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10. A sample of gas occupies 4.00 L at 80.0 kPa at 303 K. How many moles of gas are in the sample? If the sample weighs 20.50 grams, what is its molar mass of the gas?​

Respuesta :

Answer:

Moles: [tex]n=0.127mol[/tex]

Molar mass: [tex]M=200.61 g/mol[/tex]

Explanation:

Hello,

In this case, we can use the ideal gas equation to compute the moles of the gas sample as shown below:

[tex]PV=nRT\\\\n=\frac{PV}{RT}[/tex]

Thus, we should use the pressure in atm as follows:

[tex]n=\frac{80.0kPa*\frac{0.00986923atm}{1kPa}*4.00L}{0.082\frac{atm*L}{mol*K}*303K}\\ \\n=0.127mol[/tex]

Moreover, the molar mass is obtained by dividing the given mass by the obtained moles:

[tex]M=\frac{m}{n}=\frac{25.50g}{0.127mol}\\ \\M=200.61 g/mol[/tex]

Best regards.