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<u>Answer:</u> The nuclear equations for the given process is written below.
<u>Explanation:</u>
The chemical equation for the bombardment of neutron to U-238 isotope follows:

Beta decay is defined as the process in which neutrons get converted into an electron and a proton. The released electron is known as the beta particle.

The chemical equation for the first beta decay process of
follows:

The chemical equation for the second beta decay process of
follows:

Hence, the nuclear equations for the given process is written above.
Answer: There is 842.54 grams of sodium carbonate are produced when 5.3 moles of sodium phosphate reacts with aluminum carbonate.
Explanation:
Chemical equation depicting reaction between sodium phosphate and aluminum carbonate is as follows.

As this equation contains same number of atoms on both reactant and product side. So, this equation is a balanced equation.
According to the equation, 2 moles of sodium phosphate is giving 3 moles of sodium carbonate.
Therefore, sodium carbonate formed by 5.3 moles of sodium phosphate is as follows.

As number of moles is the mass of substance divided by its molar mass. So, mass of sodium carbonate ( molar mass = 105.98 g/mol) is as follows.

Thus, we can conclude that there is 842.54 grams of sodium carbonate are produced when 5.3 moles of sodium phosphate reacts with aluminum carbonate.
Answer:
General chemical equation
2 M + 3 X₂ → 2 MX₃
Explanation:
When metal reacts with halogens metal halide as a product obtained.
Now oxidation state of metal assume (+3)
and oxidation state for halogen = (+1)
So formula of the metal halide is (MX₃)
Denote the metal as M and halogen as X
the balanced chemical equation
2 M + 3 X₂ → 2 MX₃
So the resulted general equation when metal react with halogen is
2 M + 3 X₂ → 2 MX₃