Unit Conversions Desalination - PowerPoint Presentation

Slide1

Unit Conversions

Desalination

Thematic Unit – Day 1

Some Crucial Units of Measurement

Gallons

Liters (

Litres

is an alternate spelling)

Acre

Acre-Foot

Dollars per Gallon (Dollars/Gallon)

Dollars per Liter (Dollars/Liter)

Gallons and Liters

Gallons are a unit of volume in the customary or English system of measurement.

Liters are a unit of volume in the metric system of measurement. In the metric system of measurement, the amounts of each smaller unit that equal a larger unit follow a pattern based on multiples of 10.

Converting Gallons Within Customary System

1 Gallon = 4 Quarts

1 Quart = 2 Pints

1 Pint = 2 Cups

1 Cup = 8 Fluid Ounces

Converting Liters Within the Metric System

1 Kiloliter = 1,000 Liters

1 Hectoliter = 100 Liters

1 Dekaliter = 10 Liters

1 Liter

= 10 Deciliters

1 Liter = 100 Centiliters

1 Liter = 1,000 Milliliters

General Rules – Converting Units in Same System

If you are converting from a smaller unit to a larger unit:

For example, going from quarts to gallons:

28 quarts = _____ gallons

Going from the given unit to the new unit, we are going to a

LARGER

unit……so it will take

LESS OF THEM

to make the same amount……we want our number to get smaller, so we divide. We divide by how many

Quarts

make a

Gallon

.

We divide by 4, so it is 7 gallons.

General Rules – Converting Units in Same System

If you are converting from a larger unit to a smaller unit:

For example, going from Liters to Milliliters:

24 Liters = _______ Milliliters

Going from the given unit to the new unit, we are going to a

SMALLER

unit……so it will take

MORE OF THEM

to make the same amount……we want our number to get larger, so we multiply. We multiply by how many

Milliliters

make a

Liter

.

We multiply by 1,000, so it is 24,000 milliliters.

Converting Units Between Systems

Since GALLONS and LITERS are members of entirely different systems of measurement, we have an approximate conversion of how many liters would be equal to one gallon.

Approximately 3.79 liters = 1 gallon.

We would convert between

LITERS

and

GALLONS

the same way we convert between units of the same system of measurement.

Converting Between Liters & Gallons

3.79 Liters ≈ 1 gallon

Let’s say we wanted to find out how many liters were in 58 gallons.

58 gallons = ___ liters

We are going to the

SMALLER

unit, so it will take

MORE OF THEM

. So we will want to

MULTIPLY

by the number of liters. So,

58 × 3.79 = 219.82

.

So, there are approximately 219.82 liters in 58 gallons.

Converting Between Liters & Gallons

3.79 Liters ≈ 1 gallon

Let’s say we wanted to find out how many gallons would be equal to 8,540 liters.

8,540 liters = ____gallons

We are going to the

LARGER

unit, so it will take

LESS OF THEM

. So we will want to

DIVIDE

by the number of liters. So,

8,540 ÷ 3.79 = 2,253.3, roughly

.

So, there are approximately 2,253.3 gallons in 8,540 liters.

Acres

An

ACRE

is a unit that is used to measure units of area, usually on land.

An

acre

is equal to

43,560 square feet

. The shape of the area or its dimensions do not matter, only the area of the space.

The most common dimensions of an acre are 660 feet × 66 feet……in other cases, this can be referred to as ‘

one furlong

×

one chain

’.

If we had an acre that was a perfect square, its dimensions would be approximately 208.71 feet × 208.71 feet; or often called 209 feet square.

Acre-Feet

An

ACRE-FOOT

is a shape that is a

rectangular prism

.

This rectangular prism would have bases that equaled one acre, and the depth would be

one foot

. Each of these diagrams represents an acre-foot.

208.71 feet

208.71 feet

1 foot

660 feet

66 feet

1 foot

For reference – ECMS field is about 2 acres!

Acre-Feet and Gallons

One Acre-Foot of Water is about 325,000 Gallons

325,000 Gallons = 1 Acre-Foot

____Gallons = 25 Acre-Feet?

186,875,000 Gallons = ____Acre-Feet?

One Acre-Foot of Water is about 1233.5 Cubic Meters

For reference - ECMS Field is about 2 acres.

Dollars per Gallon

It is stated that the average cost to turn 1 acre-foot of salt water into fresh water is $800 - $1,400. If 1 acre-foot is about 325,000 gallons of water, we can use this to find out a cost per gallon. I am using $1,100 as an average cost to convert 1 acre-foot of water.

1,100 dollars

325,000 gallons

= 1,100 ÷ 325,000 = 0.00338462 dollars per gallon

Cost to Convert Water

What if there were a need to convert 600 acre-feet of water? Let’s walk through the calculations: 1 acre-foot of water = 325,000 gallons.

600 × 325,000 = 195,000,000 gallons

If the average is $1,100 for 325,000 gallons, then we can multiply $1,100 x 600 to calculate the cost per acre-foot…..$1,100 × 600 = $660,000. It would cost a total of

$660,000

to convert this amount of water.

Dollars per Liter

Since we know that 1 Gallon is approximately 3.79 liters, if an amount given is in liters, divide by 3.79 to get gallons…….if it is in gallons and we need liters, we can multiply by 3.79!