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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{H_2}
(B) 16g O2{O_2}
(C) 28g of N2{N_2}
(D) 18g of H2O{H_2}O

Explanation

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{N_A} .
Value of the Avogadro number is always constant 6.022×10236.022 \times {10^{23}} atoms.

Complete Step By Step Answer:
To calculate the number of atoms present in 4g4g of H2{H_2} , first we calculate the number of moles of hydrogen present in 4g4g .
As we know mole is calculated by ratio of mass of given compound to the molecular mass of compound.
Given mass of element is 4g4g and molecular mass of hydrogen is 2g2g
m=42m = \dfrac{4}{2}
m=2m = 2
Hence 4g4g of hydrogen contains 22 mole of hydrogen.
We already know that 1mole=6.022×10231mole = 6.022 \times {10^{23}} atoms
Hence, 4g4g of hydrogen contains 6.022×1023×26.022 \times {10^{23}} \times 2 of atoms.
4g4g of hydrogen contains 12.044×102312.044 \times {10^{23}} atoms.
To calculate the number of atoms present in 16g16g of O2{O_2} , first we calculate the number of moles of oxygen present in 16g16g .
As we know mole is calculated by ratio of mass of given compound to the molecular mass of compound.
Given mass of element is 16g16g and molecular mass of oxygen is 32g32g
m=1632m = \dfrac{{16}}{{32}}
m=0.5m = 0.5
Hence 16g16g of oxygen contains 0.50.5 mole of oxygen.
We already know that 1mole=6.022×10231mole = 6.022 \times {10^{23}}
Hence, 16g16g of oxygen contains 6.022×1023×0.56.022 \times {10^{23}} \times 0.5 of atoms.
16g16g of oxygen contains 3.011×10233.011 \times {10^{23}} atoms.
To calculate the number of atoms present in 28g28g of nitrogen, first we calculate the number of moles of nitrogen present in 28g28g .
As we know mole is calculated by ratio of mass of given compound to the molecular mass of compound.
Given mass of element is 28g28g and molecular mass of nitrogen is 28g28g
m=2828m = \dfrac{{28}}{{28}}
m=1m = 1
Hence 28g28g of nitrogen contains 11 moles of nitrogen.
We already know that 1mole=6.022×10231mole = 6.022 \times {10^{23}} atoms.
Hence, 28g28g of nitrogen contains =6.022×1023= 6.022 \times {10^{23}} of atoms.
To calculate the number of atoms present in 18g18g of water, first we calculate the number of moles of water present in 18g18g .
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 18g18g and molecular mass of water is 18g18g
m=1818m = \dfrac{{18}}{{18}}
m=1m = 1
Hence 18g18g of water contains 11 mole of water.
We already know that 1mole=6.022×10231mole = 6.022 \times {10^{23}} atoms.
Hence, 18g18g of water contains 6.022×10236.022 \times {10^{23}} of atoms.
From the above calculation we find that 4g4g of hydrogen contains the maximum number of atoms 12.044×102312.044 \times {10^{23}} atoms.
Hence, option (i)\left( i \right) 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 2g2g instead of 1g1g . Consider the atomic mass or molecular mass of any element in grams instead of amu to obtain the mole with no unit.