Question

When water freezes, its volume increases by 10.1%.a) If 150 L of water freezes, what is the increase in volume?b) Estimate the original volume of water frozen if the increase in volume is 22 L.

Answer 1

• a. There was a 15.15L increase in volume, resulting in 165.15L.

,

• b. 217.82L was the original volume.

Step-by-step explanation

Given: When water freezes, its volume increases by 10.1%.

a. If 150 L of water freezes, what is the increase in volume?

To answer this part, we have to calculate multiply the proportion of the volume increase times the total volume (150L). The proportion is the percentage given divided by 100%

`(10.1\%)/(100\%)=0.101`

Now, we can multiply:

`150L\cdot0.101=15.15L`

which would be a total final volume of 165.15L.

b. Estimate the original volume of water frozen if the increase in volume is 22 L.

If the increase was 22L, then this would represent 10.1%. To know the original volume (100%), we would have to build the following relation:

`(x)/(100\%)=(22)/(10.1\%)`

Solving for x:

`x=(22)/(10.1\%)\cdot100\%`
`x=(22)/(0.101)`
`x=217.82L`