Step-by-step explanation:
Number of oxygen molecules = 10 billion =
![10^9](https://img.qammunity.org/2020/formulas/mathematics/middle-school/rs6ey0a0mroyybz7p4r5d07cbzfre1mnrl.png)
Number of hydrogen molecules = 10 billion =
![10^9](https://img.qammunity.org/2020/formulas/mathematics/middle-school/rs6ey0a0mroyybz7p4r5d07cbzfre1mnrl.png)
Number of molecules of hydrogen peroxides = 10 billion =
![10^9](https://img.qammunity.org/2020/formulas/mathematics/middle-school/rs6ey0a0mroyybz7p4r5d07cbzfre1mnrl.png)
Moles of oxygen gas :
![n_(o_2)](https://img.qammunity.org/2020/formulas/chemistry/college/xtbpjxi4upul1hmvir01if5y7jomaa06lx.png)
![(10^9)/(N_A)=(10^9)/(6.022* 10^(23) mol^(-1))=1.6605* 10^(-15) mol](https://img.qammunity.org/2020/formulas/chemistry/college/xek7oa27v4jklg77drvt8dllddl9slf9ia.png)
Moles of hydrogen gas :
![n_(H_2)](https://img.qammunity.org/2020/formulas/chemistry/college/5jf2far3v2vdbzn5nfxkcqio2xtie2ehm4.png)
![(10^9)/(N_A)=(10^9)/(6.022* 10^(23)mol^(-1))=1.6605* 10^(-15) mol](https://img.qammunity.org/2020/formulas/chemistry/college/cl3ryunerjf5yk4ym4t4p2x60u3jcdmo79.png)
![n_(O_2)=n_(H_2)](https://img.qammunity.org/2020/formulas/chemistry/college/3pqkb0bfmiituqzfd0kndvq2lsmj9px7qk.png)
Moles of hydrogen gas :
![n_(H_2O_2)](https://img.qammunity.org/2020/formulas/chemistry/college/g57f8zkx4wsst4k4mkb8k3psxvr8qqa0c6.png)
![(10^9)/(N_A)=(10^9)/(6.022* 10^(23)mol^(-1))}=1.6605* 10^(-15) mol](https://img.qammunity.org/2020/formulas/chemistry/college/bqvnjzu38p6n1ybkjbrgocgkuw2961m2ob.png)
![n_(O_2)=n_(H_2)-n_(H_2O_2)](https://img.qammunity.org/2020/formulas/chemistry/college/ghdafwms9obj57mn35d0r2i6fyrigz1ary.png)
Number of moles in hydrogen gas, oxygen gas and hydrogen peroxide is same.
Total number of atoms in
molecules of oxygen:
(2 atoms in 1 molecule)
Total number of atoms in
molecules of hydroegn :
(2 atoms in 1 molecule)
Total number of atoms in
molecules of hydrogen peroxide:
(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.