Answer:
Pressure = 2.45 atm
Explanation:
The balance chemical equation for the decomposition of hydrogen peroxide is as follow;
2 H₂O₂ ₍aq₎ → 2 H₂O ₍l₎ + O₂ ₍g₎
Step 1: Calculate Moles of H₂O₂ as;
Moles = Mass / M.Mass
Moles = 68.0 g / 34.01 g/mol
Moles = 1.99 moles
Step 2: Calculate Moles of O₂ gas produced:
According to equation,
2 moles of H₂O₂ produced = 1 mole of O₂
So,
1.99 moles of H₂O₂ will produce = X moles of O₂
Solving for X,
X = 1.99 mol × 1 mol / 2 mol
X = 0.995 moles of O₂
Step 3: Calculate pressure exerted by O₂ gas as;
According to ideal gas equaton,
P V = n R T
Or,
P = n R T / V
Putting values,
P = 0.995 mol × 0.08205 L.atm.K⁻¹.mol⁻¹ × 300 K / 10 L
P = 2.45 atm
