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Multiple Choice
Which of the following is the correct chemical formula for aluminum chromate?
A
AlCrO4
B
Al(CrO4)2
C
Al2CrO4
D
Al2(CrO4)3
Verified step by step guidance
1
Step 1: Identify the ions involved and their charges. Aluminum typically forms a cation with a charge of +3, written as Al^{3+}. The chromate ion is a polyatomic anion with the formula CrO_4^{2-}, carrying a charge of -2.
Step 2: Determine the ratio of aluminum ions to chromate ions needed to balance the overall charge of the compound. Since aluminum has a +3 charge and chromate has a -2 charge, find the least common multiple (LCM) of the charges to balance them.
Step 3: Calculate the number of each ion required to achieve charge neutrality. The LCM of 3 and 2 is 6, so you need enough Al^{3+} ions to provide a total positive charge of +6 and enough CrO_4^{2-} ions to provide a total negative charge of -6.
Step 4: Determine the subscripts for each ion based on the charge balance. To get +6 from Al^{3+}, you need 2 aluminum ions (2 × +3 = +6). To get -6 from CrO_4^{2-}, you need 3 chromate ions (3 × -2 = -6).
Step 5: Write the chemical formula by placing the number of each ion as subscripts, using parentheses for the polyatomic ion if there is more than one. The correct formula is Al_2(CrO_4)_3.