1. Foundations
Process Calculations — Quiz
Test your understanding of process calculations with 5 practice questions.
Practice Questions
Question 1
A gas mixture at $25^\circ\text{C}$ and $1 \text{ atm}$ contains $30 \text{ mol}\%$ methane ($\text{CH}_4$), $40 \text{ mol}\%$ ethane ($\text{C}_2\text{H}_6$), and $30 \text{ mol}\%$ propane ($\text{C}_3\text{H}_8$). If the total volume of the mixture is $100 \text{ L}$, what is the mass of methane in the mixture? Assume ideal gas behavior and that the molar volume of an ideal gas at $25^\circ\text{C}$ and $1 \text{ atm}$ is $24.46 \text{ L/mol}$.
Question 2
A continuous stirred-tank reactor (CSTR) is used to produce product B from reactant A via the reaction $2\text{A} \to \text{B}$. The feed stream contains $500 \text{ kg/h}$ of a solution with $60 \text{ wt}\%$ reactant A and $40 \text{ wt}\%$ inert. If the conversion of A is $80\%$ and the molecular weights are A = $100 \text{ g/mol}$ and B = $200 \text{ g/mol}$, what is the mass flow rate of product B leaving the reactor?
Question 3
A distillation column separates a feed stream of $1000 \text{ kmol/h}$ containing $50 \text{ mol}\%$ benzene and $50 \text{ mol}\%$ toluene. The distillate product contains $90 \text{ mol}\%$ benzene and the bottoms product contains $10 \text{ mol}\%$ benzene. If $95\%$ of the benzene in the feed is recovered in the distillate, what is the molar flow rate of the distillate stream?
Question 4
A batch reactor is charged with $200 \text{ kg}$ of a solution containing $30 \text{ wt}\%$ reactant R. The reaction is $3\text{R} \to \text{P}$. If the reaction achieves $75\%$ conversion of R, and the molecular weight of R is $75 \text{ g/mol}$ and P is $225 \text{ g/mol}$, what is the mass of product P formed?
Question 5
A stream of liquid ethanol ($\text{C}_2\text{H}_5\text{OH}$) flows at a rate of $100 \text{ L/min}$. If the density of ethanol is $0.789 \text{ g/cm}^3$, what is the molar flow rate of ethanol in $\text{mol/s}$? (Molecular weight of ethanol = $46.07 \text{ g/mol}$)