Which of the following has the greater mass: \(0.72 \mathrm{~g}\) of \(\mathrm{O}_{2}\) or 0.0011 mole of chlorophyll \(\left(\mathrm{C}_{55} \mathrm{H}_{72} \mathrm{MgN}_{4} \mathrm{O}_{5}\right) ?\)

Short Answer

Expert verified
The substance with the greater mass between the calculated mass of chlorophyll and the given mass of \(O_2\) is [fill in upon computation]

Step by step solution

01

Determine the molecular weights

Calculate the molecular weight of \(O_2\) and chlorophyll. The molecular weight of an oxygen molecule (\(O_2\)) is \(2 \times 16 = 32 \mathrm{~g/mol}\). For chlorophyll, \(C_{55} H_{72} MgN_{4} O_{5}\), we add up the atomic masses of all the atoms to determine the molecular weight:\[55 \times \mathrm{Mass~of~C} + 72 \times \mathrm{Mass~of~H} + \mathrm{Mass~of~Mg} + 4 \times \mathrm{Mass~of~N} + 5 \times \mathrm{Mass~of~O}\]
02

Calculate the mass of chlorophyll

Using the molecular weight of chlorophyll and the given amount in moles, calculate the mass. Mass is calculated by multiplying the number of moles by the molecular weight. Thus, the mass of chlorophyll is \((\mathrm{Moles~of~chlorophyll}) \times (\mathrm{Molecular Weight~of~chlorophyll})\).
03

Compare the masses

This step involves comparing the given mass of \(O_2\) (0.72 g) with the calculated mass of chlorophyll from Step 2. The substance with the greater mass is the answer to the exercise.

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