Gaseous E10 fuel is 10 percent ethanol $\left(\mathrm{C}_{2} \mathrm{H}_{6} \mathrm{O}\right)$ and 90 percent octane $\left(\mathrm{C}_{8} \mathrm{H}_{18}\right)$ on a kmol basis. This fuel is burned with 110 percent theoretical air. During the combustion process, 90 percent of the carbon in the fuel is converted to $\mathrm{CO}_{2}$ and 10 percent is converted to CO. Determine (a) the balanced combustion equation, (b) the dew-point temperature of the products, in $^{\circ} \mathrm{C}$, for a product pressure of 100 kPa, (c) the heat transfer for the process, in kJ, after 2.5 kg of fuel are burned and the reactants and products are at $25^{\circ} \mathrm{C}$ with the water in the products remaining a gas, and (d) the relative humidity of atmospheric air for the case where the atmospheric air is at $25^{\circ} \mathrm{C}$ and 100 kPa and the products are found to contain 9.57 kmol of water vapor per kmol of fuel burned.

$$\begin{matrix} \text{} & \text{}{\bar{h}_{f}^{\circ}, \mathrm{kJ} / \mathrm{kmol}} & \text{M, kg/kmol}\\ \text{}{\mathrm{C}_{3} \mathrm{H}_{18}(g)} & \text{-208,450} & \text{144}\\ \text{}{\mathrm{C}_{2} \mathrm{H}_{6} \mathrm{O}(g)} & \text{-235,310 } & \text{46}\\ \text{}{\mathrm{CO}_{2}} & \text{-393,520} & \text{44}\\ \text{CO} & \text{-110,530} & \text{28}\\ \text{}{\mathrm{H}_{2} \mathrm{O}(g)} & \text{-241,820 } & \text{18}\\ \text{}{\mathrm{H}_{2} \mathrm{O}(\mathrm{l})} & \text{-285,830} & \text{18}\\ \text{}{\mathrm{O}_{2}} & \text{} & \text{32}\\ \text{}{\mathrm{N}_{2}} & \text{} & \text{28}\\ \end{matrix}$$

Each of the following surveys has bias. Identify the type of bias. (a) A television survey that gives 900 phone numbers for viewers to call with their vote. Each call costs $2.00. (b) An employer distributes a survey to her 450 employees asking them how many hours each week, on average, they surf the Internet during business hour. Three of the employees complete the survey. (c) A question on a survey asks, "Do you favor or oppose a minor increase in property tax to ensure fair salaries for teachers and properly equipped school buildings?" (d) A researcher conducting a poll about national politics sends a survey to a random sample of subscribers to Time magazine.

On June 5, CIGNA instituted a 3-for-1 stock split. Before the split, CIGNA had 200 million shares with a price of $168 per share. Show that this split was a monetary non-event for the corporation.

Ethanol gas $\left(\mathrm{C}_{2} \mathrm{H}_{6} \mathrm{O}\right)$ is burned with 110 percent theoretical air. During the combustion process, 90 percent of the carbon in the fuel is converted to $\mathrm{CO}_{2}$ and 10 percent is converted to CO. Determine (a) the theoretical kmols of $\mathrm{O}_{2}$ required for complete combustion of one kmol of ethanol, (b) the balanced combustion equation for the incomplete combustion process, and (c) the rate of heat transfer from the combustion process, in kW, when 3.5 kg/h of fuel are burned when the reactants and products are at $25^{\circ} \mathrm{C}$ with the water in the products remaining a gas.

$$\begin{matrix} \text{} & \text{}{\bar{h}_{f}^{\circ}, \mathrm{kJ} / \mathrm{kmol}} & \text{M, kg/kmol}\\ \text{}{\mathrm{C}_{3} \mathrm{H}_{6} \mathrm{O}(g)} & \text{-235,310} & \text{46}\\ \text{}{\mathrm{CO}_{2}} & \text{-393,520 } & \text{44}\\ \text{CO} & \text{-110,530 } & \text{28}\\ \text{}{\mathrm{H}_{2} \mathrm{O}(g)} & \text{-241,820} & \text{18}\\ \text{}{\mathrm{H}_{2} \mathrm{O}(\mathrm{l})} & \text{-285,830} & \text{18}\\ \text{}{\mathrm{O}_{2}} & \text{} & \text{32}\\ \text{}{\mathrm{N}_{2}} & \text{} & \text{28}\\ \end{matrix}$$

Find the value of that makes each trinomial a perfect square. Then write the trinomial as a perfect square.

$$x ^ { 2 } + 0.7 x + c$$

Show that B is the inverse of A.

$$A=\left[\begin{array}{ll}{5} & {4} \\ {3} & {2}\end{array}\right], \quad B=\left[\begin{array}{rr}{-1} & {2} \\ {\frac{3}{2}} & {-\frac{5}{2}}\end{array}\right]$$

Solve each equation on the interval

$$[ 0,2 \pi ).$$

Use exact values where possible or give approximate solutions correct to four decimal places.

$$\tan x \sec x = 3 \tan x$$

Review the vocabulary words listed. Determine if each statement is true or false. If false, replace the underlined word with the correct vocabulary word. Gastrovascular cavity, medusa, nematocyst, nerve net, polyp, pharynx, proglottid, regeneration, scolex, trichinosis. The cnidarian body form that is umbrellashaped with tentacles that hang down is called a $\underline{\text{polyp}}$.

Moist air enters a device operating at steady state at 1 atm with a dry-bulb temperature of $55^\circ C$ and a wet-bulb temperature of $25^\circ C.$ Liquid water at $20^\circ C$ is sprayed into the air stream, bringing it to $40^\circ C,$ 1 atm at the exit. Determine a. the relative humidities at the inlet and exit. b. the rate that liquid water is sprayed into the air stream, in kg per kg of dry air.

You drill a circular hole of radius r through the base of a cylinder of radius R. Assume the hole is drilled completely through to the other base. You want the volume of the hole to be half the volume of the cylinder. Express r as a function of R.

Mr. Woodruff owns an automobile part s store and typically marks up merchandise 32% over warehouse cost. How much would he charge customers for a rotor that costs him $62.25?

What strategy did the National Organization for Women adopt shortly after its founding? creating subcommittees to deal with inequality campaigning to get women elected to political offices educating the public about women’s issues focusing on the area of workplace inequality

Pink ink spots were here, and pink ink spots were there. Four hundred spots here, six hundred spots there, how many ink spots were everywhere? Write an equation and find the answer.

Use $v=-0.0098 t+c \ln R,$ where v is the velocity of the rocket, t is the firing time, c is the velocity of the exhaust, and R is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. A rocket has a mass ratio of 24 and an exhaust velocity of 2.5 km/s. Determine the minimum firing time for a stable orbit 300 km above Earth.