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

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

1.	Specific heat of oxygen at constant pressure is 0.2174 kcal/kg K. If the ratio of its specific heats is 1.4, find the universal gas constant given that J = 4200 J/kcal and molecular weight of oxygen is 32.
Answer» <P> 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. A specific heat of oxygenat constant pressure is GIVEN in kcal/kg K. we have to convert it into J/kg K by multiplying with `J=4200` J/Kcal. `C_(p) = 0.2174 xx4200 xx 32` J/kmole `K= (gammaR)/( gamma-1) = (1.4R)/((1.4-1))` `:.R=(0.2174xx4200xx32xx0.4)/(1.4) = 8348`J/kmole K.