A steel cylinder for scuba diving contains 11.1 L of compressed air. The pressure inside the cylinder is 204 atm at a temperature of 24°C.
Calculate the number of moles of air in the cylinder.
Write your answer using three significant figures.
mol air

The number of moles of air in the cylinder is 92.98 moles

From the following parameters given, we are to determine the number of moles of air in the cylinder.

Given that:

The number of moles of air can be determined by using the relation for the ideal gas equation which can be expressed as:

where

Making (n) the subject of the formula:

n = 92.98 moles

Learn more about the ideal gas equation here:

link

9.28moles

Explanation:

Given parameters:

volume  = 11.1L

pressure  = 204atm

temperature  = 24°C = 24 + 273  = 297K

Unknown:

Number of moles of air in the cylinder  = ?

Solution:

To solve this problem, we apply the ideal gas equation;

         PV = nRT

P is the pressure

V is the volume

n is the number of moles

R is the gas constant  = 0.082atmdm³mol⁻¹K⁻¹

T is the temperature

Now insert the parameters and find n;

     204 x 11.1  = n x 0.082 x 297

    226.4  = 24.4n

        n  = 9.28moles

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