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 factor R2 and R3, we need to consider the balanced chemical equations for the reactions of magnesium with HCl(aq) and zinc with HCl(aq).
The balanced chemical equation for the reaction of magnesium with HCl(aq) is:
Mg(s) + 2HCl(aq) -> MgCl2(aq) + H2(g)
From the balanced equation, we can see that 1 mole of magnesium reacts to produce 1 mole of hydrogen gas (H2). Therefore, for R3 (Volume of H2 gas produced per mole of zinc that reacts), the value would be 1.
Now, let's consider the reaction of zinc with HCl(aq):
Zn(s) + 2HCl(aq) -> ZnCl2(aq) + H2(g)
Similar to the previous case, 1 mole of zinc reacts to produce 1 mole of hydrogen gas (H2). So, for R2 (Volume of H2 gas produced per mole of magnesium that reacts), the value would also be 1.
Therefore, the relationship between R2 and R3 is that they both have a value of 1.
To determine the relationship between R2 and R3, we need to understand the balanced chemical equations for the reactions of magnesium with HCl(aq) and zinc with HCl(aq).
1. Magnesium reaction:
Mg(s) + 2HCl(aq) -> MgCl2(aq) + H2(g)
2. Zinc reaction:
Zn(s) + 2HCl(aq) -> ZnCl2(aq) + H2(g)
From the equations, we can observe that both reactions produce hydrogen gas (H2) when reacted with hydrochloric acid (HCl(aq)). Now let's define 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.
By comparing the balanced chemical equations, we can see that in both reactions, 1 mole of magnesium or zinc reacts with 2 moles of HCl to produce 1 mole of H2 gas. Therefore, we can conclude that the relationship between R2 and R3 is 1:1, i.e., they are equal.
This means that for each mole of magnesium or zinc that reacts, an equal volume of H2 gas is produced.