Answer to Question #143608 in Molecular Physics | Thermodynamics for Nicodemus Mwendwa

Question

Determine the value of the molar gas constant R, given that the value of one kilomole of all gases at s.t.p is 22.4m³

Answer 1

One kilomole = 10³ mole

So, number of moles, n = 10³ mole

s.t.p means standard temperature and pressure

I.e. temperature T = 273K

         Pressure = 1 atm

So, P = 101325 N/m²

         Volume, V = 22.4m³

  

                          

We know that the ideal gas equation,

                            PV=nRT

                       Or, R= PV/nT

                       

Putting the values of n, T, P and V in the above equation

    R=(101325×22.4 m³)/(10³ mole×273K)

       = 8.314 J.K^–1.mol^–1

Hence, the value of the molar gas constant

            R = 8.314 J.K^–1.mol^–1