2 H2O2(l) 2 H2O(g) + O2(g) Decompose 0.11 g of H2O2 in a flask with a volume of 2500.0 mL. What is the pressure of O2 at 25 oC? Of H2O?
Question
2 H2O2(l) 2 H2O(g) + O2(g) Decompose 0.11 g of H2O2 in a flask with a volume of 2500.0 mL. What is the pressure of O2 at 25 oC? Of H2O?
Solution
To solve this problem, we need to follow these steps:
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Convert the mass of H2O2 to moles. The molar mass of H2O2 is approximately 34.01 g/mol. So, 0.11 g of H2O2 is 0.11 g / 34.01 g/mol = 0.00323 mol.
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According to the balanced chemical equation, 2 moles of H2O2 decompose to produce 1 mole of O2. Therefore, 0.00323 mol of H2O2 will produce 0.00323 mol / 2 = 0.001615 mol of O2.
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Use the ideal gas law to find the pressure of O2. The ideal gas law is PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvin.
Convert the temperature from Celsius to Kelvin: 25°C + 273.15 = 298.15 K.
Convert the volume from mL to L: 2500.0 mL = 2.5 L.
The ideal gas constant R is 0.0821 L·atm/(mol·K) when the pressure is in atmospheres.
So, the pressure P of O2 is P = nRT / V = (0.001615 mol * 0.0821 L·atm/(mol·K) * 298.15 K) / 2.5 L = 0.0158 atm.
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According to the balanced chemical equation, 2 moles of H2O2 decompose to produce 2 moles of H2O. Therefore, 0.00323 mol of H2O2 will produce 0.00323 mol of H2O.
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Use the ideal gas law again to find the pressure of H2O. The number of moles n is 0.00323 mol. So, the pressure P of H2O is P = nRT / V = (0.00323 mol * 0.0821 L·atm/(mol·K) * 298.15 K) / 2.5 L = 0.0316 atm.
So, the pressure of O2 is 0.0158 atm and the pressure of H2O is 0.0316 atm.
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