Q. 2.40 - An Introduction to General, Organic, and Biological Chemistry

Question

Complete each of the following metric relationships:

(a)$1 mg =\underline{ } g$

(b)$1 mL = \underline{ } \mu L$

(c)$1 g =\underline{ }Kg$

(d)$1 g =\underline{ }mg$

Step-by-Step Solution

Answer

Required metric relations are:

(a) $1 mg =\underline{{10}^{-3}} g$

(b) $1 mL =\underline{1000} \mu L$

(c) $1 g=\underline{{10}^{-3}} Kg$

(d)  $1 g =\underline{1000} mg$

Part(a) Step 1: Given information

We need to fill in the blank

$1 mg =\underline{ } g$

Part(a) Step 2: Explanation

Using mass units, we get

$$\begin{gathered} \Rightarrow 1 g =1000 mg \\ \Rightarrow 1 mg = {10}^{-3}g \end{gathered}$$

Part(b) Step 1: Given information

We need to fill in the blank

$1 mL =\underline{ } \mu L$

Part(b) Step 2: Explanation

Using mass units, we get

$1 mL =\underline{1000} \mu L$

Part(c) Step 1: Given information

We need to fill in the blank

$1 g =\underline{ } Kg$

Part(c) Step 2: Explanation

Using mass units, we get

$1 g =\underline{{10}^{-3}} Kg$

Part(d) Step 1: Given information

We need to fill in the blank:$1 g= \underline{ } mg$

Part(d) Step 2: Explanation

Using mass units, we get

$1 g=\underline{{10}^{3 }} mg$