Answer:
moles = 0.093 moles
Explanation:
Here, we analyze a reaction occurring in a vessel with a total pressure of 730 torr.
The total pressure can be expressed as:
Pt = Pwater + PO2
We need to ascertain the pressure of O2 since it will allow us to find the moles of KClO3 through stoichiometry.
The oxygen pressure is:
PO2 = 730 - 26 = 704 Torr
Next, we need to convert this pressure from Torr to Atm:
704 Torr divided by 760 Torr equals 0.9263 atm
Now, using the ideal gas equation:
PV = nRT
We can calculate the moles of O2, and consequently the moles of KClO3:
n = PV/RT
R equals 0.082 L atm /K mol
P equals 0.9263 atm
V equals 3.72 L
T equals 27 + 273 equals 300 K
Plugging in the values:
n = 0.9263 * 3.72 / 300 * 0.082
n = 0.14 moles
Finally, using stoichiometry, since 2 moles of KClO3 yield 3 moles of O2, we have:
moles of KClO3 = 0.14 * 2/3 = 0.093 moles of KClO3