Here is the solution for Question 8:
Question 8:
What mass of zinc will be required to react completely with 100cm3 of 0.1moldm−3 hydrochloric acid? Determine volume of hydrogen gas that would be evolved at s.t.p.
Equation of reaction: Zn(s)+2HCl(aq)⟶ZnCl2(aq)+H2(g)
[Zn = 65, molar volume = 22.4dm3mol−1]
- Given:
- Volume of HCl=100cm3=0.1dm3
- Concentration of HCl=0.1moldm−3
- Molar mass of Zn=65 g/mol
- Molar volume at s.t.p. = 22.4dm3mol−1
- Equation: Zn(s)+2HCl(aq)⟶ZnCl2(aq)+H2(g)
Part 1: Calculate the mass of zinc required.
Step 1: Calculate the moles of hydrochloric acid (HCl).
Moles of HCl=Concentration×Volume
Moles of HCl=0.1moldm−3×0.1dm3
Moles of HCl=0.01 mol
Step 2: Determine the moles of zinc (Zn) required using the mole ratio from the balanced equation.
From the equation, 1 mol of Zn reacts with 2 mol of HCl.
Moles of Zn=MolesofHCl×2molHCl1molZn
Moles of Zn=0.01mol×21
Moles of Zn=0.005 mol
Step 3: Calculate the mass of zinc required.
Mass of Zn=MolesofZn×Molar mass of Zn
Mass of Zn=0.005mol×65 g/mol
Mass of Zn=0.325 g
Part 2: Determine the volume of hydrogen gas evolved at s.t.p.
Step 1: Determine the moles of hydrogen gas (H2) produced using the mole ratio from the balanced equation.
From the equation, 2 mol of HCl produces 1 mol of H2.
Moles of H2=MolesofHCl×2molHCl1molH2
Moles of H2=0.01mol×21
Moles of H2=0.005 mol
Step 2: Calculate the volume of hydrogen gas evolved at s.t.p.
Volume of H2=MolesofH2×Molar volume at s.t.p.
Volume of H2=0.005mol×22.4dm3mol−1
Volume of H2=0.112dm3
Convert to cm3:
Volume of H2=0.112dm3×1000cm3/dm3
\text{Volume of H}_2 = \text{112 cm^3}
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