What does the Constant R in the Ideal Gas Law mean?

2 Answers

Answer:

Regnault constant, or Universal Gas Constant.

Explanation:

Gas constant, R, is named after the French chemist Henri Victor Regnault. It is also called the Universal Gas Constant.

Gas constant is equivalent to Boltzmann constant #k_B# multiplied by Avogadro's number #N_A = 6.0221413xx10^23# #"things"cdot"mol"^(-1)#, expressed in terms of energy.

There are many values of R depending on the units used.

Here are some examples:

#"8.314 J"cdot"K"^[-1]"mol"^[−1]#
#8.314xx10^7# #"erg"cdot"K"^[−1]"mol"^[−1]#
#8.314xx10^[−3]# #"amu" cdot["km"^2]/"s"^2"K"^[−1]#
#8.314# #"L"cdot"kPa"cdot"K"^[−1]"mol"^[−1]#
#8.314xx10^[−5]# #"m"^3 "bar"cdot"K"^[−1]"mol"^[−1]#
#8.314xx10^[−2]# #"L" "bar"cdot"K"^[−1] "mol"^[−1]"#
#62.36# #"L"cdot"Torr"cdot"K"^[−1]"mol"^[−1]#
#0.08206# #"L"cdot"atm"cdot"K"^[−1]"mol"^[−1]#

Jan 20, 2016

Answer:

R can be viewed as a scaling factor for molar energy of ideal gas law. For ideal gas law, energy can be viewed as increasing linearly with temperature. #E=alphaT#

Explanation:

Through derivation. it was shown that for one-dimension, #E=1/2 RT# while for 3 dimension #E=3/2 RT#
The above is for 1 mole of ideal gas. For 1 molecule of gas, we know that #R=N_{A} k#
So 1 molecule of ideal gas moving in 3 dimension is #E=3/2 kT#
You can equate the kinetic energy of the molecule #E=1/2 m v^2# to previous equation and get
#E=3/2 kT= 1/2 m v^2#

Read more
http://homepage.smc.edu/gallogly_ethan/files/ideal%20gas%20law%20derivation.pdf

https://en.wikipedia.org/wiki/KT_(energy)