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Helena Moore

Helena M.

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Khushbu Rani verified

Numerade educator

For the following function, find all intervals on which the function is positive and all intervals on which the function is negative. Include a detailed explanation for each step written in grammatically correct complete sentences within a two-column format. [ f(x)=frac{(2 x+5) sqrt{x}}{(x-1)^{2}(3 x-6)} ]

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Danielle Fairburn verified

Numerade educator

Graphical problems with solutions in paragraph form A certain process can be described by the following piecewise-defined function. Draw a well-labeled graph of this function. Include justifications for each graphical step within a grammatically correct exposition. f(x) = { -2x + 1 if x < 1 x^2 - 1 if x ? 1 Computational and analytical problems with solutions in a two-column format For the following function, find all intervals on which the function is positive and all intervals on which the function is negative. Include a detailed explanation for each step written in grammatically correct complete sentences within a two-column format. f(x) = ((2x + 5) ?x) / ((x - 1)^2 (3x - 6))

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David Collins verified

Numerade educator

The absorbance of a 2.50 x 10^{-3} M solution in a 5.00 cm pathlength cell is 0.598 at a wavelength of 450 nm. What is the molar absorptivity of the solution in units of M^{-1}cm^{-1}?

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INSTANT ANSWER

(0/2pts) Mass of salicylic acid in aspirin stock solution (g) 0.617 You did not provide a response. (0/2pts) Mass of aspirin in aspirin stock solution (g) 0.390 (-2 pts) Incorrect. Compare the mass of salicylic acid in the stock solution to the mass of solid added to the stock solution. You did not provide a response. (0/2pts) Percent of aspirin in 'aspirin' sample (\%) 38.7 You did not provide a response. (6pts) Questions (pending/3pts) Use your percent purity calculations to determine the actual percent yield of your synthesis of aspirin (i.e. Now that you know your sample is not pure, how much is actually aspirin?) Normal B? \( I \mid \underline{U} \) \( \mathrm{X}_{2}\left|\mathrm{X}^{2}\right| \) \( f_{x} \mid 8 \) | ? ?e ?| (pending/3pts) Compare your aspirin's purity through spectrophotometric determination to that of the titration. Which one do you think is more accurate? Explain. Normal B? \( \underline{\underline{U}} \) \( \mathbf{X}_{2}\left|\mathrm{X}^{2}\right| \rightarrow \) \( \frac{1}{3}= \) \( f_{x}|\&| \) le ?(

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Daniel Gosser verified

Numerade educator

(18pts) Calories per Mass of Food Report Table CP.1: Calorimetry Data of Burning Food Sample 1 Sample 2 Mass of can (g) 15.505 14.436 Mass of can and water (g) 114.220 112.850 Initial mass of food sample (g) 1.795 0.521 Final mass of food sample (g) 0.098 0.097 Initial temperature of water (°C) 20.9 21.6 Final temperature of water (°C) 21.9 22.5 Mass of water (g) Temperature change of water (°C) (Do not include a negative sign) Heat gained by water (cal) (Do not include a negative sign) Heat gained by water (kcal) (Do not include a negative sign) Heat lost by food (cal) (Do not include a negative sign) Heat lost by food (kcal) (Do not include a negative sign) Mass of food burned (g) Calories per gram of food (kcal/g)

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David Collins verified

Numerade educator

Volume of Stock Salicylic Acid (mL) | Total Volume of Trial Solution (mL) | Concentration Salicylic Acid (M) | Absorbance Trial 1 | 2.5 | 25.00 | 0.00055 | 0.910 Trial 2 | 2.0 | 25.00 | 0.00044 | 0.670 Trial 3 | 1.5 | 25.00 | 0.00033 | 0.530 Trial 4 | 1.0 | 25.00 | 0.00022 | 0.400 Complete the calibration curve as a plot of absorbance on the y-axis and concentration on the x-axis and obtain a linear fit. Enter the slope and y-intercept for the line of best fit from your instrument or plot. slope (m): intercept (b):

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INSTANT ANSWER

(12pts) Purity of Synthesized Aspirin Calculations Measured mass of aspirin sample (g): 0.390 Total volume of aspirin stock solution \( (\mathrm{mL}) \) : 250.0 Volume of aspirin stock solution in sample solution \( (\mathrm{mL}): 10.00 \) Total volume of aspirin sample solution \( (\mathrm{mL}) \) : 25.00 Use the slope and intercept information and the equation for a line \( (y=m x+b) \), where \( y \) is the absorbance and \( x \) is the concentration, to calculate the concentration of the unknown solution. (Hint: you may want to rearrange the equation to solve for \( x \) first.) Record this value as the concentration of salicylic acid in the aspirin sample solution. Absorbance of aspirin sample: 0.72 \( (0 / 2 \mathrm{pts}) \) Concentration of salicylic acid in aspirin sample solution (M) (-2 pts) Incorrect. Use the equation for the best fit line to calculate the concentration of the aspirin solution. You did not provide a response. (0/2pts) Concentration of salicylic acid in aspirin stock solution (M)

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ANSWERED

Angela Williamson verified

Numerade educator

Report Table SAA.1: Absorbance and Concentration Data Concentration and absorbance of standard solutions | | Volume of Stock Salicylic Acid (mL) | Total Volume of Trial Solution (mL) | Concentration Salicylic Acid (M) | Absorbance | | :--- | :--- | :--- | :--- | :--- | | Trial 1 | 2.5 | 25.00 | | 0.910 | | Trial 2 | 2.0 | 25.00 | | 0.670 | | Trial 3 | 1.5 | 25.00 | | 0.530 | | Trial 4 | 1.0 | 25.00 | | 0.400 |

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Nicole Krahulik verified

Numerade educator

Absorbance of aspirin sample solution 0.716 Salicylic Acid Standard Stock Solution Calculations Complete Report Table SAA.1 with your calculations for the concentration of salicylic acid. Initial mass of salicylic acid for stock solution (g):0.190 Total volume of salicylic acid stock solution (mL):250.0 Moles of salicylic acid in stock solution (mol) 0.00138 Concentration of salicylic acid in stock solution (M) 0.0055

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