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After the label fell off a bottle containing a clear liquid believed to be benze

ID: 886223 • Letter: A

Question

After the label fell off a bottle containing a clear liquid believed 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 density of benzene at 15 °C as 0.8787 g/mL. Is the calculated density in agreement with the tabulated value? (b) An experiment 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/cm3? (The volume of a sphere is (4/3)nr3 where r is the radius.)

Explanation / Answer

a) Density = Mass / Volume

So as per given data Density of that liquid = 21.95 /25 = 0.878 g/ml

Yes it is in agreement with the tabulated value.

b) Volume of cyclohexane = Mass / Density = 15 / 0.7781 = 19.2777 ml

c) Spherical ball diameter = 5 cm

So radius = 5/2 = 2.5cm

Volume of spherical ball = 4/3r3 = 1.3333*3.14*2.5*2.5*2.5 = 65.4166 cm3 = 65.4166ml

Density = mass / volume

Mass = Density * Volume = 11.34* 65.4166 = 741.825grams