# Calculations: Volume, Density, Mass, Efficiency, Conversions

1. Calculate the volume of 235.1 g of mercury (D=13.5g/cm3). Round to one decimal place, do not include units in your answer.

2. The empty cylinder has a mass of 45.8 g. A liquid is added and the mass of the liquid and the cylinder is 107.2. What is the density of the liquid in the cylinder? Round to one decimal place; do not include units in your answer.

3. A little aluminum boat (mass of 10.8 g) has a volume of 450.00 cm3. The boat is placed in a small pool of water and carefully filled with paper clips. If each paper clip has a mass of 2.1 g, how many paper clips can be added to the boat before it sinks? Round to the nearest whole number, do not include units in your answer.

4. An SUV gets 18.4mi/gal (miles per gallon), what is it's fuel efficiency in km/liter? Round to one decimal place, do not include units in your answer.

5. Convert 628.8 g to lbs. Round to one decimal place, do not include units.

6. My television screen measures 39 in. from corner to corner. How many cm is this? Round to one decimal place, do not include units in your answer.

7. An unknown metal has a density of 4.8 g/cm3. What is that density in kg/m3? Round to the nearest whole number, do not include units.

8. A lead sphere (D=11.4g/ml) has a mass of 5,361.5 g. What is the radius of the sphere in cm? Do not include units in your answer, round to one decimal place.

9. Convert 1.42 light-years to miles (a light year is an astronomical measure of distance-the distance traveled by light in a year or 365 days; the speed of light is 3.00 x 108 m/s). Use the format 3.00E8 for your answer. Use three significant digits in your answer.

10 .A metal cube has a length of 6 cm and a mass of 529.8 g. Find it's density. Round to one decimal place, do not include units in your answer.

11. A 173.9 g sample of a mixture contains 30% by mass lithium chloride. What mass (g) of lithium chloride is present in the sample? Round to one decimal place, do not include units.

12. What volume (ml) of 23% (m/v) LiCl solution will provide 32 grams of LiCl? Round to one decimal places, do not include units in your answer.

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Hi there,

Thanks for letting me work on your post. I've included my explanation in the word document. If you have any question, please feel free to let me know.

Thanks.

Tony

Please see the attachment for word format and full equations.

1. Calculate the volume of 235.1 g of mercury (D=13.5g/cm3). Round to one decimal place, do not include units in your answer.

volume=mass/density, in this problem, mass=235.1g, density=13.5g/cm^3.

Based on these information, volume=235.1/13.5=17.4

2. The empty cylinder has a mass of 45.8 g. A liquid is added and the mass of the liquid and the cylinder is 107.2. What is the density of the liquid in the cylinder? Round to one decimal place; do not include units in your answer.

in this question, mass of liquid: 107.2-45.8=61.4

However, information about the volume of cylinder is needed before we could calculate the volume.

3. A little aluminum boat (mass of 10.8 g) has a ...

#### Solution Summary

The following posting helps with calculations that involve volume, density, mass, efficiency and conversions.

Elements of Crystallizes in Body-Centered Cubic Lattice

Chapter 11

5. An element crystallizes in a body-centered cubic lattice. The edge of the unit cell is 2.98 , and the density of the crystal is 8.99 . Calculate the atomic weight of the element.

9. Calculate the minimum number of grams of propane, , that must be combusted to provide the energy necessary to convert 5.70 of ice at -18.0 to liquid water at 71.5 .

21. The vapor pressure of a volatile liquid can be determined by slowly bubbling a known volume of gas through it at a known temperature and pressure. In an experiment, 4.08 of gas is passed through 7.4972 of liquid benzene, , at 27.1 and atmospheric pressure. The liquid remaining after the experiment weighs 5.9261 . Assuming that the gas becomes saturated with benzene vapor and that the total gas volume and temperature remain constant, what is the vapor pressure of the benzene in torr?

Chapter 14

7. The activation energy of an uncatalyzed reaction is 91 . The addition of a catalyst lowers the activation energy to 52

A. Assuming that the collision factor remains the same, by what factor will the catalyst increase the rate of the reaction at 34 ?

B. Assuming that the collision factor remains the same, by what factor will the catalyst increase the rate of the reaction at 112 ?

12. Calculate the fraction of atoms in a sample of argon gas at 337 that have an energy of 12.3 or greater.

25. The decomposition of H2O2, H2O2 (aq) H2O (l) + ½ O2 (g), is a first-order reaction. At a particular temperature near room temperature, the rate constant equals 7.0×10−4 . Calculate the half-life at this temperature.

34. At 415 , decomposes in the gas phase, . If the reaction is first order with a half-life of 56.3 at this temperature, calculate the rate constant in .

Chapter 20

11. A solution is electrolyzed, using a current of 8.00 .

A. What mass of is plated out after 3.00 days?

B. What amperage is required to plate out 0.230 from a solution in a period of 7.30 ?

23. How many coulombs are required to plate a layer of chromium metal 0.29 thick on an auto bumper with a total area of 0.30 from a solution containing ? The density of chromium metal is 7.20 .

28. What current flow is required for this electroplating if the bumper is to be plated in 14.2 ?

32. If the external source has an emf of 6.6 and the electrolytic cell is 69 efficient, how much electrical power is expended to electroplate the bumper?

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