Use the ideal gas law equation to find the molar mass of a 98.2 g sample of gas that fills a 50.0-liter container at STP (Standard Temperature and Pressure).

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High School

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bhoopendrasisodiya34 bhoopendrasisodiya34 · Answer 1 · 2023-12-21T22:35:42-05:00

The value of molar mass of a 98.2 g sample of gas that fills a 50.0-liter container at stp is 80 g/mol.

The ideal gas law can be given as,

[tex]pV=nRT[/tex]

Here, (p) is pressure, (V) is volume, (n) amount of substance, (R) is ideal gas constant and (T) is the temperature.

For the given problem the modified ideal gas law, (written below) can be used.

[tex]PM=dRT[/tex]

Here, (M) is molar mass and (d) is density.

The molar mass of a 98.2 g sample of gas that fills a 50.0-liter container at stp. As the density is ratio of molar mass to volume. Thus,

[tex]d=\dfrac{40}{11.2}\\d=3.57\rm\; g/L[/tex]

The standard value of temperature and pressure is,

[tex]T=273\text{ K}\\p=1\rm\; bar[/tex]

The value of ideal gas constant (R) is 0.0821 atmL per mol K. Put these values in the above formula,

[tex]1\times M=3.57\times0.0821\times273\\M=80\rm\; g/mol[/tex]

Thus, the value of molar mass of a 98.2 g sample of gas that fills a 50.0-liter container at stp is 80 g/mol.

Learn more about the gas law here;

https://brainly.com/question/25290815

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