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Penicillin N is an antibacterial agent that contains 8.92% sulphur by mass.Which could be the molar mass of Penicillin N? a)256g/mol b)360g/mol. c)390g/mol d)743g/mol. Please anybody help me to solve this question ......

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PBCHEM
Answer : Option B) 360 g/mol

Explanation : The antibacterial agent Penicillin N contains 8.92% of sulfur by mass. So we have to calculate the molar mass of penicillin N will be as 

i) 256 X 0.0892 = 22.83 g/mol this cannot be the answer as it doesn't shows any sign of sulfur being present even in 1 mole.

ii) 360 X 0.0892 = 32.112 g/mol This is the closest to the molar mass of sulfur which is 32.06 g/mol; this means it contains 1 mole of sulfur.

iii) 390 X 0.0892 = 34.78 g/mol this also fails to prove the answer as correct.

iv) 743 X 0.0892 = 66.27 g/mol This is not even falling in the range of sulfur mole.

Hence we can confirm that the answer is Option B


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