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3.15 g of an unknown gas at 35 °C and 1.10 atm is stored in a 1.85-L flask. What is the density of the gas? what is the molar mass of the gas?

Verified Answer :

ensity: 
(1.05 g) / (1.45 L) = 0.724 g/L 

Answer:

\(M=39.1g/mol\)

\(\rho=1.70g/L\)

Explanation:

Hello,

In this case, one uses the ideal gas equation:

\(PV=nRT\)

By solving for moles in terms of mass and molar mass one obtains:

\(PV=\frac{m}{M}RT\\M=\frac{mRT}{PV} =\frac{3.15g*0.082 \frac{atm*L}{mol*K} *(35+273)K}{1.10atm*1.85L} \\M=39.1g/mol\)

On the other hand, the density is easily computed as shown below:

\(\rho=\frac{m}{V}=\frac{3.15g}{1.85L}=1.70g/L\)

Best regards.