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Answer :
To solve this problem, we need to use the balanced chemical equation for the reaction between zinc and hydrogen chloride, and then apply the appropriate gas law calculations to determine the volume of hydrogen gas formed.
Given information:
- Mass of zinc (Zn) = 1.74 g
- Temperature (T) = 305 K
- Pressure (P) = 98.3 kPa
Step 1: Write the balanced chemical equation for the reaction.
Zn(s) + 2 HCl(aq) → ZnCl2(aq) + H2(g)
Step 2: Calculate the number of moles of zinc (Zn) using the given mass.
Moles of Zn = Mass of Zn / Molar mass of Zn
Moles of Zn = 1.74 g / (65.38 g/mol)
Moles of Zn = 0.0266 mol
Step 3: Use the balanced equation to determine the number of moles of hydrogen (H2) produced.
Moles of H2 = Moles of Zn × 1 (from the balanced equation)
Moles of H2 = 0.0266 mol
Step 4: Calculate the volume of hydrogen gas using the ideal gas law:
PV = nRT
V = (nRT) / P
V = (0.0266 mol × 8.314 J/(mol·K) × 305 K) / (98.3 kPa)
V = 2.41 L
Therefore, 2.41 liters of hydrogen gas will be formed at 305 K and 98.3 kPa.
Given information:
- Mass of zinc (Zn) = 1.74 g
- Temperature (T) = 305 K
- Pressure (P) = 98.3 kPa
Step 1: Write the balanced chemical equation for the reaction.
Zn(s) + 2 HCl(aq) → ZnCl2(aq) + H2(g)
Step 2: Calculate the number of moles of zinc (Zn) using the given mass.
Moles of Zn = Mass of Zn / Molar mass of Zn
Moles of Zn = 1.74 g / (65.38 g/mol)
Moles of Zn = 0.0266 mol
Step 3: Use the balanced equation to determine the number of moles of hydrogen (H2) produced.
Moles of H2 = Moles of Zn × 1 (from the balanced equation)
Moles of H2 = 0.0266 mol
Step 4: Calculate the volume of hydrogen gas using the ideal gas law:
PV = nRT
V = (nRT) / P
V = (0.0266 mol × 8.314 J/(mol·K) × 305 K) / (98.3 kPa)
V = 2.41 L
Therefore, 2.41 liters of hydrogen gas will be formed at 305 K and 98.3 kPa.
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