High School

An unknown gas at 39.1 ∘C and 1.05 atm has a molar mass of 28.01 g/mol. Assuming ideal behavior, what is the density of the gas?

Density: ?

Answer :

Final answer:

The density of an unknown gas is approximately 1.18 g/L.

Explanation:

To calculate the density of an ideal gas, we must use the formula: density = MP/RT where M is the molar mass, P is the pressure, R is the gas constant, and T is the temperature.

In this case, the molar mass (M) of the gas is given as 28.01 g/mol, the pressure (P) is given as 1.05 atm, and the temperature (T) is given as 39.1 °C (or 312.25 K). The gas constant (R) is 0.0821 L·atm/(K·mol).

Substituting these values into the formula, we get density = (28.01 g/mol x 1.05 atm) / (0.0821 L·atm/K·mol x 312.25 K).

This gives us a density of approximately 1.18 g/L for the gas, assuming ideal behavior.

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