Determine a possible Lewis Structure for each of the two compounds X and Y, given the following information:

Compound X contains only carbon, hydrogen, and oxygen. It is heated in a 1.00 liter flask to 160. degrees C and 1.00 atm until all of it has vaporized and fills the container completely. The flask is then cooled and found to contain 3.267 grams of compound X.
When 0.500 grams of compound X is burned in the presence of oxygen, 0.465 grams of water and 1.136 grams of CO2 are produced.
Compound X can be formed from the reaction of compound Y with potassium dichromate. Also, compound X can be neutralized by sodium hydroxide.

So I'm thinking to start with the PV=nRT with the given pressure, volume, and temperature then find how many moles there are in compound X. After that divide the given mass of the compound (3.267 grams) by the calculated number of moles to find the molar mass of the compound X. I am stuck here, what do I do next?

What's you have suggested sounds OK to me. That will give you the molar mass.

The second part (with 0.500 g X) lets you calculate the empirical formula.
1, Convert the CO2 to grams C.
2. Convert the H2O to grams H.
3 Grams O = 0.500 g - g C - g H = ?

Now convert g C, H, O to mols each and find the ratio of C, H, and O. That gives the empirical formula and together with part 1 gives the molecular formula.

The neutralization with NaOH suggests a carboxylic acid to me.
The Y + dichormate suggests an aldehyde (Y) being oxidized to an acid (X)

To determine the Lewis structure of a compound, we need to know the number of valence electrons for each atom in the compound. Valence electrons are the outermost electrons of an atom that participate in chemical bonding.

Since compound X contains only carbon, hydrogen, and oxygen, we can determine the Lewis structure based on the given information and the properties of these elements.

1. Determining the number of valence electrons for each atom:
- Carbon (C) has 4 valence electrons.
- Hydrogen (H) has 1 valence electron.
- Oxygen (O) has 6 valence electrons.

2. Heating Compound X to obtain the empirical formula:
Compound X is heated in a 1.00-liter flask until it vaporizes and fills the container completely. After cooling, the flask is found to contain 3.267 grams of Compound X. To determine the empirical formula, we need to calculate the number of moles of Compound X.

- Calculate the molar mass of Compound X:
We need to know the molar masses of carbon (C), hydrogen (H), and oxygen (O).
Carbon (C) = 12.01 g/mol
Hydrogen (H) = 1.008 g/mol
Oxygen (O) = 16.00 g/mol

Using the given mass of 3.267 grams of Compound X, calculate the number of moles:
Moles of Compound X = Given mass / Molar mass of Compound X

- Once we have the number of moles of Compound X, we can determine the empirical formula by finding the simplest whole number ratio of the elements present.

3. Burning Compound X to determine the products:
When 0.500 grams of Compound X is burned in the presence of oxygen, 0.465 grams of water (H2O) and 1.136 grams of carbon dioxide (CO2) are produced. This gives us information about the possible elements present in Compound X.

4. Reaction with potassium dichromate:
Compound X can be formed from the reaction of Compound Y with potassium dichromate. This suggests that Compound X may contain functional groups or elements that can react with potassium dichromate to form the compound.

5. Neutralization by sodium hydroxide:
Compound X can be neutralized by sodium hydroxide (NaOH). This implies that Compound X might contain acidic or basic functional groups that can react with sodium hydroxide to form a salt.

Using the given information, we can make educated guesses about the possible Lewis structures of compounds X and Y. However, without additional information about the specific functional groups or formulae, it is difficult to determine the exact structures. It would be helpful to have more information about Compound Y, such as its elemental composition or any known functional groups.