An important process for the production of acrylonitrile C3H3N is given by the following reaction

2C3H6 + 2NH3 + 3O2 --> 2C3H3N + 6H2O
A 150 -L reactor is charged tot he following partial pressures at 25 C
P(C3H6) = .5 MPa
P(NH2) = .8 MPa
P(O2) = 1.5 MPa
What mass of acrylonitrile can be produced from this mixture (MPa = 10^6 Pa)?

It seems to me you must know either Keq OR that the reaction proceeds to completion. Check my thinking.

Yes, you are correct. To calculate the mass of acrylonitrile that can be produced in this reaction mixture, we need to determine if the reaction proceeds to completion or if it reaches equilibrium. Knowing either the equilibrium constant (Keq) or the information about the reaction proceeding to completion is important in this case.

If the reaction proceeds to completion, it means that all the reactants will be completely converted into products, and we can assume that the reaction goes to completion. On the other hand, if we have the value of Keq, we can compare it to the reaction quotient (Q) to determine whether the reaction proceeds forward or backward.

Since you haven't provided the value of Keq, we'll assume that the reaction goes to completion in this case. So, all the reactants will be converted into products. To calculate the mass of acrylonitrile produced, we'll follow these steps:

Step 1: Convert the given partial pressures into total pressures:
P(C3H6) = 0.5 MPa = 0.5 × 10^6 Pa
P(NH3) = 0.8 MPa = 0.8 × 10^6 Pa
P(O2) = 1.5 MPa = 1.5 × 10^6 Pa

Step 2: Convert the total pressures into the number of moles using the ideal gas law:
PV = nRT

R is the ideal gas constant (8.314 J/(mol·K))
T is the temperature in Kelvin (25 °C = 298 K)

For C3H6:
n(C3H6) = (P(C3H6) × V) / (R × T)

Similarly, calculate moles for NH3 and O2.

Step 3: Compare the moles of reactants to determine the limiting reactant.
The reactant that has the smallest number of moles is the limiting reactant, as it will be completely consumed in the reaction.

Step 4: Use the stoichiometry of the balanced equation to calculate the moles of acrylonitrile produced.
Based on the balanced equation: 2C3H6 + 2NH3 + 3O2 → 2C3H3N + 6H2O

From the limiting reactant, you can determine the moles of acrylonitrile produced.

Step 5: Calculate the mass of acrylonitrile produced using the molar mass of C3H3N.
The molar mass of C3H3N can be obtained from the molecular formula C3H3N by summing the atomic masses of its constituent elements (12.01 g/mol for C, 1.01 g/mol for H, and 14.01 g/mol for N).

Mass of acrylonitrile = moles of acrylonitrile × molar mass of C3H3N

Performing these calculations will give you the mass of acrylonitrile that can be produced from the given reaction mixture.