Silver metal reacts with chlorine (Cl2) to yield silver chlo-ride. If 2.00 g of Ag reacts with 0.657 g of Cl2, what is the empirical formula of silver chloride?

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Step 1: The first step in determining the empirical formula is to convert the masses of the reactants to moles. The molar mass of silver (Ag) is approximately 107.87 g/mol and the molar mass of chlorine (Cl2) is approximately 70.90 g/mol. So, divide the given mass of each element by its molar mass to find the number of moles.

Step 2: Once you have the number of moles of each element, you can find the ratio of the number of moles of each element to each other. This is done by dividing each number of moles by the smallest number of moles calculated in step 1.

Step 3: If the ratio obtained in step 2 is not a whole number, it may be necessary to multiply it by an integer (for example, 2, 3, 4, etc.) to obtain whole numbers. This is because the empirical formula must be expressed in terms of whole numbers.

Step 4: The empirical formula is then written by assigning these whole numbers as subscripts to the corresponding elements in the formula.

Step 5: Check your empirical formula to make sure it makes sense. The empirical formula represents the simplest whole-number ratio of atoms in a compound. In this case, the empirical formula should represent the simplest whole-number ratio of silver (Ag) to chlorine (Cl) atoms in silver chloride.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Stoichiometry

Stoichiometry is the branch of chemistry that deals with the quantitative relationships between the reactants and products in a chemical reaction. It allows chemists to calculate the amounts of substances consumed and produced in a reaction based on balanced chemical equations. Understanding stoichiometry is essential for determining the empirical formula, as it helps in converting masses of reactants to moles and establishing the mole ratio.

Empirical Formula

The empirical formula of a compound represents the simplest whole-number ratio of the elements present in that compound. It is derived from the mole ratio of the elements after determining the number of moles of each element involved in the reaction. For silver chloride, calculating the empirical formula involves finding the ratio of silver to chlorine based on the moles obtained from the given masses.

Molar Mass

Molar mass is the mass of one mole of a substance, typically expressed in grams per mole (g/mol). It is crucial for converting between grams and moles, which is necessary for stoichiometric calculations. For this question, knowing the molar masses of silver (Ag) and chlorine (Cl2) allows for the conversion of the given masses into moles, facilitating the determination of the empirical formula of silver chloride.

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