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Which of the following best describes the volume occupied by 1 mole of an ideal gas at standard temperature and pressure (STP)?
A
273 L
B
1.0 L
C
0.0821 L
D
22.4 L
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1
Recall that standard temperature and pressure (STP) is defined as a temperature of 0°C (273 K) and a pressure of 1 atm.
Understand that 1 mole of an ideal gas at STP occupies a specific volume, which is a fundamental concept in gas laws.
Use the ideal gas law formula: \(P \times V = n \times R \times T\), where \(P\) is pressure, \(V\) is volume, \(n\) is number of moles, \(R\) is the ideal gas constant, and \(T\) is temperature in Kelvin.
Substitute the known values for STP and 1 mole of gas into the ideal gas law: \(1\,\text{atm} \times V = 1\,\text{mol} \times 0.0821\,\text{L\cdot atm/(mol\cdot K)} \times 273\,\text{K}\).
Solve for \(V\) to find the volume occupied by 1 mole of an ideal gas at STP, which will give you the value closest to 22.4 L.