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Use the equation [tex]M = \frac{mRT}{PV}[/tex] to find the molar mass of a 98.2 g sample of gas that fills a 50.0-liter container at STP.

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

Answer :

The correct answer is 44.0 g/mol.

According to the ideal gas equation:

M = mRT/PV

Where:

M = Molar mass (g/mol)

m = Mass of gas sample (g) = 98.2 g

R = Universal gas constant = 0.08206 L atm K^-1 mol^-1

T = Temperature (K) = 273.15 K (STP)

P = Pressure (atm) = 1 atm (STP)

V = Volume (L) = 50.0 L

Substituting the values:

M = (98.2 g)(0.08206[tex]L atm K^-1 mol^-1[/tex])(273.15 K) / (1 atm)(50.0 L)

M = 44.0 g/mol

Therefore, the molar mass of a 98.2 g sample of gas that fills a 50.0 liter container at STP is b) 44.0 g/mol.

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