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At standard temperature and pressure (STP), what is the volume occupied by 1 mole of an ideal gas?
A
22.4 L
B
1.00 L
C
0.0821 L
D
273 L
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1
Recall the definition of standard temperature and pressure (STP), which is 0°C (273 K) and 1 atm pressure.
Understand that at STP, one mole of an ideal gas occupies a specific volume known as the molar volume.
Use the ideal gas law equation: \(P \times V = n \times R \times T\), 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: \(P = 1\) atm, \(n = 1\) mole, \(T = 273\) K, and \(R = 0.0821\) L·atm/(mol·K).
Solve for volume \(V\) by rearranging the ideal gas law: \(V = \frac{n \times R \times T}{P}\), then plug in the values to find the volume occupied by 1 mole of an ideal gas at STP.