CaO(s) reacts with SO2(g) according to the following equations: CaO9(s)+So2(g)--> CaSO3(g).
A 8.85g mixture containing CaO(s) is placed in a 3.00-L container. The container is filled with SO2(g) to a pressure of 749 torr, at 20.0 degree Celsius. After the reaction has gone to completion, the pressure inside the flask is 390 torr, also at 20.0 degree Celsius. What is the mass of CaSO39(s) produced? Assume that only CaO(s) in the mixture reacts with SO2(g).
mols CaO = grams/molar mass = ?
mols SO2 = use PV = nRT to determine the initial amount of SO2 and the final amount of SO2, subtract final - initial to find mols SO2 used.
Convert mol USED of SO2 to mols CaSO3 formed, then g CaSO3 = mols CaSO3 x molar mass CaSO3.
I think the 8.85 is a red herring.
To find the mass of CaSO3(s) produced, we need to first determine the amount of CaO(s) that reacted with SO2(g) using the ideal gas law and stoichiometry.
Step 1: Determine the moles of SO2(g)
Using the ideal gas law formula (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, we can calculate the moles of SO2(g) present in the container.
Given:
Pressure of SO2(g) before reaction, P₁ = 749 torr
Pressure of SO2(g) after reaction, P₂ = 390 torr
Volume of container, V = 3.00 L
Temperature, T = 20.0 °C = (20.0 + 273.15) K (convert to Kelvin)
Using the ideal gas law equation PV = nRT:
n₁ = (P₁ * V) / (R * T)
n₂ = (P₂ * V) / (R * T)
Step 2: Convert moles of SO2(g) to moles of CaO(s)
Since the reaction is 1:1 between CaO(s) and SO2(g), we can say that the moles of SO2(g) is equal to moles of CaO(s) in the reaction.
n(CaO) = n(SO2) = n₂
Step 3: Calculate the molar mass of CaO
The molar mass of CaO can be calculated by adding the atomic masses of calcium (Ca) and oxygen (O) in one mole of CaO.
Molar mass of CaO = Atomic mass of Ca + Atomic mass of O
Step 4: Calculate the mass of CaSO3(s) produced
Using the molar mass of CaO and the moles of CaO calculated in Step 2, we can calculate the mass of CaSO3(s) produced using stoichiometry.
Mass of CaSO3 = n(CaO) * Molar mass of CaO
Follow these steps with the given values to find the mass of CaSO3(s) produced.