How does the "Law of Conservation of Matter" explain how you write nuclear equations? The Law of Conservation of Matter states that matter cannot be created or destroyed. This is why the mass numbers and atomic numbers of the products must add up to equal the mass number and atomic number of the parent isotope.

The α decay equation is AZXN→A−4Z−2YN−2+42He2 Z A X N → Z − 2 A − 4 Y N − 2 + 2 4 He 2 . Nuclear decay releases an amount of energy E related to the mass destroyed ∆m by E = (∆m)c2. There are three forms of beta decay. The β− decay equation is AZXN→AZ+1YN−1+β−+¯νe Z A X N → Z + 1 A Y N − 1 + β − + ν ¯ e .

N0: is the initial number of radionuclides at t = 0. The activity A(t): It's the number of nucleus disintegrate in one second, it decreases exponentially with time, and It is defined as the radioactivity of the sample. A(t) = - dN(t)/dt A(t) = - d(N0.

To calculate the remaining amount of an element after decay, also known as half-life decay, use the equation N = N 0 ( 1 2 ) n where N is the amount of the element that remains, is the initial amount of the element, and n is half lives that have elapsed.

Answer and Explanation: The alpha decay of radon-198 yields polonium-194. The atomic number of radon is reduced by 2 protons so it changes from 86 to 84.

Radon-222 itself alpha decays to polonium-218 with a half-life of approximately 3.82 days, making it the most stable isotope of radon. Its final decay product is stable lead-206.

Suppose N is the size of a population of radioactive atoms at a given time t, and dN is the amount by which the population decreases in time dt; then the rate of change is given by the equation dN/dt = −λN, where λ is the decay constant.