How do I write the nuclear equation?

To successfully write the nuclear equation for the transmutation of radon-222 to polonium-218, we must know the type of decay involved in the reaction. This is shown below:

  • Let the decay be ʸₓA

Now we shall determie ʸₓA

²²²₈₆Rn -> ²¹⁸₈₄Po + ʸₓA

For y

222 = 218 + y

Collect like terms

y = 222 - 218

y = 4

For x

86 = 84 + x

Collect like terms

x = 86 - 84

x = 2

For A

ʸₓA => ⁴₂A => ⁴₂He

Thus, the decay is Alpha decay.

Therefore, the nuclear equation is written as:

²²²₈₆Rn -> ²¹⁸₈₄Po + ⁴₂He

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