A vapor mixture of n-butane (B) and n-hexane (H) contains 50.0 mole% butane at $120^{\circ} \mathrm{C}$ and 1.0 atm. A stream of this mixture flowing at a rate of 150.0 L/s is cooled and compressed, causing some but not all of the vapor to condense. (Treat this process as a single-unit operation.) Liquid and vapor product streams emerge from the process in equilibrium at $T\left(^{\circ} \mathrm{C}\right)$ and 110 mm Hg. The vapor product contains 60.0 mole% butane. a) Draw and label a flowchart. Perform a degree-of-freedom analysis to show that you have enough information to determine the required final temperature …T†, the composition of the liquid product (component mole fractions), and the molar flow rates of the liquid and vapor products from the given information and Antoine expressions for the vapor pressures $p_{\mathrm{B}}^{*}(T)$ and $p_{\mathrm{H}}^{*}(T)$. Just identify the equations—for example, mole balance on butane or Raoult’s law for hexane—but don’t write them yet. b) Write in order the equations you would use to determine the quantities listed in Part (a) and also the fractional condensation of hexane (mol H condensed/mol H fed). In each equation, circle the variable for which you would solve. Do no algebra or calculations. c) Complete the calculations either manually or with an equation-solving program. d) State three assumptions you made that could lead to errors in the calculated quantities.

Determine the singular points of each differential equation. Classify each singular point as regular or irregular. $\left(x^{3}+4 x\right) y^{\prime \prime}-2 x y^{\prime}+6 y=0$

Lilla read $\frac{1}{5}$ of her book last week. This week she read 3 times as much as she read last week. a. Write an expression to show how much of her book Lilla has left to read. Then simplify the expression. b. There are 75 pages in Lilla's book. How many pages does she have left to read?

Completa las respuestas de Pedro a las preguntas de su mamá. } MAMÁ Hijo, ¿puedes ordenar tu habitación? PEDRO La habitación ya BLANK.

Find the orthogonal trajectories of the given family of curves. $y=c_{1} x$

Solve the given differential equation by the method of undetermined coefficients. $y^{\prime \prime \prime}-3 y^{\prime \prime}+3 y^{\prime}-y=x-4 e^{x}$

When air $\left(\approx 21 \text { mole } \% \mathrm{O}_{2}, 79 \% \mathrm{N}_{2}\right)$ is placed in contact with $1000 \mathrm{cm}^{3}$ of liquid water at body temperature, $36.9^{\circ} \mathrm{C}$, and 1 atm absolute, approximately 14.1 standard cubic centimeters $\left[\operatorname{cm}^{3}(\mathrm{STP})\right]$ of gas are absorbed in the water at equilibrium. Subsequent analysis of the liquid reveals that 33.4 mole% of the dissolved gas is oxygen and the balance is nitrogen. a) Estimate the Henry’s law coefficients (atm/mole fraction) of oxygen and nitrogen at $36.9^{\circ} \mathrm{C}$. b) An adult absorbs approximately $0.4 \mathrm{g} \mathrm{O}_{2} / \mathrm{min}$ in the blood flowing though the lungs. Assuming that blood behaves like water and that it enters the lungs free of oxygen, estimate the flow rate of blood into the lungs in L/min. c) The actual flow rate of blood into the lungs is roughly 5 L/min. Identify the assumptions made in the calculation of Part (b) that are likely causes of the discrepancy between the calculated and actual blood flows.

State whether you would use Raoult’s law or Henry’s law to perform vapor–liquid equilibrium calculations for each component in the following liquid mixtures: (a) water and dissolved nitrogen; (b) hexane, octane, and decane; and (c) $\mathrm{CO}_{2}$ and water in club soda or any other carbonated beverage.

Identify the grammatical error in each of the following sentences. If the sentence contains no error, select answer choice E. My father $\frac{\mathrm { said \ I \ could }}{(\mathrm{A})}$ associate $\frac{\mathrm { with \ whoever }}{(\mathrm{B})}$ I wanted, as long as I $\frac{\mathrm { didn't \ bring }}{(\mathrm{C})}$ anyone home $\frac{\mathrm { for \ dinner .}}{(\mathrm{D})}$ $\frac{\mathrm { No \ error }}{(\mathrm{E})}$

Using Raoult’s law or Henry’s law for each substance (whichever one you think appropriate), calculate the pressure and gas-phase composition (mole fractions) in a system containing a liquid that is 0.3 mole% $\mathrm{N}_{2}$ and 99.7 mole% water in equilibrium with nitrogen gas and water vapor at $80^{\circ} \mathrm{C}$.

Estás muy preocupado/a por los problemas del medio ambiente y le comentas a tu compañero/a todas tus preocupaciones. Él/Ella va a darte la solución adecuada a tus preocupaciones.

When asked to compare —9 and 2, Joshua wrote —9 > 2. Is Joshua correct? If not, explain and correct his error.

Solve the radical equation. Check your solution.

$$\sqrt{x}+3=5$$

Find the general solution of the given differential equation. State an interval on which the general solution is defined. $y dx+\left(x+2 x y^{2}-2 y\right) d y=0$