Q. 2.42 - An Introduction to General, Organic, and Biological Chemistry

Question

For each of the following pairs, which is the smaller unit?
a. mg or g
b. centimeter or nanometer
c. millimeter or micrometer
d. mL or dL
e. centigram or megagram

Step-by-Step Solution

Answer

Part(a) g is larger

Part(b) centimeter is larger 

Part(c) millimeter is larger 

Part(d) dL is larger 

Part(e) megagram is larger 

Part(a) Step 1 : Given information

We are given two units. we have to find which is larger.

Part(a) Step 2 : Simplify

As we know 

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

Therefore, g is larger.

Part(b) Step 1 : Given information

We are given two units. we have to find which is larger.

Part(b) Step 2 : Simplify

As we know 

$$\begin{gathered} 1m={10}^{9}nanometer \\ 1m={10}^{2}centimeter \\ {10}^{2}centimeter={10}^{9}nanometer \end{gathered}$$

Therefore, centimeter is larger.

Part(c) Step 1 : Given information

We are given two units. we have to find which is larger.

Part(c) Step 2 : Simplify

As we know 

$$\begin{gathered} 1m={10}^{3}millimeter \\ 1m={10}^{6}micrometer \\ {10}^{3}millimeter = {10}^{6}micrometer \end{gathered}$$

Therefore, millimeter is larger

Part(d) Step 1 : Given information

We are given two units. we have to find which is larger.

Part(d) Step 2 : Simplify

As we know,

$$\begin{gathered} 1L={10}^{3}mL \\ 1L=10 dL \end{gathered}$$

Therefore, dL is larger.

Part(e) Step 1 : Given information

We are given two units. we have to find which is larger.

Part(e) Step 2 : Simplify

As we know

$$\begin{gathered} 1g={10}^{2}centigram \\ 1g={10}^{-6}megagram \end{gathered}$$

Therefore, megagram is larger