Question in the description, can you please explain how you got the answer, thank you

Question

Nasal decongestant contains the active ingredient phenylephrine hydrochloride (C₉H₁₄ClNO₂) which has the molecular weight of 203.69 g/mol. There are typically 24 pills in a bottle. SHOW YOUR WORK!

(A) If each tablet contains 10 grams of phenylephrine hydrochloride, how many moles of phenylephrine hydrochloride are in the bottle?

(B) How many molecules of phenylephrine hydrochloride are in the bottle?

(C) What is the total mass of nitrite (NO₂) in the phenylephrine hydrochloride?

Answer 1

(A) Important information:

1. Molar mass of the active ingredient is 203.69 g/mol
2. There are 10 grams of the active ingredient per pill
3. There are 24 pills per bottle

Step 1: find the number of moles in 10 grams of the ingredient. You do this by dividing 10 grams by the molar mass of the compound:

10 grams (1mol/203.69grams) = 0.049094 mol per pill

Step 2: Multiply by 24pills to get the number of moles in the whole bottle.

0.049094 mol/pill (24 pill/bottle) = 1.1783 mol per bottle

(B) To convert from moles to molecules we use Avogadro's number: 1 mole of any substance = 6.022 X 10²³ molecules. Multiply this number by the number of moles from part A to get the number of molecules.

1.1783mol/bottle (6.022 X 10²³ molecules/mol) = 7.096 x 10²³ molecules per bottle

(C) First find the molar mass of NO₂.

Molar mass of NO₂ = 14.007 + 2(15.999) = 46.005g/mol

Because there is one mol of NO₂ in each mol of the compound, the number of moles in the bottle is the same as the moles of NO₂ (1.1783 mol). Multiply the number of moles by the molar mass of NO₂ to get the total mass:

1.1783 mol (46.005g/mol) = 54.208 grams of NO₂