Answer to Question #96538 in Organic Chemistry for Monica perez

Question #96538
Calculate the number of sulfur atoms of 150 g in the antibiotic cefdinir
1
Expert's answer
2019-10-15T08:36:04-0400

Molecular formular of cefdinir is C14H13N5O5S2C_{14}H_{13}N_5O_5S_2

Mollar mass = 395.4gmol395.4 \frac{g}{mol}

n(cefdinir)=mM=150g395.4gmol=0.379moln(cefdinir)=\frac{m}{M} = \frac{150 g}{395.4\frac{g}{mol}}=0.379 mol

As one molecule of sefdinir contains 2 atoms of S then n(S)= 2*0.379 mol = 0.758 mol


N(S)=n(S)×NA=0.758×6.022×1023=4.57×1023atomsN(S)=n(S)\times N_A= 0.758\times 6.022\times 10^{23} = 4.57\times 10^{23 }atoms


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