The formate ion, (CHO2-), is related to the acetate ion and forms ionic salts with many metal ions. Assume that 9.7416 g of M(CHO2)2 (where M represents the atomic symbol for a particular metal) are dissolved in water. When a solution of 0.200 M sodium sulfate is added, a white precipitate forms. The sodium sulfate solution is added until no more precipitate forms, then a few excess milliliters are added. The precipitate is filtered, washed, and dried. It has a mass of 9.9389 g. The filtrate is placed aside.

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To find out the identity of the metal M in M(CHO2)2, we need to calculate the molar mass of the precipitate (M(CHO2)2) and use that information to determine the identity of the metal M.

Here are the steps to calculate the molar mass of the precipitate:

1. Calculate the moles of precipitate:
moles = mass / molar mass

mass of precipitate = 9.9389 g

2. Calculate the molar mass of the precipitate:
molar mass = mass / moles

moles of precipitate can be calculated from the mass and molar mass of the precipitate.

3. Determine the molar mass of the acetate ion (CHO2-).
The molar masses of carbon, hydrogen, and oxygen are:
C: 12.01 g/mol
H: 1.01 g/mol
O: 16.00 g/mol

Since each acetate ion contains one carbon atom, two hydrogen atoms, and two oxygen atoms, the molar mass of the acetate ion is:
Molar mass of acetate ion = (1 * 12.01 g/mol) + (2 * 1.01 g/mol) + (2 * 16.00 g/mol)

4. Calculate the molar mass of M(CHO2)2:
The molar mass of M(CHO2)2 can be calculated using the molar mass of the acetate ion and the molar mass of the metal M:
Molar mass of M(CHO2)2 = 2 * molar mass of acetate ion + molar mass of M

Now that we have the molar mass of the precipitate, we can use it to determine the identity of the metal M.

From the given information, it is mentioned that a solution of 0.200 M sodium sulfate is added. This suggests that the precipitate formed is an insoluble sulfate salt of M.

To identify the metal M, you can refer to a solubility chart or database of metal sulfates and their solubilities. By finding the metal sulfate that matches the observed solubility behavior, you can determine the identity of the metal M.

Note: If additional information or data is provided, such as the solubility behavior of M(CHO2)2 or additional experiments, it may be possible to narrow down the possibilities and identify the metal M more precisely.