Answer : The number of moles of [tex]H_2O[/tex] produced will be, 2 moles
Explanation : Given,
Moles of [tex]O_2[/tex] = 2.5 mol
Moles of [tex]C_3H_8[/tex] = 4.6 mol
First we have to calculate the limiting and excess reagent.
The given chemical reaction is,
[tex]C_3H_8(g)+5O_2(g)\rightarrow 3CO_2(g)+4H_2O(g)[/tex]
From the balanced reaction we conclude that
As, 5 mole of [tex]O_2[/tex] react with 1 mole of [tex]C_3H_8[/tex]
So, 2.5 moles of [tex]O_2[/tex] react with [tex]\frac{2.5}{5}=0.5[/tex] moles of [tex]C_3H_8[/tex]
From this we conclude that, [tex]C_3H_8[/tex] is an excess reagent because the given moles are greater than the required moles and [tex]O_2[/tex] is a limiting reagent and it limits the formation of product.
Now we have to calculate the moles of [tex]H_2O[/tex]
From the reaction, we conclude that
As, 5 mole of [tex]O_2[/tex] react to give 4 mole of [tex]H_2O[/tex]
So, 2.5 moles of [tex]O_2[/tex] react to give [tex]\frac{2.5}{5}\times 4=2[/tex] moles of [tex]H_2O[/tex]
Thus, the number of moles of [tex]H_2O[/tex] produced will be, 2 moles