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 find the relationship between R2 and R3, let's break down the reaction equations for the reactions of magnesium with HCl(aq) and zinc with HCl(aq).
The balanced equation for the reaction of magnesium with HCl(aq) is:
Mg(s) + 2HCl(aq) -> MgCl2(aq) + H2(g)
The balanced equation for the reaction of zinc with HCl(aq) is:
Zn(s) + 2HCl(aq) -> ZnCl2(aq) + H2(g)
From these equations, we can see that in both reactions, 1 mole of H2 gas is produced per mole of reactant (either magnesium or zinc) that reacts with 2 moles of HCl.
For R3, we are interested in the volume of H2 gas produced per mole of zinc that reacts. We can express this relationship as:
R3 = Volume of H2 gas / Moles of zinc
Now, let's look at R2, which represents the volume of gas produced per mole of gas reacting. Since in both reactions 1 mole of H2 gas is produced per mole of reactant that reacts, we can express the relationship as:
R2 = Volume of H2 gas / Moles of reactants
Comparing the two expressions, we see that R3 is the same as R2 since the numerator (Volume of H2 gas) and the denominator (Moles of reactants or moles of zinc) are the same in both cases.
Thus, the relationship between R2 and R3 is that they are equal since they represent the same ratio of the volume of H2 gas produced per mole of reactants or zinc that reacts.