Select three of the chemical equations that adhere to the conservation of mass. A. 4Al+3O_(2)arrow 2Al_(2)O_(3) B SnO_(2)+H_(2)arrow Sn+H_(2)O C. AgI+Na_(2)Sarrow Ag_(2)S+2NaI D. H_(3)PO_(4)+5HClarrow PCl_(5)+H_(2)O E 4FeS+7O_(2)arrow 2Fe_(2)O_(3)+4SO_(2) F. C_(3)H_(8)+5O_(2)arrow 4H_(2)O+3CO_(2)

The conservation of mass states that matter cannot be created or destroyed in an isolated system. In a chemical reaction, the mass of the reactants (the substances that react) must equal the mass of the products (the substances that are produced). This is known as the law of conservation of mass. <br /><br />Let's examine each of the given equations:<br /><br />A. $4Al+3O_{2}\rightarrow 2Al_{2}O_{3}$: The number of Al atoms on the left side is 4, and on the right side is 4 (in $2Al_{2}O_{3}$). The number of O atoms on the left side is 6, and on the right side is 6 (in $2Al_{2}O_{3}$). This equation adheres to the conservation of mass.<br /><br />B. $SnO_{2}+H_{2}\rightarrow Sn+H_{2}O$: The number of Sn atoms on the left side is 1, and on the right side is 1. The number of O atoms on the left side is 2, and on the right side is 1 (in $H_{2}O$). This equation does not adhere to the conservation of mass.<br /><br />C. $AgI+Na_{2}S\rightarrow Ag_{2}S+2NaI$: The number of Ag atoms on the left side is 1, and on the right side is 2 (in $Ag_{2}S$). The number of I atoms on the left side is 1, and on the right side is 2 (in $2NaI$). This equation does not adhere to the conservation of mass.<br /><br />D. $H_{3}PO_{4}+5HCl\rightarrow PCl_{5}+H_{2}O$: The number of H atoms on the left side is 8, and on the right side is 2 (in $H_{2}O$). The number of P atoms on the left side is 1, and on the right side is 1. The number of Cl atoms on the left side is 5, and on the right side is 5. This equation adheres to the conservation of mass.<br /><br />E. $4FeS+7O_{2}\rightarrow 2Fe_{2}O_{3}+4SO_{2}$: The number of Fe atoms on the left side is 4, and on the right side is 4 (in $2Fe_{2}O_{3}$). The number of S atoms on the left side is 4, and on the right side is 4 (in $4SO_{2}$). The number of O atoms on the left side is 14, and on the right side is 14 (10 in $2Fe_{2}O_{3}$ and 4 in $4SO_{2}$). This equation adheres to the conservation of mass.<br /><br />F. $C_{3}H_{8}+5O_{2}\rightarrow 4H_{2}O+3CO_{2}$: The number of C atoms on the left side is 3, and on the right side is 3 (in $3CO_{2}$). The number of H atoms on the left side is 8, and on the right side is 8 (in $4H_{2}O$). The number of O atoms on the left side is 10, and on the right side is 10 (4 in $4H_{2}O$ and 6 in $3CO_{2}$). This equation adheres to the conservation of mass.<br /><br />Therefore, the equations that adhere to the conservation of mass are A, D, and F.