Question

One molecule of the antibiotic known as penicillin g has a mass of 5.553×10−22g. what is the molar mass of penicillin g?

Answer 1

Molar mass means the mass of one mole of penicillin.

Now, one mole of penicillin contains 6.022 x 10^23 molecules (That's Avogadro's number).

Therefore:
molar mass of penicillin = mass of 6.022 x 10^23 molecules
molar mass of penicillin = mass of one molecule x 6.022 x 10^23
molar mass of penicillin = 5.553 x 10^-22 x 6.022 x 10^23
                                      = 334.40166 grams

Answer 2

The molar mass of penicillin g is 334.4 g/mol.

FURTHER EXPLANATION

Molar mass is the mass of one mole of a substance. One mole of a substance contains 6.022 × 10²³ representative particles (molecules, formula units, ions, atoms, etc.). The following conversion factors may be used:

• 1 molecule = 5.553 ×10⁻²² g
• 1 mole = 6.022 × 10²³ representative particles (molecules)

The mass of one mole of penicillin g will be equal to the mass of 6.022 × 10²³ molecules of penicillin g. Using dimensional analysis this can be determined by setting up the equation as follows:

$mass \ of \ 1 \ mole\ of \ penicillin \ g \ = 6.022 \ \times 10^{23} \ molecules \times \frac{5.553 \times 10^{-22} \ g}{1 \ molecule}\\\\\boxed {mass \ of \ 1 \ mole \ of \ penicillin \g \ = 334.402 \ g}$

Since the given has 4 significant figures, the final answer must also have the same number of significant figures. Therefore,

$\boxed {\boxed {molar \ mass \ of \ penicillin \ g = 334.4 \ g}}$

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LEARN MORE

1. Learn more about Mole Conversion  brainly.com/question/12980009
2. Learn more about Stoichiometry brainly.com/question/4867681
3. Learn more about Dimensional Analysis brainly.com/question/1594497

Keywords: molar mass, Avogadro's number, conversion