Obviously, to calculate the volume/space lived in by a mole that (an ideal) gas, you"ll have to specify temperature ($T$) and pressure ($P$), uncover the gas constant ($R$) value through the best units and also plug them all in the appropriate gas equation $$PV = nRT.$$

The problem? It appears to it is in some kind of usual "wisdom" anywhere the Internet, the one mole that gas rectal $22.4$ liters of space. But the standard conditions (STP, NTP, or SATP) mentioned absence consistency over multiple sites/books. Usual claims: A mole that gas occupies,

$pu22.4 L$ at STP$pu22.4 L$ in ~ NTP$pu22.4 L$ at SATP$pu22.4 L$ at both STP and NTP

Even Chem.SE is rife v the "fact" the a mole of best gas rectal $pu22.4 L$, or some extension thereof.

You are watching: At stp 1 mole of gas occupies what volume

Being so completely frustrated through this situation, I made decision to calculation the volumes populated by a mole of appropriate gas (based ~ above the ideal gas equation) because that each the the 3 standard conditions; namely: typical Temperature and Pressure (STP), typical Temperature and Pressure (NTP) and Standard ambient Temperature and Pressure (SATP).

Knowing that,

STP: $pu0 ^circ C$ and $pu1 bar$NTP: $pu20 ^circ C$ and also $pu1 atm$SATP: $pu25 ^circ C$ and also $pu1 bar$

And utilizing the equation, $$V = frac nRTP,$$where $n = pu1 mol$, by default (since we"re talking around one mole the gas).

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I"ll draw appropriate values that the gas consistent $R$ from this Wikipedia table:

*

The volume populated by a mole of gas need to be:

At STPeginalignT &= pu273.0 K,&P &= pu1 bar,&R &= pu8.3144598 imes 10^-2 together bar K^-1 mol^-1.endalignPlugging in all the values, I got $$V = pu22.698475 L,$$ which come a reasonable approximation, gives$$V = pu22.7 L.$$

At NTPeginalignT &= pu293.0 K,&P &= pu1 atm,&R &= pu8.2057338 imes 10^-2 l atm K^-1 mol^-1.endalignPlugging in every the values, I gained $$V = pu24.04280003 L,$$ which come a reasonable approximation, offers $$V = pu24 L.$$

At SATPeginalignT &= pu298.0 K,&P &= pu1 bar,&R &= pu8.3144598 imes 10^-2 l bar K^-1 mol^-1.endalignPlugging in every the values, I got $$V = pu24.7770902 L,$$ which to a reasonable approximation, offers $$V = pu24.8 L.$$

Nowhere does the miracle "$pu22.4 L$" figure in the three cases I"ve analyzed appear. Because I"ve checked out the "one mole rectal $pu22.4 L$ in ~ STP/NTP" dictum so numerous times, I"m wonder if I"ve to let go something.

My question(s):

Did ns screw up with my calculations?(If ns didn"t screw up) Why is it that the "one mole rectal $pu22.4 L$" idea is for this reason widespread, despite not being close (enough) to the values that ns obtained?