# How do you rank the following measurements in order of increasing pressure: 4 kPa, .3 Pa, 16 N /m^2, 311 N /m^2?

Feb 13, 2017

See explanation.

#### Explanation:

To sort the values you have to transform them to the same unit. The basic unit of pressure is pascal (Pa) which can be written as:

## $1 P a = 1 \frac{N}{m} ^ 2$

The prefix kilo (k) means $1 , 000$ (one thousand). So the values (unsorted, in Pa) are:

$4 k P a = 4 , 000 P a$

$.3 P a = 0.3 P a$

$16 \frac{N}{m} ^ 2 = 16 P a$

$311 \frac{N}{m} ^ 2 = 311 P a$

Now, when all values are in the same units I can sort them:

$0.3 P a < 16 \frac{N}{m} ^ 2 < 311 \frac{N}{m} ^ 2 < 4 k P a$