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Organic Chemistry 1

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Moderate

Molecular Formula from Exact Mass

ORGO1-4PPPU4

The exact mass of the protonated molecular ion (${(M+H)}^{+}$) of a compound was accurately determined to be 296.1648 with a high-resolution electrospray ionization mass spectrometer.

What is its molecular formula?

The exact masses of relevant atoms are $^{12}C$: 12.0000, $^{1}H$: 1.0078, $^{14}N$: 14.0031, and $^{16}O$: 15.9949.

A

${C}_{18}{H}_{21}{N}_{3}O$

B

${C}_{19}{H}_{21}N{O}_{2}$

C

${C}_{19}{H}_{22}{N}_{2}O$

D

${C}_{20}{H}_{22}{O}_{2}$