A tank contains 1000 L of pure water. Brine that contains 0.05 kg of salt per liter of water enters the tank at a rate of 5 L/min. Separately, brine that contains 0.04 kg of salt per liter of water enters the tank at a rate of 10 L/min. The solution is kept thoroughly mixed and drains from the tank at a rate of 15 L/min. Let y(t) be the amount of salt (in kg) aftert minutes. (a) How much salt is in the tank after t minutes? y(t) kg (b) How much salt is in the tank after 30 minutes? (Round the answer to one decimal place.) y(30) = kg
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- Beakers (a), (b), and (c) are representations of tiny sections (not to scale) of mixtures made from pure benzene and pure water. Select which beaker gives proper representation of the result when the two pure substances are mixed.A) An aqueous solution of ethyl alcohol is made by transfering 4.72 mL of liquid ethyl alcohol to a 200 . mL volumetric flask, and then adding enough water to fill the flask to the mark. What is the volume/volume percentage of ethyl alcohol in the solution? Volume/volume percentage = ________% B) An aqueous solution of acetic acid is made by transfering 17.5 mL of liquid acetic acid to a 200 . mL volumetric flask, and then adding enough water to fill the flask to the mark. What is the volume/volume percentage of acetic acid in the solution? Volume/volume percentage = ________%You have been tasked with determining the wastewater solids generated by a community. To determine solids, you collect two effluent samples of 100 mL each. The first sample was placed, unfiltered, in a crucible and dried at 105 ̊C overnight. The weight of the dried sample and crucible was 5.6112 g, while the weight of the crucible was 5.6000 g. The second sample was filtered. The filter and drying dish were dried overnight at 105 ̊C after which they weighed 2.1085 g. The filter and drying dish were then placed in a muffle furnace at 550 ̊C for 30 mins, after which they weighed 2.103 g. The drying dish weighs 1.6000 g and the filter weighs 0.5 g. a) Determine the concentration of TS, TSS, VSS, FSS and TDS in mg/L: b) Does TSS concentration meet the federal effluent regulations? If not, what removal techniques would you recommend and what minimum percent must be removed prior to discharge?
- A 100 mg vitamin C tablet weighed 1.681 g. A student crushed the tablet and transferred 0.150 g of the crushed powder into a 100 mL volumetric flask, dissolved the powder in ~30 mL DI water, then filled the flask to the calibration line with DI water and mixed well to create Solution 1. The student then transferred 19.82 mL of Solution 1 into a 100 mL volumetric flask and diluted to the calibration line with DI water to create Solution 2. Calculate the expected concentration (in mM) of ascorbic acid in Solution 2. Hint: Remember that you are starting with a 100 mg vitamin C tablet.A liniment contains 15 % (v/v) of methyl salicylate. How many mL of the liniment can be made from 1 pint of methyl salicylate? Volume(ml) x %(expressed in decimal)= mL of active ingredientsSix concrete posts are used to support a waterfront pier. Each post has dimensions 14 in x 14 in x 15 ft. The average density of the concrete is 2.4 g/cm3. ( 1g = 1 x 10-6 metric ton) a. Calculate the volume of concrete (in m3) needed to make one post. b. Calculate the total mass in metric tons (t) of all six concrete posts. 13. Earth’s surface area is 5.1 x 108 km2, its crust has an average thickness of 35 km and an average density of 2.8 g/cm3. The two rarest (non-radioactive) elements in the crust are ruthenium and rhodium, each with an abundance of 1.0 x 10-4g/metric ton crust. What is the total mass of these two elements in the earth’s crust? (1g = 1 x 10-6 metric ton) 14. A 200mg piece of gold is hammered into a sheet measuring 2.4ft x 1.0ft, what is the thickness of the sheet in meters? Density of gold is 19.32g/cm3 (1in = 2.54cm, 12in = 1ft)
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