Q58 E - Chemistry (OpenStax)

Question

Write conversion factors (as ratios) for the number of: 

(a) kilometers in 1 mile 

(b) liters in 1 cubic foot 

(c) grams in 1 ounce

Step-by-Step Solution

Answer

(a) 1.6093 km/mile

(b) 28.317 L/\(f{t^3}\)

(c) 31.103 gm/oz 

Step1: Common conversion factor:

A unit conversion factor is a ratio of two equivalent amounts expressed in different measuring units.

Step 2: Explanation for kilometers in 1 mile:

No. of miles in 1km = 0.62137mile so,

Conversion factor becomes                                               

  \(\frac{{1.6093km}}{{1mile}}\).

Step 3: Explanation for liters in 1 cubic foot:

No. of liters in 1 ft³= 28.317L.

Conversion factor becomes

                                                     \(\frac{{28.317L}}{{1f{t^3}}}\)

Step 4: explanation for grams in 1 ounce:

No. of gm in 1 oz = 31.103g. 

Hence, conversion factor becomes

                                                            \(\frac{{31.103g}}{{1oz}}\)