How many liters of H2 gas would be produced when a 100.0 mL solution of 360.3 mM HCl is reacted with excess zinc as described by the reaction below? Assume a temperature of 28.6∘C and a pressure of 0.86 atm. Express your answer in liters using at least three significant figures.
Zn (s) + 2 HCl (aq) ⟶ ZnCl2 (aq) + H2 (g)
1.04L
Explanation
Zn(s) + 2HCl(aq) -------> ZnCl2(aq) + H2(g)
Stoichiometrically, 2moles of HCl gives 1 mole of H2
moles of HCl reacted = ( 0.3603mol/1000ml)×100ml = v0.03603mol
0.03603moles of HCl gives 0.03603moles of H2
Ideal gas equation is
PV = nRT
P = Pressure, 0.86atm
V = Volume
n = number of moles, 0.03603mol
R = gas constant, 0.082057L atm /mol K
T = Temperature, 28.6℃ = 301.75K
V = nRT/P
= 0.03603mol × 0.082057(L atm/mol K) × 301.75K / 0.86atm
= 1.04L
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