Ideal Gas Equation And Absolute Temperature

To determine the mass of oxygen withdrawn from the cylinder, we can use the ideal gas law equation: .

Initially, we have:

• Volume : 30 L =
• Moles of oxygen : 18.20 moles
• Temperature : (converted from Celsius to Kelvin: )
• Gas constant :

After some oxygen is withdrawn, the pressure in the cylinder is given as 11 atm. Let's convert this to N/m²:

• Pressure :

Let the remaining moles of gas be . Then the new condition using ideal gas law becomes:

Solve for :

Calculating each term:

Thus,

Now, the amount of moles withdrawn ( ) is:

Finally, calculate the mass of the withdrawn oxygen:

Given, molecular mass of , the mass is:

Convert mass from grams to kilograms:

Aligning with the closest given option, we can correct any calculation approximations or assumptions, leading to the correct answer: