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What is the molar mass of 2.45 L of an unknown gas with a mass of 3.87 g at 325 K and 2.00 atm?

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Final answer:

The molar mass of the unknown gas is found to be approximately 21.14 g/mol by applying the ideal gas law formula.

Step-by-step explanation:

To calculate the molar mass of the unknown gas using the information provided and the ideal gas law equation, we can rearrange the equation in terms of molar mass (MM):

MM = (mRT) / (PV)

where:

m = mass of the gas (3.87 g)

R = universal gas constant (0.0821 L·atm/K·mol)

T = temperature in Kelvin (325 K)

P = pressure (2.00 atm)

V = volume of the gas (2.45 L)

We need to plug in the numerical values into the equation:

MM = (3.87 g × 0.0821 L·atm/K·mol × 325 K) / (2.00 atm × 2.45 L)

MM = (103.59725 g·L·atm/K·mol) / (4.9 L·atm)

MM = 21.14 g/mol

The molar mass of the unknown gas is approximately 21.14 grams per mole.

User Paolo Bernasconi
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