The active ingredient in the allergy medication Claritin contains carbon (C), hydrogen (H), chlorine (Cl), nitrogen (N), and oxygen (O). Its molecular formula is C22H23ClN2O2. The standard adult dosage utilizes 1.480 1019 molecules of this species. Determine the mass (in grams) of the active ingredient in the standard dosage.

The molecular mass of the active ingredient is:

22(12.011) + 23(1.00794) + 35.453 + 2(14.0067) + 2(15.9994)= 382.88982u

Please tell me where do I go from here.

There are 6.022E23 molecules in 382.89 grams of this substance. A proportion should solve the problem for you. Is that a period between 1 and 4. Check the problem. I don't know how you will get 1.480 molecules. That is a VERY small number. And how will you divide a molecule so you can get exactly 1.480 of them?

Sorry that was my mistake. The correct number is 1.480 x 10^19.

That's much better. The method for any number however, is the same.

Thanks!

To calculate the mass of the active ingredient in the standard dosage, you need to use the molecular mass of the active ingredient and the number of molecules in the standard dosage.

The mass of the active ingredient in the standard dosage is:

(1.480 x 10^19 molecules) x (382.88982u/6.022E23 molecules) = 0.945 grams

To determine the mass of the active ingredient in the standard dosage of Claritin, you can use the following proportion:

1 mole of substance = molecular mass in grams
1 mole = 6.022 x 10^23 molecules

First, calculate the number of moles in the standard dosage:

1.480 x 10^19 molecules x (1 mole / 6.022 x 10^23 molecules) = 2.455 x 10^-5 moles

Next, use the molecular mass of the active ingredient to calculate the mass in grams:

2.455 x 10^-5 moles x 382.88982 grams/mole = 0.009403 grams

Therefore, the mass of the active ingredient in the standard dosage of Claritin is approximately 0.009403 grams.

No problem! To find the mass of the active ingredient in the standard dosage of Claritin, you can use the following proportion:

Number of molecules in the standard dosage / Avogadro's number = Mass of active ingredient / Molecular mass of the active ingredient

First, convert the given number of molecules in the standard dosage (1.480 x 10^19 molecules) to moles by dividing it by Avogadro's number (6.022 x 10^23 molecules/mole):

1.480 x 10^19 molecules / (6.022 x 10^23 molecules/mole) = 2.457 x 10^-5 moles

Then, use the molecular mass of the active ingredient (382.88982 g/mole) to find the mass:

2.457 x 10^-5 moles x 382.88982 g/mole = 0.0094 grams

Therefore, the mass of the active ingredient in the standard dosage of Claritin is 0.0094 grams.