Question

What is the molar mass of a sample of gas that has a density of 2.85g/L at 101kPa pressure
and 29°C? Name the law that is used to solve this problem.

Answer 1

Answer:71.25

Explanation:

Answer 2

The molar mass of a sample of gas that has a density of 2.85g/L at 101 kPa pressure and 29°C is 71.37  g mol⁻¹ and It can be solved using Ideal gas law.

What is Ideal gas law ?

The ideal gas law is an equation of state that describes ideal gases.

This equation of state relates a gas’s pressure, volume, temperature, and mass, and is very useful for describing how gases will behave in ideal conditions.

This is the most common equation of state for gases.

Ideal Gas equation ;

PV = nRT

Molar mass (Mm) = m /n

Where ;

• m = given mass
• n = number of moles

we also know,

Density (D) = m / v

Where ;

• m = mass
• v = volume

Now, Putting the formula of Molar mass and Density in ideal gas equation we get ;

Molar mass = D RT/ P

Given ;

• Density = 2.85 g/L
• Pressure = 101kpa (= 0.99 atm)
• Temperature = 29°C (= 302.15 K)
• (Gas constant) R = 0.0821

Putting all the values in  the above equation of molar mass ;

Molar mass = 2.85 x 0.0821 x 302 / 0.99

                    = 71.37  g mol⁻¹

Learn more about Ideal gas law here ;

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