Chemistry: Sugar Molecules

A sugar molecule has twice
as many atoms of hydrogen as it does oxygen and one more
atom of carbon than oxygen. If a sugar molecule has a
total of 45 atoms, how many are oxygen? How many are
hydrogen?

Jhun Vert's picture

$H$ = number of hydrogen atoms
$O$ = number of oxygen atoms
$C$ = number of carbon atoms
 

twice as many atoms of hydrogen as it does oxygen
$H = 2O$

$H - 2O + 0C = 0$   ←   Eq. (1)
 

one more atom of carbon than oxygen
$C - 1 = O$

$0H - O + C = 1$   ←   Eq. (2)
 

total of 45 atoms
$H + O + C = 45$   ←   Eq. (3)
 

From Equations (1), (2) and (3)
$H = 22 ~ \text{ atoms}$
 

You may find this link useful: https://www.exploratorium.edu/cooking/candy/sugar.html
 

Add new comment

Deafult Input

  • Allowed HTML tags: <img> <em> <strong> <cite> <code> <ul> <ol> <li> <dl> <dt> <dd> <sub> <sup> <blockquote> <ins> <del> <div>
  • Web page addresses and e-mail addresses turn into links automatically.
  • Lines and paragraphs break automatically.
  • Mathematics inside the configured delimiters is rendered by MathJax. The default math delimiters are $$...$$ and \[...\] for displayed mathematics, and $...$ and \(...\) for in-line mathematics.

Plain text

  • No HTML tags allowed.
  • Lines and paragraphs break automatically.