Q. 2.41 - An Introduction to General, Organic, and Biological Chemistry

Question

For each of the following pairs, which is the larger unit?
a. milligram or kilogram
b. milliliter or microliter
c. m or km
d. kL or dL
e. nanometer or picometer

Step-by-Step Solution

Answer

Part(a) kilogram is larger

Part(b) milliliter is larger 

Part(c) km is larger 

Part(d) kL is larger 

Part(e)  nanometer 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

$$\begin{gathered} 1ki\log ram={10}^{3}gram \\ 1 milligram={10}^{-3}gram \end{gathered}$$

Therefore, kilogram 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

$$\begin{gathered} 1L={10}^{3}mililiter \\ 1L={10}^{6}microliter \end{gathered}$$

Therefore, mililiter 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

$1km=1000m$

Therefore, km 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

$$\begin{gathered} 1kL=1000L \\ 1dL={10}^{-1}L \end{gathered}$$

Therefore, kL 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

$$\begin{gathered} 1m={10}^{9}nanometer \\ 1m={10}^{12}picometer \end{gathered}$$

Therefore, nanometer is larger