Determine the numerical value of ‘R’ in L-atm unit.

Liter-atmosphere unit: In this system, pressure is expressed in atmosphere and me is expressed in liter. At S.T.P. the volume of one mole of any gas is 22.4L & pressure 1 atm.

Hence,   P = 1 atm

V = 22.4 L

T = 273K

n  =  1 mol

From the ideal gas equation,

(ii) Determine the numerical value of  ‘R’ in SI unit.

Ans.: S.I. unit: In this system, pressure is expressed in Pascal (Pa/Nm-2) and volume is expressed in cubic meter (m3)

Hence,   P = 101325 Nm-2

V = 0.0224 m3

T = 273K

n  =  1 mol

From the ideal gas equation,

(iii) Determine the numerical value of ‘R’ in C.G.S. unit.

Ans.: C.G.S unit: In this system, pressure is expressed in dyne cm-2 and volume is expressed in cubic cm (cm3)

Hence,   P = hρg

= 76 cm ⨯ 13.6 gcm-3⨯ 981 cms-2

= (76 ⨯ 13.6 ⨯ 981) gcms-2  cm-2

= (76 ⨯ 13.6 ⨯ 981) dyne cm-2      [1gcms-2  =  1 dyne]

= 1013961.6 dyne cm-2

V = 22400 cm3

T = 273K

n  =  1 mol

From the ideal gas equation,

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