Question

General Chemistry I Southern California University of Health Sciences Perform the following conversions. Make sure your answer has the correct number of significant digits. 6. a) 5.00 mm to cm 66.3 m2 to mL b) c) 71.63 g/cm' to mg/dm

Answer 1

a)

5.00 mm^(3) to cm^(3)

1 mm = 0.1 cm

so

5.00 mm^3 = 5.00*(0.1cm)^3 = 0.005 cm^3 = 0.00500 cm^3

b)

66.3 m^3 to ml

1 m^3 = 10^6 ml

so

66.3 m^3 = 66.3 * (10^6ml) = 66300000 ml

c)

71.63 g/cm^3 to mg/dm^3

1 g = 1000 mg

1 cm = 10 dm

so

71.63 * (1000mg/(10dm)^3) = 71.63 mg/dm^3

1)

we know that

density = mass/volume

given

pipette was incorrectly calibrated so it transferred less than 10 mL

so decrease in volume

as density is inversely proportional lo volume

density is larger

2)

given

mass = 42.91 g

volume = 40 mL

after filling

final mass = 103.26 g

so

mass of the unknown liquid is 103.26 g - 42.91 g = 60.35 g

hence

density = mass / volume = 60.35g/40 mL = 1.5 g/ml

1 ml = 1 cm^3

density = 1.5 g/cm^3

3)

given

length = 3cm

width = 4cm

height = 7cm

mass = 1.249 kg

volume will be length*breadth*height = 3*4*7 cm^3 = 84 cm^3

so

density = mass/volume = 1.249 kg/84cm^3 = 1.249 * 1000g/84cm^3 = 14.87 g/cm^3