Answer :

To identify the compound, the number of moles is calculated using Avogadro's number and the given amount of molecules, and then the molar mass is determined using the sample's mass. The calculated molar mass is used to compare against known compounds to approximate the identity of the compound.

To determine the compound with a given number of molecules and mass, we first need to find the number of moles in the sample. The Avogadro's number (6.02 x 10²³ molecules per mole) helps us establish this relationship. Given a sample contains 1.37 x 1024 molecules of the compound, the number of moles of the compound is obtained by dividing the number of molecules by Avogadro's number.

The calculation for moles is as follows:

Number of moles = (1.37 x 1024 molecules) / (6.02 x 10²³ molecules/mole) = 2.275 moles (approximately).

Now, given the mass of the sample is 100.0 g, and using the fact that molar mass is equal to mass divided by moles, we can find the molar mass of the compound:

Molar mass = Mass / Moles = 100.0 g / 2.275 moles = 43.956 g/mol (approximately).

With the approximate molar mass calculated, we could compare it to a list of known compounds to identify it, although additional information such as structural formulas or elemental composition would be needed to determine the exact compound.

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