CHEM 1406.  Unit Conversions Practice Problems

 

  1. Complete the following table by making equivalent conversions:
    1.                  mg                          cg               75.4     dg                           g                             kg
    2.                  mm                          m                            cm                          mm         0.0036 km
    3.                  kL                           dL                          mL          895.0      mL                          cL
    4.                  km2           2.5x10-4 m2                            cm2                         mm2                        dm2
    5. 0.0479     kg/L                       mg/dL                      dg/mL                   g/kL                       mg/cL
    6.                  kg/L                       lb/gal     1.54         g/cm3                     oz/in3                 mg/mL
    7.   15.0       in                            dm                          yd                          km                          mm
    8.                  g/fl-oz      5.50       mg/mL                   cg/L                       kg/m3                     lb/qt
  2. Perform the indicated unit conversions:
    1. Metric-Metric

                                                               i.      35.7 mg = ________ mg

                                                              ii.      187 cm = ________ dm

                                                            iii.      5.00 mL = ________ L

                                                            iv.      0.095 km = ________ m

                                                             v.      350 dg = ________ mg

                                                            vi.      1.003 kL = ________ dL

                                                          vii.      798 mm = ________ cm

                                                         viii.      760.0 cm =  ________ mm

    1. Metric and British

                                                               i.      0.50 ft  = ________ cm

                                                              ii.      20.0 miles = ________ km

                                                            iii.      8.0 fl-oz = ________ cm3

                                                            iv.      1.00x102 mL  = ________ qt

                                                             v.      1.8x102 g = ________ lb

                                                            vi.      0.000065 oz = ________ mg

                                                          vii.      75 cL = ________pt

                                                         viii.      4.00x102 gal = ________ kL

                                                             ix.      0.056 in = ________ mm

                                                              x.      440 yd = ________ m

                                                             xi.      1.00 tsp = ________ mL

    1. Compound Units

                                                               i.      14.7 g/cm3 = ________ lb/ft3

                                                              ii.      1.250x103 yd2 = ________ m2

                                                            iii.      7 drops/sec = ________ gal/wk

                                                            iv.      8.8 km/L = ________ mi/gal

                                                             v.      897 mi/hr = ________cm/sec

                                                            vi.      2.00x10-7 in = ________ mm

    1. Temperature

                                                               i.      20°C = ________ °F

                                                              ii.      77°F = ________ °C

                                                            iii.      373K = ________ °F

                                                            iv.      104°F = ________ °C = ________ K

                                                             v.      –20°C = ________ °F = ________ K

  1. Scientific (exponential) Notation.
    1. Rewrite in scientific notation:

                                                               i.      0.000125 mg = _____________ mg

                                                              ii.      93,000,000 miles (3 sig fig) = ______________ mi

                                                            iii.      175,000 m = _____________ m

    1. Rewite in standard decimal form

                                                               i.      2.0030 x 10-3 cm = ______________ cm

                                                              ii.      9.988 x 106 g = ____________ g

                                                            iii.      1.000 x 10-3 km