1 gram H / 1 atomic mass unit (grams ) What is wrong with the math here ?

Click For Summary
SUMMARY

The discussion centers on the conversion error between atomic mass units (AMU) and grams, specifically regarding the calculation of Avogadro's number. One atomic mass unit is definitively established as 1.660565 x 10-24 grams. The confusion arose from incorrectly mixing grams and kilograms, leading to an erroneous calculation of 6.02 x 1026 instead of the correct Avogadro's number, 6.02 x 1023. The correct conversion is clarified as 1 AMU = 1.66 x 10-24 grams.

PREREQUISITES
  • Understanding of atomic mass units (AMU)
  • Basic knowledge of Avogadro's number
  • Familiarity with unit conversion between grams and kilograms
  • Mathematical skills for handling scientific notation
NEXT STEPS
  • Study the concept of Avogadro's number in detail
  • Learn about unit conversions in scientific calculations
  • Explore the significance of atomic mass units in chemistry
  • Investigate common errors in dimensional analysis
USEFUL FOR

Chemistry students, educators, and anyone involved in scientific calculations that require precise unit conversions will benefit from this discussion.

morrobay
Gold Member
Messages
1,144
Reaction score
1,811
One atomic mass unit = .001660565 x 10-24 grams
One gram Hydrogen / .001660565 x10-24 grams = 6.02 x 10 26 ?

This should be Avogadros number 6.02 x 1023
what is the mistake here ?
 
Chemistry news on Phys.org
It appears you're mixing grams and kilograms. 1 AMU = 1.6x10^-24 g = 1.6x10-27 kg.
 
phyzguy said:
It appears you're mixing grams and kilograms. 1 AMU = 1.6x10^-24 g = 1.6x10-27 kg.

Thanks , right, I moved the decimal in the wrong direction when converting kg to g
1 amu = 1.66 x 10-27 kg = 1660 x 10 -27 grams
= 1.66 x 10-24 grams
 
Last edited:

Similar threads

  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 24 ·
Replies
24
Views
6K
  • · Replies 29 ·
Replies
29
Views
8K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
Replies
5
Views
6K