Q. 2.39 - An Introduction to General, Organic, and Biological Chemistry

Question

Complete each of the following metric relationships:

(a) $1 m = \underline{ } cm$

(b) $1 m = \underline{ } nm$

(c) $1 mm=\underline{ } m$

(d) $1 L=\underline{ } mL$

Step-by-Step Solution

Answer

Required metric relations are:

(a)$1 m =\underline{100} cm$

(b)$1 m =\underline{{10}^9} nm$

(c)$1 mm =\underline{{10}^{-3}} m$

(d)$1 L =\underline{1000} mL$

Part(a) Step 1: Given information

We need to complete the blank

$1 m=\underline{ } cm$

Part(a) Step 2: Explanation

As we know that $1$meter scale is equally divided into 100 parts each representing $1 cm$

Hence ,$1 m=100 cm$

Part(b) Step 1: Given information

We need to complete the blank :$1 m =\underline{ } nm$

Part(b) Step 2: Explanation

Using scales units, we get

 $\Rightarrow 1 m={10}^9 nm$

Hence, $1 m = {10}^{9 }m$

Part(c) Step 1: Given information

We need to complete the blank

$1 mm = \underline{ } m$

Part(c) Step 2: Explanation

Using unit measurement we get,

$$\begin{gathered} \Rightarrow 10 mm = 1 cm \\ \Rightarrow 100 cm = 1 m \\ \Rightarrow 1 mm ={10}^{-3 }m \end{gathered}$$

Hence, $1 mm =\underline{{10}^{-3} }m$

Part(d) Step 1: Given information

We need to complete the blank

$1 L =\underline{ }mL$

Part(d) Step 2: Explanation

Using measurements we get, 

$1 L= \underline{1000} mL$