Specific heat of oxygen at a constant pressure is 0.2174 kcal/kg K. If the ratio of its specific heat is 1.4,find the universal gas constant given that J=4200J/kcal and molecular weight of oxygen is 32.

Explanation

We have seen that `C_(p)=(gammaR)/(gamma-1)`
`C_(p)`=Molar heat capacity at constant pressure=Principal specific heat at constant pressure `xx` Molecular weight.
As specific heat of oxygen at constant pressure is given on kcal//kg K. we have to convert it into J/kg K
`C_(p)=0.2174xx4200xx32 J/"Kmole"`
`K=(gammaR)/(gamma-1) = (1.4R)/((1.4-1))`
`R=(0.2174xx4200xx32xx0.4)/(1.4) = 8348J/"kmoleK"` .