During one researcher's experiment, the total mass of the gas-generating solid and entire assembly was 52.1487g before the reaction and 52.1098g after the reaction. If the number of moles of gas generated was calculated to be 8.854 x 10-4 mol, what is the molar mass of the gas?

Respuesta :

Answer:

43.93 g/mol

Explanation:

The mass of the gas before reaction = 52.1487 g

The mass of the gas after reaction = 52.1098 g

Mass of gas generated = 0.0389 g

Moles of the gas = [tex]8.854\times 10^{-4}\ moles[/tex]

The formula for the calculation of moles is shown below:

[tex]moles = \frac{Mass\ taken}{Molar\ mass}[/tex]

Thus,

[tex]Molar\ mass = \frac{Mass\ taken}{Moles}[/tex]

[tex]Molar\ mass= \frac{0.0389\ g}{8.854\times 10^{-4}\ moles}[/tex]

Molar mass of the gas = 43.93 g/mol

The research experiment had the mass of gas generated as 0.0389 grams. The molar mass of the gas has been 43.93 grams/mol.

What is a mole?

The mole has been the mass of the compound or the element with respect to the molar mass.

The molar mass of the compound has been the mass of each element in the compound.

The mass of gas produced in the reaction is given as:

[tex]\rm Mass=Final\;mass-Initial\;mass[/tex]

The final mass of the assembly after the production of gas is 52.1487 grams. The initial mass of the assembly before the gas production is 52.1098 grams.

The mass of gas produced is given as;

[tex]\rm Mass=52.1487-52.1098\;g\\Mass=0.0389\;g[/tex]

The mass of gas produced is 0.0389 grams. The moles of the gas have been [tex]\rm 8.854\;\times\;10^{-4}[/tex]. The molar mass of the gas has been given as:

[tex]\rm Molar\;mass=\dfrac{Mass}{Moles}\\\\ Molar\;mass=\dfrac{0.0389}{8.854\;\times\;10^{-4}}\\\\ Molar\;mass=43.93\;g/mol[/tex]

The molar mass of the gas calculated has been 43.93 g/mol.

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