A 3.35 gram sample of an unknown gas is found to occupy a volume of 1.64 L at a pressure of 706 mmHg and a temperature of 59 °C. Assume ideal behavior. The molar mass of the unknown gas is ___________ g/mol.

Respuesta :

Answer:  The molar mass of the unknown gas is 59.8 g/mol

Explanation:

According to the ideal gas equation:-

[tex]PV=nRT[/tex]

P= Pressure of the gas = 706 mmHg = 0.93 atm    (760mmHg=1atm)

V= Volume of the gas = 1.64 L

T= Temperature of the gas = 59°C=(59+273)K=332 K   (0°C = 273 K)

R= Value of gas constant = 0.0821 Latm\K mol

[tex]n=\frac{PV}{RT}=\frac{0.93\times 1.64L}{0.0821 \times 332}=0.056moles[/tex]

To calculate the moles, we use the equation:

[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text {Molar mass}}[/tex]

[tex]0.056=\frac{3.35g}{\text {Molar mass}}[/tex]

[tex]{\text {Molar mass}}=59.8g[/tex]

Thus the molar mass of the unknown gas is 59.8 g/mol