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Use the Ideal Gas Law equation to find the molar mass of a 98.2 g sample of gas that fills a 50.0-liter container at STP.

Multiple choice question:

A) 32.0 g/mol
B) 44.0 g/mol
C) 4.00 g/mol
D) 1.48 g/mol

Answer :

Using the Ideal Gas Law equation, the molar mass of a 98. 2 g sample of gas that fills a 50. 0-liter container at STP is 48 g/mol

The correct answer is option D.

The Ideal Gas Law is PV=nRT, where P is pressure, V is volume, n is the number of moles of the gas, R is the ideal gas constant and T is temperature.

According to the Ideal Gas Law equation to find the molar mass of a 98.2 g sample of gas that fills a 50.0-liter container at STP is given by:

It is not clear which gas is present in the container, but since the temperature and pressure are fixed (standard pressure and temperature), we can assume that this gas is an ideal gas.

We can use the ideal gas law to calculate the number of moles of this gas:

PV=nRT

⟹n=PV/RT

=1.00 atm×50.0 L/0.0821 L·atm/mol·K×273 K

=1.96 mol

Since we know the mass of this gas, we can now calculate its molar mass:

M=mass/number of moles

=98.2 g/1.96 mol=48 g/mol

So the molar mass of the given gas is 48 g/mol.

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