Question     (Requires Microsoft Excel) Use the spreadsheet approach described in Section 11-10 to generate the titration curve for the titration of \( 50.0 \mathrm{~mL} \) of \( 0.200 \mathrm{M} \) propanoic acid with \( 0.100 \mathrm{M} \mathrm{NaOH} \) from question 2. 2. You are titrating \( 50.0 \mathrm{~mL} \) of \( 0.200 \mathrm{M} \) propanoic acid with \( 0.100 \mathrm{M} \mathrm{NaOH} \). Use the data in the table to answer the questions. a) Assuming that the equivalence point is considered \( 100 \% \) completion, calculate the \( \mathrm{pH} \) at the following points: \( 0 \%, 10 \%, 50 \%, 90 \%, 100 \% \), and \( 120 \% \). b) Sketch the titration curve. c) What would be an ideal \( \mathrm{p} K_{\mathrm{a}} \) for an indicator to use in this titration?

The reaction N2O4(g) 2NO2(g) has a Kp = 0.140 at 25 °C. In a reaction vessel containing the gases in equilibrium at that temperature, the partial pressure of N2O4 was 0.220 atm. (a) What was the partial pressure of NO2 in the reaction mixture? atm (b) What was the total pressure of the mixture of gases? atm

Calculate the coefficient of variation for the following sample data. 10 14 13 11 12 cv=% (Round to two decimal places as needed.)

Moments and shear stress 2. The following figure shows all the stresses on a small volume element (of volume dxdydz) in equilibrium. By calculating the moments about the centre of the element and understanding that in equilibrium the total sum of moments around the x, y and z axes are zero, prove that: Txy Tyx Txz = T7x and Tyz Tzy dx буг бу dz Ох бу Оух xy Moments and shear stress 2. The following figure shows all the stresses on a small volume element (of volume dxdydz) in equilibrium. By calculating the moments about the centre of the element and understanding that in equilibrium the total sum of moments around the x, y and z axes are zero, prove that: Txy Tyx Txz = T7x and Tyz Tzy dx буг бу dz Ох бу Оух xy бх dy (Hint: calculate the moments about the centre of the element in the x, y and z axes separately.) 60

The Gourmand Cooking School runs short cooking courses at its small campus. Management has identified two cost drivers it uses in its budgeting and performance reports—the number of courses and the total number of students. For example, the school might run two courses in a month and have a total of 65 students enrolled in those two courses. Data concerning the company's cost formulas appear below: Instructor wages Classroom supplies Utilities Campus rent Insurance Administrative expenses Fixed Cost per Cost per Cost per Month Course Student $ 2,960 $280 $1,240 S 80 $4,600 $2,400 $3,600 44 S 5 $ For example, administrative expenses should be $3,600 per month plus $44 per course plus $5 per student. The company's sales should average $890 per student. The company planned to run four courses with a total of 65 students; however, it actually ran four courses with a total of only 57 students. The actual operating results for September appear below: Revenue Instructor wages Classroom supplies Utilities Campus rent Insurance Administrative expenses Actual $ 54,950 $11,120 $ 18,050 $ 1,970 $ 4,600 $ 2,540 $ 3,527 Required: Prepare a flexible budget performance report that shows both revenue and spending variances and activity variances for September. (Indicate the effect of each variance by selecting "F" for favorable, "U" for unfavorable, and "None" for no effect (i.e., zero variance). Input all amounts as positive values.) Required: Prepare a flexible budget performance report that shows both revenue and spending variances and activity variances for September. (Indicate the effect of each variance by selecting "F" for favorable, "U" for unfavorable, and "None" for no effect (i.e., zero variance). Input all amounts as positive values.) Gourmand Cooking School Flexible Budget Performance Report For the Month Ended September 30 Flexible Actual Results Budget Planning Budget Courses 4 Students 57 $ 54,950 Revenue Expenses: Instructor wages Classroom supplies Utilities Campus rent Insurance Administrative expenses Total expense Net operating income 11,120 18,050 1,970 4,600 2,540 3,527 41,807 13,143 $

13) The emf and the internal resistance of a battery are as shown in the figure. If a current of 8.3 A is drawn from the battery when a resistor R is connected across the terminals ab of the battery, what is the power dissipated by the resistor R? - 95.0 V 5.0 92 - - - - - A) 620 W B) 530 W C) 440 W D) 790 W E) 700 W

Find the linearization of y=sin(x) at x=π/4, and use your result to approximate sin(11π36). Enter exact values only and don't leave trigonometric functions unevaluated. (a) What is dxdx? (b) Using your linearization, approximate sin(11π36)sin(11π36). sin(11π36)