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?
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.