What volume does one mole of an ideal gas occupy at standard temperature and pressure?

One mole of an ideal gas occupies a volume of 22.4 liters at standard temperature and pressure (STP). Standard temperature is defined as 0 degrees Celsius (273.15 K), and standard pressure is defined as 1 atmosphere (atm). This value of 22.4 liters is derived from the ideal gas law, which states that for a given amount of gas at a constant temperature and pressure, the volume is proportional to the number of moles of gas.

At STP, the relationship can also be represented by the equation:

[ PV = nRT ]

where:

• ( P ) is the pressure (1 atm at STP),

• ( V ) is the volume,

• ( n ) is the number of moles (1 mole in this case),

• ( R ) is the ideal gas constant (0.0821 L·atm/(K·mol)),

• ( T ) is the temperature in Kelvin (273.15 K at STP).

By plugging these values into the equation, we solve for volume ( V ) and find it equals 22.4 liters. This specific volume is a fundamental concept in chemistry and illustrates the behavior of gases under defined conditions. Understanding