Respuesta :
Answer : The initial quantity of sodium metal used is 17.25 grams.
Solution : Given,
Volume of [tex]H_2[/tex] gas = 8.40 L
Molar mass of Na metal = 23 g/mole
The Net balanced chemical reaction is,
[tex]2Na+2H_2O\rightarrow 2NaOH+H_2[/tex]
At STP, 22.4 L of volume is occupied by 1 mole of [tex]H_2[/tex] gas
so, 8.40 L of volume is occupied by = [tex]\frac{8.40L\times 1mole}{22.4L}[/tex] = 0.375 moles of [tex]H_2[/tex] gas
Now from the above reaction, we conclude that
1 mole of [tex]H_2[/tex] gas produced by the 2 moles of Na metal
0.375 moles of [tex]H_2[/tex] gas produced = [tex]\frac{2moles\times 0.375mole}{1mole}=0.75moles[/tex] of Na metal
The quantity of Na metal used = Moles of Na metal × Molar mass of Na metal = 0.75 moles × 23 g/mole = 17.25 grams
Therefore, the initial quantity of sodium metal used is 17.25 grams.