To determine the accuracy of the statements related to the nuclear equation involving the transmutation of radon into polonium and an alpha particle, let’s break down the components involved.
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Understanding the transmutation: In a typical nuclear equation where radon (which has an atomic number of 86) decays into polonium (which has an atomic number of 84) and an alpha particle (which consists of 2 protons and 2 neutrons), we have:
\[ \text{Radon (Rn)} \rightarrow \text{Polonium (Po)} + \text{Alpha Particle (α)} \]
The equation would look something like this:
\[ {}^{Rn}{86} \rightarrow {}^{Po}{84} + {}^{4}_{2}\alpha \]
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Counting protons:
- Before the reaction (reactants): Radon (86 protons).
- After the reaction (products): Polonium (84 protons) + Alpha particle (2 protons).
Thus, the total number of protons on the product side is \(84 + 2 = 86\).
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Analyzing the statements:
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First Statement: "On the products side, the number of protons is 84 = 86 but on the reactant side, the number is only 84 with no other protons in the products, so it is NOT balanced."
- This statement is FALSE because the number of protons on the products side (86) equals the number on the reactant side (86). Therefore, it is balanced.
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Second Statement: "On the reactant side the total number of protons + neutron"
- This statement appears incomplete; it seems to be leading toward a point about balancing nucleon numbers (total protons + neutrons) on both sides of the equation.
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Nucleon balance:
- Counting total nucleons (protons + neutrons) also needs to be balanced. Radon typically has a mass number of 222 (for the commonly occurring isotope), so the equation would look like this:
\[ {}^{222}{86}\text{Rn} \rightarrow {}^{218}{84}\text{Po} + {}^{4}_{2}\text{α} \]
- On the left: 222 (mass number for radon).
- On the right: 218 (mass number for polonium) + 4 (mass number for alpha particle) = 222.
Since both proton numbers and mass numbers are balanced, the true statement should indicate that both sides of the nuclear equation are indeed balanced.
So, the true statement is that the total number of protons on both sides of the equation is equal, making it balanced.