To determine which statement is true about the reaction
[tex]\[
{}_7^{14}N + {}_1^1H \longrightarrow {}_8^{15}O,
\][/tex]
we need to compare the masses of the reactants and the product.
1. Mass of Nitrogen ([tex]\(_7^{14}N\)[/tex]): The mass of this nitrogen isotope is 14.
2. Mass of Hydrogen ([tex]\(_1^{1}H\)[/tex]): The mass of this hydrogen isotope is 1.
3. Mass of Oxygen ([tex]\(_8^{15}O\)[/tex]): The mass of this oxygen isotope is 15.
Let's consider the product (oxygen) and compare it to each of the reactants (nitrogen and hydrogen):
- Compare the mass of the product (oxygen) to the mass of nitrogen:
- Oxygen mass: 15
- Nitrogen mass: 14
- [tex]\( 15 > 14 \)[/tex]
- Compare the mass of the product (oxygen) to the mass of hydrogen:
- Oxygen mass: 15
- Hydrogen mass: 1
- [tex]\( 15 > 1 \)[/tex]
From these comparisons, it is clear that the mass of the oxygen product is greater than the mass of each of its reactants, nitrogen, and hydrogen.
Hence, the true statement about this reaction is:
Its product is heavier than each of its reactants.