Grade 12Mechanics
What is the SI unit of gas constant? And what is its CGS unit?Write in different lines.
What is the SI unit of gas constant? And what is its CGS unit?Write in different lines.
1 Answer
Arun
Approved Tutor Answer8 Years ago- Value of R in M.K.S. System
According to Avogadro’s law, the volume of one mole of a gas at NTP is 22.4 litre. Standard temperature & pressure at N.T.P. are 00C & one atmosphere
P=1 atm.
V=22.4 l
n= 1 mole.
T= 2730K
R=0.0821 litre atmosphere/degree/mole.
- Value of R. in C.G.S. System
If P is expressed in dyne/Cm2 & V in Cm3
P=1 atm = 76 cm. of Hg = 76×13.6×981 dyne/cm2
V= 22.4 litre = 22400 ml = 22400 cm3
n= 1 mole
T= 0+273 = 2730K
= 8.3 ×107 erg/degree/mole
= 8.3 Joule/degree/mole
Because one calorie is equivalent to 4.08×107erg. So
R =[ 8.3×107 erg/degree/mole × 1calorie] /( 4.08×107 erg )
= 2 calorie/degree/mole
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