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Chapter 3: Problem 51

Selective serotonin reuptake inhibitors (SSRIs) are a common prescribed antidepressant. SSRIs block the reabsorption of the neurotransmitter serotonin in the brain. Changing the balance of serotonin helps brain cells send and receive chemical messages, which in turn boosts mood. Two SSRI medications are Prozac (fluoxetine, $\mathrm{C}_{17} \mathrm{H}_{18} \mathrm{F}_{3} \mathrm{NO} )$ and Zoloft (sertraline, \(\mathrm{C}_{17} \mathrm{H}_{17} \mathrm{Cl}_{2} \mathrm{N} )\) . Determine the molar masses of Prozac and Zoloft.

Short Answer

Expert verified
The molar masses of Prozac (fluoxetine) and Zoloft (sertraline) are approximately 309.32 g/mol and 306.22 g/mol, respectively.

Step by step solution

01

Find the molar masses of individual elements in each compound

First, list the elements and their molar masses present in each compound. C: Carbon, 12.01 g/mol H: Hydrogen, 1.008 g/mol F: Fluorine, 19.00 g/mol N: Nitrogen, 14.01 g/mol O: Oxygen, 16.00 g/mol Cl: Chlorine, 35.45 g/mol
02

Determine the molar mass of Prozac (fluoxetine, \(\mathrm{C}_{17} \mathrm{H}_{18} \mathrm{F}_{3}\mathrm{NO}\))

Multiply the molar masses of the individual elements by the number of each element in the Prozac formula, then add up the masses: Molar mass of Prozac = (17 × 12.01) g/mol of C + (18 × 1.008) g/mol of H + (3 × 19.00) g/mol of F + (1 × 14.01) g/mol of N + (1 × 16.00) g/mol of O
03

Calculate the molar mass of Prozac

Now, calculate the molar mass using numbers: Molar mass of Prozac = (17 × 12.01) + (18 × 1.008) + (3 × 19.00) + 14.01 + 16.00 = 204.17 + 18.144 + 57.00 + 14.01 + 16.00 = 309.324 g/mol The molar mass of Prozac is approximately 309.32 g/mol.
04

Determine the molar mass of Zoloft (sertraline, \(\mathrm{C}_{17} \mathrm{H}_{17} \mathrm{Cl}_{2} \mathrm{N}\) )

Multiply the molar masses of the individual elements by the number of each element in the Zoloft formula, then add up the masses: Molar mass of Zoloft = (17 × 12.01) g/mol of C + (17 × 1.008) g/mol of H + (2 × 35.45) g/mol of Cl + (1 × 14.01) g/mol of N
05

Calculate the molar mass of Zoloft

Now, calculate the molar mass using numbers: Molar mass of Zoloft = (17 × 12.01) + (17 × 1.008) + (2 × 35.45) + 14.01 = 204.17 + 17.136 + 70.90 + 14.01 = 306.216 g/mol The molar mass of Zoloft is approximately 306.22 g/mol. In conclusion, the molar masses of Prozac and Zoloft are approximately 309.32 g/mol and 306.22 g/mol, respectively.

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