What’s the mass percent of each element in Penicillin G (C16H18N2O4S)???

I’m kinda confused on this one aspect of chemistry and how to exactly get the answer.

I’m kinda confused on this one aspect of chemistry and how to exactly get the answer.

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zhirou Share
Feb 11, 2018

Answer:

Carbon: #57.47%#
Hydrogen: #5.43%#
Nitrogen: #8.38%#
Oxygen: #19.14%#
Sulfur: #9.59%#

Explanation:

The mass percent of an element in a compound is basically this: Given any amount of a compound, what percentage of mass will that element take up?

We can find that using this formula:

#"Mass percent" = "Mass of element"/"Mass of compound"#

Let's say the amount of penicillin G is #1# mole.
The mass of that would be:

#C_16H_18N_2O_4S = 16xxC + 18xxH + 2xxN + 4xxO + S#
#"= 16"xx12.01 + 18xx1.008 + 2xx14.01 + 4xx16.00 + 32.06#
#"= 334.384 g/mol"#

If there's #1# mole of penicillin G, there must be #16# moles of carbon because #C# has a subscript of #16# in #C_16H_18N_2O_4S#.

That means that the mass of carbon is:

#16xxC = 16xx12.01 = 192.16#

With this, we can find the mass percent of carbon in penicillin G.

#"Mass of element"/"Mass of compound" = 192.16 / 334.384 = 0.5747 = 57.47%#

We can use the same method to figure out the mass percents of the other elements in penicillin G:

  • Hydrogen is #(18xx1.008) / 334.384 = 0.0543 = 5.43%#.
  • Nitrogen is #(2xx14.01) / 334.384 = 0.0838 = 8.38%#.
  • Oxygen is #(4xx16.00) / 334.384 = 0.1914 = 19.14%#.
  • Sulfur is #(1xx32.06) / 334.384 = 0.0959 = 9.59%#.

To confirm this, we can add these up; if our calculations were correct, they should add up to #100%#.

#57.47% + 5.43% + 8.38% + 19.14% + 9.59% = 100%#

Yay! :)

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anor277 Share
Feb 11, 2018

Answer:

Divide the mass of the element present by the molecular mass, and multiply this by one hundred percent....

Explanation:

We gots...#C_16H_18N_2O_4S#, whose molecular mass is #334.39*g*mol^-1#...

And so #%C=(16xx12.011*g*mol^-1)/(334.39*g*mol^-1)xx100%=57.5%#

#%H, %N, %O, %S# are...???

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