Solution:
Mercury(II) oxide decomposes when heated to produce mercury and oxygen gas.
2HgO(s) → 2Hg(l) + O2(g)
The partial pressure of oxygen can be calculated using Dalton's Law of Partial Pressures, which tells us that the total pressure of a gaseous mixture is equal to the sum of the partial pressure of each gas that's a part of that mixture.
Mathematically, we can write this as
Ptotal=∑Pi
In our case, the total pressure of the mixture will be equal to the partial pressure of water and the partial pressure of oxygen gas
Ptotal = Pwater + PO2
The vapor pressure of water at 24.0°C is approximately 2.975 kPa (https://www.endmemo.com/chem/vaporpressurewater.php)
Thus:
PO2 = Ptotal - Pwater
PO2 = 100.34 kPa - 2.975 kPa = 97.365 kPa
PO2 = 97.365 kPa
Answer: PO2 = 97.365 kPa
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