Obviously, to calculate the volume/space inhabited by a mole of (an ideal) gas, you"ll have to specify temperature ($T$) and also pressure ($P$), find the gas constant ($R$) value through the ideal units and plug them every in the best gas equation $$PV = nRT.$$
The problem? It seems to be some kind of typical "wisdom" all over the Internet, the one mole that gas occupies $22.4$ liters that space. But the standard conditions (STP, NTP, or SATP) mentioned absence consistency over multiple sites/books. Typical claims: A mole that gas occupies,$pu22.4 L$ in ~ STP$pu22.4 L$ at NTP$pu22.4 L$ in ~ SATP$pu22.4 L$ in ~ both STP and NTP
Even Chem.SE is rife with the "fact" the a mole of right gas rectal $pu22.4 L$, or some extension thereof.
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Being so completely frustrated through this situation, I chose to calculation the volumes occupied by a mole of right gas (based on the best gas equation) because that each that the three standard conditions; namely: standard Temperature and also Pressure (STP), regular Temperature and also Pressure (NTP) and Standard approximately Temperature and also Pressure (SATP).
Knowing that,STP: $pu0 ^circ C$ and also $pu1 bar$NTP: $pu20 ^circ C$ and also $pu1 atm$SATP: $pu25 ^circ C$ and also $pu1 bar$
And using the equation, $$V = frac nRTP,$$where $n = pu1 mol$, by default (since we"re talking around one mole of gas).
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I"ll draw proper values that the gas constant $R$ from this Wikipedia table:
The volume lived in by a mole of gas should 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 gained $$V = pu22.698475 L,$$ which to a reasonable approximation, gives$$V = pu22.7 L.$$
At NTPeginalignT &= pu293.0 K,&P &= pu1 atm,&R &= pu8.2057338 imes 10^-2 together atm K^-1 mol^-1.endalignPlugging in every the values, I gained $$V = pu24.04280003 L,$$ which come a reasonable approximation, provides $$V = pu24 L.$$
At SATPeginalignT &= pu298.0 K,&P &= pu1 bar,&R &= pu8.3144598 imes 10^-2 together bar K^-1 mol^-1.endalignPlugging in every the values, I got $$V = pu24.7770902 L,$$ which come a reasonable approximation, gives $$V = pu24.8 L.$$
Nowhere go the wonder "$pu22.4 L$" figure in the three cases I"ve analyzed appear. Since I"ve viewed the "one mole rectal $pu22.4 L$ in ~ STP/NTP" dictum so many times, I"m wondering if I"ve 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 so widespread, in spite of not gift close (enough) to the worths that ns obtained?