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A. Calculate the pH of a buffer made from 0.28 M HNO2 and 0.23




M NO2-. The ka for HNO2 is 4.6 x 10-4.






Calculate the pressure, in atm, required to compress a sample of helium gas from 5.00 L

(at 1.00 atm) to 2.00 L.


The demand for a product, in dollars, is p = 2000-0.2x-0.01x2 find the consumer surplus when the sales level is 250

Find the length of cardioid r = 1+sin"\\theta"


Find the area of the region that lies inside the circle r = 3sin"\\theta" and outside the cardioid r = 1+sin"\\theta"

Find the Maclaurin series for the function f(x) = square root of

(x2+2-x)5

Activity 2. Construct Me!




A population consists of the five numbers 2, 3, 6, 8 and 11.




Consider samples of size 2 that can be drawn from this population.




a. List all the possible samples and the corresponding mean.




Sample




Mean




19




b. Construct the sampling distribution of the sample means.




Sample Mean




Probability




Frequency








c. Draw a histogram of the sampling distribution of the




meets.

According to Chemical Engineering Progress (November 1990), approximately 30% of all pipework failures in chemical plants are caused by operator error. (a) What is the probability that out of the next 20 pipework failures at least 10 are due to operator error? [10] (b) What is the probability that no more than 4 out of 20 such failures are due to operator error? [10]


A 2.0 microF capacitor is charged by a 12V battery. It is disconnected from the battery and connected to an uncharged 5.0 microF capacitor. Determine the total stored energy:



i. before the two capacitors are connected



ii. after they are connected

The concentration of ethanoic acid in vinegar was measured as follows: A 50 cm3 sample of vinegar was diluted to 500 cm3 using deionised water. The diluted solution was titrated against 25 cm3 portions of a standard 0.12 M sodium hydroxide solution, using a suitable indicator. Titration reaction: CH3COOH(aq) + NaOH(aq) → CH3COONa(aq) + H2O(aq) After carrying out a number of accurate titrations of the diluted solution of ethanoic acid, the mean titration figure was found to be 20.5 cm3 . a) Calculate the concentration of ethanoic acid in the diluted vinegar solution in moles per liter. 


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