- 1.30 (a) A cube of osmium metal 1.500 cm on a side has a mass of o dilute solv

Question

- 1.30 (a) A cube of osmium metal 1.500 cm on a side has a mass of o dilute solves. density s at el 76.31 g at 25 °C.What is its density in g/cm at this tempera- ture? (b) The density of titanium metalis 4.51 g/cm' at 25°C. What mass of titanium displaces 125.0 mL of water at 25°C? (c) The density of benzene at 15°C is 0.8787g/mL. Calculate the mass of 0.1500 L of benzene at this temperature. 1.31 (a) To identify a liquid substance, a student determined its density. Using a graduated cylinder, she measured out a 45-mL sample of the substance. She then measured the mass of the sample, finding that it weighed 38.5 g. She knew that the substance had to be either isopropyl alcohol density 0.785 g/mL) or toluene (density 0.866/mL). What are the calculated density and the probable identity of the substance? (b) An experiment requires 45.0 g of ethylene gly- col, a liquid whose density is 1.114 g/mL. Rather than weigh the sample on a balance, a chemist chooses to dispense the liquid using a graduated cylinder. What volume of the liquid should he use? (c) Is a graduated cylinder such as that shown in Figure 1.19 likely to afford the accuracy of measurement needed? (d) A cubic piece of metal measures 5.00 cm on each edge. If the metal is nickel, whose density is 8.90 g/cm2, what is the mass of the cube? om the ess or a g a cup dy bar, al. The burns e metal, of these e due to ixtures vinegar. beaker 1.32 (a) After the label fell off a bottle containing a clear liquid be- and an- lieved to be benzene, a chemist measured the density of the liquid to verify its identity. A 25.0-mL portion of the liquid had a mass of 21.95 g. A chemistry handbook lists the den- sity of benzene at 15 as 0.8787 g/mL. Is the calculated density in agreement with the tabulated value? (b) An experi- ment requires 15.0 g of cyclohexane, whose density at 25 °C is 0.7781 g/mL. What volume of cyclohexane should be used? (c) A spherical ball of lead has a diameter of 5.0 cm. What is the mass of the sphere if lead has a density of 11.34 g/cm'? (The volume of a sphere is (4/3)Tr, where r is the radius.) viations ng mea- 10 106 s, 1.33 In the year 2011, an estimated amount of 35 billion tons of × carbon dioxide (CO2) was emitted worldwide due to fossil fuel combustion and cement production. Express this mass of CO, in grams without exponential notation, using an appro- priate metric prefix. m. 216.7 F to K

Explanation / Answer

Ans 1.30

Part a

Side of a cube = 1.500 cm

Volume of cube = (1.500 cm)3 = 3.375 cm3

Mass = 76.31 g

Density = mass/volume

= 76.31g / 3.375 cm3

= 22.61 g/cm3

Part b

Density of titanium = 4.51 g/cm3

Displaced volume = 125 mL x 1cm3/mL = 125 cm3

Mass of titanium = volume x density

= 125 cm3 x 4.51 g/cm3

= 563.75 g

Part C

Density of benzene = 0.8787 g/mL

volume = 0.1500 L x 1000 mL/L = 150 mL

Mass of benzene = volume x density

= 150 mL x 0.8787 g/mL

= 131.805 g

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