Question

Consider a mixture of 10 billion 02 molecules and 10 billion H2 molecules. In what way is this mixture similar to a sample containing 10 billion hydrogen peroxide (H202) molecules? In what way is it different?

Answer 1

Explanation:

Number of oxygen molecules = 10 billion = $10^9$

Number of hydrogen molecules = 10 billion = $10^9$

Number of molecules of hydrogen peroxides = 10 billion = $10^9$

Moles of oxygen gas :$n_{o_2}$

$\frac{10^9}{N_A}=\frac{10^9}{6.022\times 10^{23} mol^{-1}}=1.6605\times 10^{-15} mol$

Moles of hydrogen gas :$n_{H_2}$

$\frac{10^9}{N_A}=\frac{10^9}{6.022\times 10^{23}mol^{-1}}=1.6605\times 10^{-15} mol$

$n_{O_2}=n_{H_2}$

Moles of hydrogen gas :$n_{H_2O_2}$

$\frac{10^9}{N_A}=\frac{10^9}{6.022\times 10^{23}mol^{-1}}}=1.6605\times 10^{-15} mol$

$n_{O_2}=n_{H_2}-n_{H_2O_2}$

Number of moles in hydrogen gas, oxygen gas and hydrogen peroxide is same.

Total number of atoms in $10^6$ molecules of oxygen:

$2\times 10^6$ (2 atoms in 1 molecule)

Total number of atoms in $10^6$ molecules of hydroegn :

$2\times 10^6$(2 atoms in 1 molecule)

Total number of atoms in $10^6$ molecules of hydrogen peroxide:

$4\times 10^6$ (4 atoms in 1 molecule)

Number of oxygen atoms and number of hydrogen atoms are equal but individually they are not equal to number of atoms in hydrogen peroxide.