At a given temperature and pressure, the volume of a gaseous sample is directly proportional to the moles of gas (volume = C * moles, where C is a constant). Assuming that the tempreature and pressure is the same for the reaction of magnesium with HCl(aq) and zinc with HCl(aq) and considering the balanced chemical equation for these reactions, answer the following question: what is the relationship between the factor R2 and the following factor, labeled R3:

R3 = Volume of H2 gas produced per mole of zinc that reacts.

and R2?

R2= volume of H2 produced per mole of magnesium that reacts

To determine the relationship between the factors R2 and R3, we need to consider the balanced chemical equations for the reactions.

The balanced chemical equation for the reaction between magnesium (Mg) and hydrochloric acid (HCl) can be written as follows:

Mg + 2HCl -> MgCl2 + H2

The balanced chemical equation for the reaction between zinc (Zn) and hydrochloric acid (HCl) can be written as follows:

Zn + 2HCl -> ZnCl2 + H2

From both equations, we can observe that for every 1 mole of magnesium or zinc that reacts, 1 mole of hydrogen gas (H2) is produced.

Therefore, in this case, the factor R3, which represents the volume of H2 gas produced per mole of zinc that reacts, will have the same value as factor R2, which represents the volume of H2 gas produced per mole of magnesium that reacts.

Hence, the relationship between R2 and R3 is that they have the same value, as both reactions produce the same amount of hydrogen gas per mole of metal reacted.