Question

dimensional analysis hw
the following conversions may be useful
1 mi = 1.62 km
1 in = 2.54 cm
4 qt = 1 gallon
1 lb = 454 g
1 yd = 3 ft
1 ft = 12 in
1 qt = 946 ml
1 lb = 16 oz
part(a) one - step problems
a1. how many kg are in 1640 g?
a2. how many cm are in 19 inches?
a3. 14 oz is the same as how many lbs (pounds)?
a4. how many g are in 16822 mg?
a5. 4.80 qt is the same as how many ml?
a6. how many nmol are in 8.34 mol?

Explanation:

A1. Convert grams to kilograms

Use the conversion factor $1\ kg = 1000\ g$.
$1640\ g\times\frac{1\ kg}{1000\ g}=1.64\ kg$

A2. Convert inches to centimeters

Use the conversion factor $1\ in = 2.54\ cm$.
$19\ in\times2.54\ cm/in = 48.26\ cm$

A3. Convert ounces to pounds

Use the conversion factor $1\ lb = 16\ oz$.
$14\ oz\times\frac{1\ lb}{16\ oz}=0.875\ lb$

A4. Convert milligrams to grams

Use the conversion factor $1\ g = 1000\ mg$.
$16822\ mg\times\frac{1\ g}{1000\ mg}=16.822\ g$

A5. Convert quarts to milliliters

Use the conversion factor $1\ qt = 946\ mL$.
$4.80\ qt\times946\ mL/qt = 4540.8\ mL$

A6. It seems there is a mis - typing. Assuming you mean micromoles ($\mu$mol) to moles (mol), use the conversion factor $1\ mol= 10^{6}\ \mu$mol.

If it is nanomoles (nmol) to moles (mol), use the conversion factor $1\ mol = 10^{9}\ nmol$. Let's assume it's nanomoles.
$8.34\ nmol\times\frac{1\ mol}{10^{9}\ nmol}=8.34\times 10^{-9}\ mol$

Answer:

A1. $1.64\ kg$
A2. $48.26\ cm$
A3. $0.875\ lb$
A4. $16.822\ g$
A5. $4540.8\ mL$
A6. $8.34\times 10^{-9}\ mol$