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.

Specific heat of oxygen at a constant pressure is 0.2174 kcal/kg K. If

1.	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.
Answer» Solution :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"` .