A student obtains a mixture of the chlorides of two unknown metals, X and Z. The percent by mass of X and the percent by mass of Z in the mixture is known. Which of the following additional information is most helpful in calculating the mole percent of XCl(s) and of ZCl(s) in the mixture?

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Answer:

the Molar masses of Z and X

Explanation:

The percent by mass of X states how many grams of X are in 100 grams of the mixture. Then, we know how many grams of X, Z (we also know its percent) and of Cl ( = 100 - X % - Z %). Taking 100 g of the mixture as a base, we have:

x grams of X

z grams of Z

y grams of Cl

With the molar masses of Z and X (and of Cl) we can transform all masses into moles and then compute the mole percent of XCl(s) and of ZCl(s) in the mixture

From the given information:

  • The percent by mass of X = Known
  • The percent by mass of Z = Known

The percentage mass is given as the mass of the element which is divided by mass of compound multiplied by 100.

it is estimated using the formular:

[tex]\mathbf{percentage \ mass = \dfrac{\text{mass of element in 1 mole of compound}} { \text{mass of 1 mole of compound}} \times 100}[/tex]

From there;

The mole percentage is determined, which is the ratio of moles in a substance (element or compound) divided by the total amount of the mixture.

Using the formula:

Mole percentage = mole fraction × 100

Since the mole fraction is not given, it can be estimated as well by using the formula:

[tex]\mathbf{Mole\ fraction = \dfrac{\text{No of moles of a component} }{\text{total number of moles of the compound}}}[/tex]

Eventually; To determine the unknown number of moles, we will need the value of their respective molar masses(i.e. for X and Z) by using the formula:

[tex]\mathbf{Number \ of \ moles = \dfrac{Mass}{Molar \ Mass}}[/tex]

In conclusion, the additional information required in calculating the mole percent of XCl(s) and ZCl(s) in the mixture is the molar mass of X and Z.

Learn more about Molar mass here:

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