8 A student reacts 1 mol of magnesium powder in a sealed 0.030 m3 container of oxygen at apressure of 2.0 10 5 Pa and a temperature of 600 K. The magnesium reacts completely to formMgO.Which percentage of the oxygen will be used up?A 5.0% B 10% C 42% D 83%
Question
8 A student reacts 1 mol of magnesium powder in a sealed 0.030 m3 container of oxygen at apressure of 2.0 10 5 Pa and a temperature of 600 K. The magnesium reacts completely to formMgO.Which percentage of the oxygen will be used up?A 5.0% B 10% C 42% D 83%
Solution
To answer this question, we need to use the ideal gas law equation, which is PV = nRT.
Given:
- Pressure (P) = 2.0 x 10^5 Pa
- Volume (V) = 0.030 m^3
- Temperature (T) = 600 K
- Gas constant (R) = 8.31 J/(mol.K)
We can calculate the number of moles of oxygen (n) using the ideal gas law:
n = PV/RT = (2.0 x 10^5 Pa x 0.030 m^3) / (8.31 J/(mol.K) x 600 K) = 1.2 mol
The balanced chemical equation for the reaction of magnesium with oxygen is 2Mg + O2 -> 2MgO.
From this equation, we can see that 1 mol of oxygen reacts with 2 mol of magnesium to form 2 mol of MgO.
Since we only have 1 mol of magnesium, only half of the oxygen will be used up.
Therefore, the percentage of the oxygen that will be used up is 50%.
None of the options A, B, C, D are correct.
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