An unknown compound has the following chemical formula: where \( x \) stands for a whole number. Measurements also show that a certain sample of the unknown compound contains 5.4 mol of chlorine and 2.74 mol of platinum. Write the complete chemical formula for the unknown compound.

To determine the complete chemical formula of the unknown compound, we need to find the ratio of the moles of chlorine (Cl) to the moles of platinum (Pt) in the sample. Given: - Moles of chlorine (Cl) = 5.4 mol - Moles of platinum (Pt) = 2.74 mol Next, we can find the ratio of Cl to Pt by dividing both values by the number of moles of platinum: \[ \text{Ratio of Cl to Pt} = \frac{5.4 \, \text{mol Cl}}{2.74 \, \text{mol Pt}} \approx 1.97 \] Now, we can simplify this ratio to whole numbers. To do this, we can divide both numbers by the smaller number of moles (2.74): \[ \text{Ratio of Cl to Pt} = \left( \frac{5.4}{2.74}, \frac{2.74}{2.74} \right) \approx (1.97, 1) \] To convert 1.97 to a whole number, we can round it to 2. Therefore, the ratio of chlorine to platinum is approximately 2:1. This means the chemical formula of the compound can be written as: \[ \text{PtCl}_2 \] Thus, the complete chemical formula for the unknown compound is: \[ \text{PtCl}_2 \]