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AP Chemistry
3.6 Deviation from Ideal Gas Law
3.4 Ideal Gas Law
AdvancedMCQMathematicalConceptual13.3k
A student conducts an experiment to determine the molar mass of an unknown pure volatile liquid using the vapor density method. A sample of the liquid is completely vaporized in a closed container, and the temperature, pressure, volume, and mass of the vapor are recorded across three separate trials at \(300\text{ K}\).

TrialPressure (\(\text{atm}\))Volume (\(\text{L}\))Temperature (\(\text{K}\))Mass of vapor (\(\text{g}\))
1\(1.00\)\(0.246\)\(300\)\(0.88\)
2\(0.50\)\(0.492\)\(300\)\(0.88\)
3\(0.75\)\(0.246\)\(300\)\(0.66\)

The student consults the following reference table of candidate volatile liquids:

Candidate liquidMolecular formulaMolar mass (\(\text{g/mol}\))
Ethanol\(\text{C}_2\text{H}_6\text{O}\)\(46\)
Acetone\(\text{C}_3\text{H}_6\text{O}\)\(58\)
Diethyl ether\(\text{C}_4\text{H}_{10}\text{O}\)\(74\)
Ethyl acetate\(\text{C}_4\text{H}_8\text{O}_2\)\(88\)

Based on the experimental data, which of the candidate liquids is the unknown, and which statement provides the correct justification?

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