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Calculating Oxygen Mass in Air

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Questions and Answers

What is the correct conversion from Celsius to Kelvin when calculating the ideal gas law?

20 / 273.15

20 * 273.15

20 + 273.15 (correct)

20 - 273.15

What is the value of R (ideal gas constant) used in this calculation?

0.08206 L atm mol−1 K−1

0.08314 L atm mol−1 K−1

0.0821 L atm mol−1 K−1

0.082 L atm mol−1 K−1 (correct)

How many moles of oxygen (O2) are present in 1.0 L of air when the mole fraction of oxygen is 0.22?

0.022 mol

0.004 mol

0.042 mol

0.00924 mol (correct)

What is the mass of oxygen in grams contained in 1.0 L of air under the given conditions?

<p>0.296 g</p> Signup and view all the answers

Given the ideal gas law, what is the value calculated for 'n' when substituting the provided values?

<p>0.042 mol</p> Signup and view all the answers

Study Notes

Calculating the Mass of Oxygen in Air

The tutorial aims to calculate the mass of oxygen in 1 liter of air at 20°C and 1 atm pressure, assuming ideal behavior.
The ideal gas law, PV = nRT, is used to find the number of moles of air (n).
The temperature is converted from Celsius to Kelvin: 20°C + 273.15 = 293.15 K.
The given values for pressure (P = 1.0 atm), volume (V = 1.0 L), temperature (T = 293.15 K), and the ideal gas constant (R = 0.082 L atm mol⁻¹ K⁻¹) are plugged into the formula to calculate the number of moles (n).
The number of moles of air is calculated to be approximately 0.042 mol.
The mole fraction of oxygen (O2) in air is given as 0.22, so the number of moles of oxygen in 1 liter of air is 0.22 x 0.042 mol = 0.00924 mol.
The molecular mass of oxygen is 32 g mol⁻¹, so the mass of oxygen in 1 liter of air is 32 g mol⁻¹ x 0.00924 mol = 0.296 g.

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Description

This quiz focuses on calculating the mass of oxygen present in 1 liter of air under specified conditions using the ideal gas law. Participants will review the steps involving conversions and calculations related to moles of air and oxygen. Test your understanding of gas laws and stoichiometry in this practical application.