객관식
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
객관식
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
검증된 단계별 안내1
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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