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Multiple Choice
Zeatin, a plant hormone, is known to have 5 nitrogen atoms in every molecule. Nitrogen makes up 33.8% of the mass of the molecule. What is the mass of one molecule in amu?
A
41.4 amu
B
23.7 amu
C
207 amu
D
70.0 amu
Verified step by step guidance
1
Identify the number of nitrogen atoms in one molecule of zeatin, which is given as 5.
Determine the atomic mass of a single nitrogen atom, which is approximately 14.01 amu.
Calculate the total mass of nitrogen in one molecule of zeatin by multiplying the number of nitrogen atoms by the atomic mass of nitrogen: \(5 \times 14.01\) amu.
Use the given percentage of nitrogen by mass (33.8%) to set up the equation: \(\frac{\text{mass of nitrogen in zeatin}}{\text{total mass of zeatin}} = 0.338\).
Solve for the total mass of one molecule of zeatin by rearranging the equation: \(\text{total mass of zeatin} = \frac{\text{mass of nitrogen in zeatin}}{0.338}\).