Question

how many drops of water are in a 1.0 l bottle

Answer 1

Is this a serious question?

Answer 2

yes , the hint is start by estimating the diameter of a drop of water?

Answer 3

The diameter of a drop of water...

Answer 4

yes..

Answer 5

1 L = 20000 Drops

Answer 6

how?

Answer 7

Amount: 1 liter (l) in volume
Equals: 20,000.00 drops of water (drop - gtt SI)

Answer 8

would you please give me an answer by estimating the diameter of a drop of water?

Answer 9

How did you get 20,000? We don't know what the size of a drop of water is.

Answer 10

isn't it a 1.0 liter bottle?

Answer 11

http://www.traditionaloven.com/culinary-arts/volume/convert-liter-l-to-drop.html i got it from this

Answer 12

yes it is.

Answer 13

A drop of water varies.

Answer 14

would you please give me an answer by estimating the diameter of a drop of water?

Answer 15

Okay, but the size of a drop of water still varies. We won't be able to find the answer.

Answer 16

tell me whats the shape of a drop of water?

Answer 17

It's a spherical shape.

Answer 18

then we can assume that the diameter of a drop of water is .5mm? is that a right assumption?

Answer 19

Actually, we can /assume/ it's any diameter.

Answer 20

i know but using such assumptions we can conclude the drops in 1L.

Answer 21

You can assume it's 1mm, .6666mm, .89mm, etc.

Answer 22

wikipedia also says a drop is .05 ml and 20 drops per millliliter and therefore 20,000 drops per liter:
http://en.wikipedia.org/wiki/Drop_(unit)

Answer 23

yes .. but i dont need a correct answer, i need an estimated answer by estimating the diameter of a drop of water?

Answer 24

On that wikipedia page, it also says "There are several exact definitions of a "drop""

Answer 25

"The volume of a drop is not well-defined: it depends on the device and technique used to produce the drop, on the strength of the gravitational field, and on the density and the surface tension of the liquid"

Answer 26

yes we are dealing with estimations

Answer 27

Exactly, so you can use any reasonable number as the diameter of a drop.

Answer 28

and then whats the next step.. how to reach the conclusion of the number of drops in 1L?

Answer 29

You can just go off by what wold1728 said. "a drop is .05 ml and 20 drops per millliliter and therefore 20,000 drops per liter"

Answer 30

wolf1728*

Answer 31

One cubic meter = 1,000 liters = 1,000,000 milliliters
One milliliter would = 1 cm by 1 cm by 1 cm correct?

Answer 32

k..

Answer 33

So 1/20 of a ml would have dimensions of the cube root of 1/20 or 0.3684031499 cm on each side

Answer 34

what.. i dont get this?

Answer 35

So a cube of 0.3684031499 cm by 0.3684031499 cm by 0.3684031499 cm has a volume of a drop.
Now about figuring what a 0.3684031499 cm cube would measure if it were a sphere

Answer 36

yes?

Answer 37

Or figuring what is the radius of a .05 ml (OR .05 cubic centimeter) sphere is

Answer 38

how?

Answer 39

If the radius of the sphere is 0.22854 cm then the volume =
4/3 PI * r^3
.05 ml a drop

Answer 40

A perfectly spherical drop that has a radius of .22854 cm has a volume of .05 ml

Answer 41

lets not make it complicated but keep it simple.. this is a mechanics,1st yr question

Answer 42

Okay I'm just using the formula for spherical volume (4/3) * PI * r^3

Answer 43

yes i get that part

Answer 44

So we'd like to know what the dimensions of one drop would be right?

Answer 45

the radius you mean?

Answer 46

Do we need the dimensions of the drop?
If we just use the conversion factor of 20 drops to a milliliter you can go to the answer right from there.

Answer 47

but the question provides a hint stating that use the diameter of a drop of water

Answer 48

I don't know if that method would give you an exact answer.
Think of how spheres would not stack up neatly in a bottle.

Answer 49

you are right but this is my first chapter of mechanics

Answer 50

Could you type in the hint exactly as it is worded?

Answer 51

i did (hint: Start by estimating the diameter of a drop of water)

Answer 52

the question says you are using water to dilute small amounts of chemicals in a laboratory, drop by drop. How many drops are there in a 1L bottle? there you go?

Answer 53

That's a lousy hint. The diameter is 0.45708 cm.
If you started your guess by saying it is .22854 your volume would be incorrect by a factor of EIGHT

Answer 54

its supposed to be lousy, we are just beginners..

Answer 55

Well a prtty good way (since you are already diluting chemicals by drops) is to drop liquids into a graduated cylinder, count the drops look at the cylinder.

Answer 56

its not a practical question.. just some paper work and guessing is required

Answer 57

well if you are making guesses at the diameter of drops, they would expext you to calculate the volume of a drop correct?

Answer 58

Going by the diameter, the formula for sphere volume is:
(PI * Diameter^3) / 6

Answer 59

Just thought I'd post some "guesses" for you to use.

DIAMETER VOLUME
(Centimeters) (Milliliters)
0.10000 0.00052360
0.20000 0.00418879
0.30000 0.01413717
0.40000 0.03351032
0.45708 0.05000061
0.50000 0.06544985
0.60000 0.11309734
0.70000 0.17959438
0.80000 0.26808257
0.90000 0.38170351
1.00000 0.52359878

(as you know, .45708 cm is the correct "guess")