Answer: The molar mass of the gas is 2.02 grams.
Explanation:
We are given:
Density of gas = 0.0902 g/L
At STP conditions:
1 mole of gas occupies 22.4 L of volume
And 1 mole of a substance is known as the molecular mass or molar mass of that substance.
To calculate the mass of gas, we use the equation:
[tex]\text{Density of gas}=\frac{\text{Mass of gas}}{\text{Volume of gas}}[/tex]
Putting values in above equation, we get:
[tex]0.0902g/L=\frac{\text{Mass of gas}}{22.4L}\\\\\text{Mass of gas}=2.02g[/tex]
Hence, the molar mass of the gas is 2.02 grams.
The molar mass of the ideal gas is determined as 2.02 g.
The given parameters;
The density of any fluid is obtained by diving the mass of the fluid by its volume;
[tex]\rho = \frac{mass}{volume}[/tex]
The molar mass of the ideal gas is calculated as follows;
mass = density x volume
mass = 0.0902 x 22.4
mass = 2.02 g
Thus, the molar mass of the ideal gas is determined as 2.02 g.
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