Identify the pair of substances having the same formula unit mass.

Calcium chloride, potassium carbonate

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Calcium oxide, hydrochloric acid

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Carbon monoxide, ammonia

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Carbon dioxide, nitrous oxide

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Solution

The correct option is D Carbon dioxide, nitrous oxide
Carbon dioxide and nitrous oxide have the same formula unit mass.
Formula unit mass for carbon dioxide $C O_{2} = 12 + 2 (16) = 12 + 32 = 44 u$
Formula unit mass for nitrous oxide $N_{2} O = 2 (14) + 16 = 28 + 16 = 44 u$
Let's look at the formula unit mass of the other given compounds:
Formula unit mass for calcium chloride $C a C l_{2} = 40 + 2 (35.5) = 40 + 71 = 111 u$
Formula unit mass for potassium carbonate $K_{2} C O_{3} = 2 (39) + 12 + 3 (16) = 78 + 12 + 48 = 138 u$
Formula unit mass for calcium oxide $C a O = 40 + 16 = 56 u$
Formula unit mass for hydrochloric acid $H C l = 1 + 35.5 = 36.5 u$
Formula unit mass for carbon monoxide $C O = 12 + 16 = 28 u$
Formula unit mass for ammonia $N H_{3} = 14 + 3 (1) = 17 u$

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