Question

A pharmaceutical company needs 5.00 moles of epinephrine (C9H13NO3) for a new EpiPen they hope to put on the market. How many grams of epinephrine will the lab need for a shipment of 30.0 Epipens to be made?

Answer 1

To find the amount of epinephrine needed for 30 EpiPens, calculate the molar mass of epinephrine and then multiply by the number of moles required per EpiPen and the total number of EpiPens.

Step-by-step explanation:

The pharmaceutical company requires 5.00 moles of epinephrine for each EpiPen. To calculate the mass of epinephrine needed for 30 EpiPens, we must first determine the molar mass of epinephrine (C9H13NO3). The molar mass is calculated by summing the atomic masses of each element in the molecule:

C (12.01 g/mol) × 9 + H (1.008 g/mol) × 13 + N (14.01 g/mol) × 1 + O (16.00 g/mol) × 3 = 183.21 g/mol.

Now, we multiply the molar mass by the total moles needed:

5.00 moles × 183.21 g/mol = 916.05 grams per EpiPen.

For 30 EpiPens, we multiply:

916.05 grams × 30 = 27481.5 grams of epinephrine in total.

Therefore, the lab will need 27481.5 grams of epinephrine for a shipment of 30 EpiPens.