Let the mass of CaO = x grams
So mass of BaO = 5.14 -x grams
moles of CaO = mass / molar mass = x / 56
Moles of BaO = mass / molar mass = 5.14-x / 153
initial moles of CO2 = PV / RT = 750 X 1.50 / 760 X 0.0821 X 303 = 0.06
final mole sof CO2 = PV / RT = 230 X 1.50 / 760 X 0.0821 X 303 = 0.018
So moles of BaCO3 and CaCO3 formed = 0.06 - 0.018 = 0.042 moles
x / 56 + (5.14-x) /153 = 0.042
on solving
x = 0.68
So mass of CaO = 0.68 g
So percentage of CaO = 0.68 X 100 / 5.14 = 13.4 %
Percentage of BaO = 86.6%