How to compare the nuclear density of different elements if mass number and atomic number are given?

Asked by poojakamde3 | 8th Oct, 2017, 11:04: AM

Expert Answer:

  1. For finding density we need mass and volume of nucleus. 
  2. Mass number is given as 55.85u (this is mass number of iron nucleus) here "u" is atomic mass unit. And 1u = 1.660539 x 10-27 Kg . 
  3. Multiply 55.85 and 1.660539 x 10-27 you will get mass of iron nucleus in Kg.
  4. Volume of sphere (nucleus is sphere) is given by begin mathsize 12px style 4 over 3 cross times straight pi cross times straight R cubed end style .Here, begin mathsize 12px style straight R equals straight R subscript straight o cross times straight A to the power of 1 third end exponent end style , begin mathsize 12px style straight R subscript straight o space equals space 1.2 space cross times space 10 to the power of negative 15 end exponent space straight m end style  and A is atomic number.
  5. Find the volume and use the formula for density as  begin mathsize 12px style density equals mass over volume end style
  6. Use same method for nucleus of any other element and see which nucleus have more density and which ones less. In this way you can compare nuclear density of different elements.

Answered by Abhijeet Mishra | 8th Dec, 2017, 06:13: PM