Multiple Choice
Under standard temperature and pressure (STP), what volume does one mole of an ideal gas occupy?
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7. Gases
Standard Temperature and Pressure
Multiple Choice
At standard temperature and pressure (STP), which of the following gas samples has the greatest volume?
A
0.5 mol of He
B
1.5 mol of CO_2
C
2.0 mol of O_2
D
1.0 mol of N_2
Verified step by step guidance1
Recall that at standard temperature and pressure (STP), one mole of any ideal gas occupies the same volume, which is approximately 22.4 liters. This is a key concept known as Avogadro's law.
Identify the number of moles for each gas sample given: 0.5 mol of He, 1.5 mol of CO_2, 2.0 mol of O_2, and 1.0 mol of N_2.
Use the relationship between moles and volume at STP: \(V = n \times 22.4\, \text{L}\), where \(n\) is the number of moles and \(V\) is the volume in liters.
Calculate the volume for each gas by multiplying the number of moles by 22.4 L/mol (do not compute the final values, just set up the expressions):
\[V_{He} = 0.5 \times 22.4\]
\[V_{CO_2} = 1.5 \times 22.4\]
\[V_{O_2} = 2.0 \times 22.4\]
\[V_{N_2} = 1.0 \times 22.4\]
Compare the volumes calculated for each gas. The gas with the greatest number of moles will have the greatest volume at STP.
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