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Why is 22.4 liters called the molar volume of a gas?

Answer 1

The Molar Volume of an ideal gas at STP, which we define to be #0^@ "C"# and #"1 atm"# arbitrarily (because we're old-fashioned and stuck in 1982) is #"22.411 L/mol"#.

To calculate this we can use the Ideal gas law of #PV=nRT#

At STP (Standard Temperature and Pressure), we CHOSE: #P = "1 atm"# #V = ?# #n = "1 mol"# #R = "0.082057 L"cdot"atm/mol"cdot"K"# #"T = 273.15 K"#

#V = (nRT)/P#

#= (1 cancel("mol")) (0.082057 (cancel("atm")cdot"L")/(cancel("mol")cdotcancel("K")))(273.15cancel("K"))/(1 cancel("atm"))#

#=# #"22.411 L"#

This is the volume, in 1982 or earlier, of one mole of ideal gas at STP.

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Answer 2

Avery Adams

22.4 liters is called the molar volume of a gas because it represents the volume occupied by one mole of any gas at standard temperature and pressure (STP), which is defined as 0 degrees Celsius (273.15 Kelvin) and 1 atmosphere pressure. This value is derived from the ideal gas law, where one mole of any gas at STP occupies a volume of 22.4 liters.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.