If 1 g of contains x atoms, what will be the number of atoms in 1 g of magnesium? (C=12 u, Mg= 24 u)

Asked by gspublicschool | 22nd Oct, 2019, 10:00: AM

Expert Answer:

Given: 
1 g of carbon contains x atoms   ......... (1)
 
1 mole of carbon = gram molecular mass of carbon = 12 gms
i.e., 12 gms of Carbon = 1 mole
 
therefore comma space 1 space gm space of space carbon space equals space 1 over 12 space moles ...........(2)
From (1) and (2) we get,
 
therefore comma space 1 space gm space of space carbon space equals space 1 over 12 space moles space equals space straight x space space atoms
 
As given we have to find out the number of atoms in 1 gm of Mg,
 
1 mole of Mg = 24 gm ..... ( mass no. of Mg = 24)
 
therefore comma space 1 space gm space of space space Magnesium space equals space 1 over 24 space moles ...... (3) 
In order to find the number of atoms of Mg in 1 g, lets solve (2) and (3)
 
therefore comma space 1 space gm space of space space Magnesium space equals space 1 over 24 space moles space equals space fraction numerator straight x space cross times 12 over denominator 24 end fraction space equals space straight x over 2 space atoms 
 

Answered by Ramandeep | 22nd Oct, 2019, 04:29: PM

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