Final answer:
To find the number of molecules in 1.4 mg of penicillin tablets, divide the mass by the molar mass and then multiply by Avogadro's number.
Step-by-step explanation:
To find the number of molecules in 1.4 mg of penicillin tablets, we need to convert the mass of penicillin to moles by dividing by the molar mass. The molar mass of penicillin is 334.4 g/mol.
Number of moles of penicillin = 1.4 mg / 334.4 g/mol = 4.18 x 10-6 mol.
Now, we can use Avogadro's number to convert the moles of penicillin to molecules:
Number of molecules = 4.18 x 10-6 mol * 6.022 x 1023 molecules/mol = 2.517 x 1018 molecules.