Question
Question: Which of the following contain the maximum number of atoms and why. (A) 4g \( {H_2} \) (B) 16g ...
Which of the following contain the maximum number of atoms and why.
(A) 4g H2
(B) 16g O2
(C) 28g of N2
(D) 18g of H2O
Solution
Hint : In chemistry irrespective of type of elements one mole of any of the elements contains the same number of atoms. The actual number of atoms present in 1 mole is described in the term of Avogadro number.
Avogadro number or Avogadro constant is symbolized by NA .
Value of the Avogadro number is always constant 6.022×1023 atoms.
Complete Step By Step Answer:
To calculate the number of atoms present in 4g of H2 , first we calculate the number of moles of hydrogen present in 4g .
As we know mole is calculated by ratio of mass of given compound to the molecular mass of compound.
Given mass of element is 4g and molecular mass of hydrogen is 2g
m=24
m=2
Hence 4g of hydrogen contains 2 mole of hydrogen.
We already know that 1mole=6.022×1023 atoms
Hence, 4g of hydrogen contains 6.022×1023×2 of atoms.
4g of hydrogen contains 12.044×1023 atoms.
To calculate the number of atoms present in 16g of O2 , first we calculate the number of moles of oxygen present in 16g .
As we know mole is calculated by ratio of mass of given compound to the molecular mass of compound.
Given mass of element is 16g and molecular mass of oxygen is 32g
m=3216
m=0.5
Hence 16g of oxygen contains 0.5 mole of oxygen.
We already know that 1mole=6.022×1023
Hence, 16g of oxygen contains 6.022×1023×0.5 of atoms.
16g of oxygen contains 3.011×1023 atoms.
To calculate the number of atoms present in 28g of nitrogen, first we calculate the number of moles of nitrogen present in 28g .
As we know mole is calculated by ratio of mass of given compound to the molecular mass of compound.
Given mass of element is 28g and molecular mass of nitrogen is 28g
m=2828
m=1
Hence 28g of nitrogen contains 1 moles of nitrogen.
We already know that 1mole=6.022×1023 atoms.
Hence, 28g of nitrogen contains =6.022×1023 of atoms.
To calculate the number of atoms present in 18g of water, first we calculate the number of moles of water present in 18g .
As we know, mole is calculated by the ratio of mass of a given compound to the molecular mass of a compound.
Given mass of element is 18g and molecular mass of water is 18g
m=1818
m=1
Hence 18g of water contains 1 mole of water.
We already know that 1mole=6.022×1023 atoms.
Hence, 18g of water contains 6.022×1023 of atoms.
From the above calculation we find that 4g of hydrogen contains the maximum number of atoms 12.044×1023 atoms.
Hence, option (i) is correct.
Note :
Remember to convert the weight of elements into moles before calculating the number of atoms in it. One mole of hydrogen contains two atoms of hydrogen, so the molecular mass of hydrogen is considered as 2g instead of 1g . Consider the atomic mass or molecular mass of any element in grams instead of amu to obtain the mole with no unit.