Calculate the molar mass of the following compounds. Show your work.
Water, H2O
carbon dioxide, CO2
sodium chloride, NaCl
calcium hydroxide, Ca(OH)2
potassium permanganate, KMnO4
Solution:
M - molar mass
Ar - standard atomic weight
1) Water, H2O:
M(H2O) = 2×Ar(H) + Ar(O) = 2×1.00784 + 15.999 = 18.01468 = 18.015
M(H2O) = 18.015 g/mol
2) Carbon dioxide, CO2:
M(CO2) = Ar(C) + 2×Ar(O) = 12.0107 + 2×15.999 = 44.0087 = 44.009
M(CO2) = 44.009 g/mol
3) Sodium chloride, NaCl:
M(NaCl) = Ar(Na) + Ar(Cl) = 22.9898 + 35.453 = 58.4428 = 58.443
M(NaCl) = 58.443 g/mol
4) Calcium hydroxide, Ca(OH)2:
Ca(OH)2 = CaO2H2
M(Ca(OH)2) = Ar(Ca) + 2×Ar(O) + 2×Ar(H) = 40.078 + 2×15.999 + 2×1.00784 = 74.092
M(Ca(OH)2) = 74.092 g/mol
5) Potassium permanganate, KMnO4:
M(KMnO4) = Ar(K) + Ar(Mn) + 4×Ar(O) = 39.0983 + 54.938 + 4×15.999 = 158.032
M(KMnO4) = 158.032 g/mol
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