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.
To determine the relationship between R2 and R3, we need to understand the balanced chemical equations for the reactions of magnesium and zinc with hydrochloric acid (HCl).
The balanced equation for the reaction of magnesium (Mg) with HCl is:
Mg(s) + 2HCl(aq) -> MgCl2(aq) + H2(g)
The balanced equation for the reaction of zinc (Zn) with HCl is:
Zn(s) + 2HCl(aq) -> ZnCl2(aq) + H2(g)
From these equations, we can see that one mole of magnesium reacts with two moles of HCl to produce one mole of hydrogen gas (H2). Similarly, one mole of zinc reacts with two moles of HCl to produce one mole of hydrogen gas.
Now, let's define the factors R2 and R3:
R2 = Volume of H2 gas produced per mole of magnesium that reacts
R3 = Volume of H2 gas produced per mole of zinc that reacts
Since the balanced equations for both reactions show that one mole of magnesium or zinc reacts to produce one mole of H2 gas, we can conclude that R2 is equal to R3.
In other words, R2 = R3, implying that the relationship between the two factors is equality.