Answer :
If the moles of carbon are 2 and the moles of hydrogen are 6, the empirical formula would be C2H6.
To determine the empirical formula of the hydrocarbon, we need to calculate the moles of carbon and hydrogen in the given sample.
First, let's calculate the moles of carbon (C) and hydrogen (H) separately.
Molar mass of carbon (C) = 12.01 g/mol
The molar mass of hydrogen (H) = 1.008 g/mol
Mass of carbon (C) = 0.5000 g
Mass of hydrogen (H) = To be determined
Using the ideal gas law equation, we can calculate the moles of hydrogen (H):
PV = nRT
Rearranging the equation:
n = PV / RT
n = (0.08206 atm/mol-K) * (98.3 + 273) K / 0.0 atm
Now, we can substitute the given values into the equation and calculate the moles of hydrogen:
n = (0.08206 * 371.3) / 0.0
Next, we need to convert the moles of carbon and hydrogen to the simplest whole-number ratio by dividing by the smallest number of moles.
Finally, we can write the empirical formula using the obtained ratio of carbon and hydrogen.
If the moles of carbon are 2 and the moles of hydrogen are 6, the empirical formula would be C2H6.
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