The molar mass of the compound is 298 g/mol.
Define molar mass?
The mass of a sample of a chemical compound divided by the number of moles in the sample, measured in moles, is known as the molar mass of that compound.
Given:
Mass of sample = 13.7 g
Pressure P = 2.01 atm
Volume V = 0.750 L
Temperature T = 399 K
From the ideal gas equation,
PV = nRT
n = PV/RT
= 2.01 atm x 0.750 L / 0.0821 L-atm/mol-K x 399 K
= 0.04602 mol
It is calculated as,
Molar mass of the compound = mass /moles
= 13.7 g / 0.04602 mol
= 297.7 g/mol
= 298 g/mol
Therefore, the molar mass of the compound is = 298 g/mol.
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