Answer:
The volume of hydrogen gas produced at STP is 4.90 liters.
Explanation:
[tex]2Al (s) + 6 HCl (aq)\rightarrow 2 AlCl_3 (aq) + 3 H_2 (g)[/tex]
Moles of aluminium =[tex]\frac{3.60 g}{27 g/mol}=0.1333 mol[/tex]
According to reaction , 2 moles of aluminium gives 3 moles of hydrogen gas.
Then 0.1333 moles of aluminium will give:
[tex]\frac{3}{2}\times 0.1333 mol=0.2 moles[/tex] of hydrogen gas
Volume of 0.2 moles of hydrogen gas at STP = V
Temperature at STP = T = 298.15 K
Pressure at STP = P = 1 atm
n = 0.2 mol
PV = nRT (Ideal gas equation)
[tex]V=\frac{nRT}{P}=\frac{0.2mol\times 0.0821 atm L/mol K\times 298.15 K}{1 atm}=4.8956 L\approx 4.90 L[/tex]
The volume of hydrogen gas produced at STP is 4.90 liters.