Respuesta :

Answer:

[tex]1.2044*10^{25}[/tex] molecules of water are produced ( assuming excess of oxygen )

STEP BY STEP EXPLANATION :

according to the given balanced equation ,

[tex]C_{3}H_{8} (g) + 5O_{2} (g)[/tex] ⇒ [tex]3CO_{2}(g)  + 4H_{2}O(g)[/tex]

we see that , 1 mole of [tex]C_{3} H_{8}[/tex] ( propane ) reacts with 5 moles of [tex]O_{2}[/tex] (oxygen) to give 3 moles of [tex]CO_{2}[/tex] ( carbon di oxide )

and 4 moles of [tex]H_{2} O[/tex] (water) respectively.

  • 1 mole of [tex]C_{3} H_{8}[/tex] reacts to give 4 moles of [tex]H_{2} O[/tex]
  • ∴ 5 moles of [tex]C_{3} H_{8}[/tex] reacts to give '[tex]x[/tex]' moles of [tex]H_{2} O[/tex]
  • using the property of direct propotions ,

             [tex]\frac{1}{4} = \frac{5}{x} \\x = 20[/tex]

this is the number of moles;

the number of molecules are :

[tex]20*N_{a}[/tex] = [tex]20*6.022*10^{23}[/tex] = [tex]12.044*10^{24}=1.2044*10^{25}[/tex]

thus answer is : [tex]1.2044*10^{25}[/tex]