Question

Create a graph of the pH function either by hand or using technology. Locate on your graph where the pH value is 0 and where it is 1. You may need to zoom in on your graph.

Answer 1

@ganeshie8 @mathmale @mathstudent55 @ParthKohli

Answer 2

I need help please, I need this done ASAP.

Answer 3

@mathstudent55

Answer 4

@mathmale

Answer 5

@whpalmer4

Answer 6

I'm sorry to bug you, no one else acknowledged my question.

Answer 7

what is the definition of the pH function, in mathematical terms?

Answer 8

If you ever swam in a pool and your eyes began to sting and turn red, you felt the effects on an incorrect pH level. pH measures the concentration of hydronium ions and can be modeled by the function p(t) = −log10t. The variable t represents the amount of hydronium ions; p(t) gives the resulting pH level.

Water at 25 degrees Celsius has a pH of 7. Anything that has a pH less than 7 is called acidic, a pH above 7 is basic, or alkaline. Seawater has a pH just more than 8, whereas lemonade has a pH of approximately 3.

Answer 9

right. \[pH= -\log_{10}(t) \]
can you graph that?

Answer 10

I can with technology

Answer 11

ok, that appears to be allowed here...

Answer 12

just a moment

Answer 13

Sorry, I tried 2 different softwares and they didnt work. I dont have a graphing calculator either

Answer 14

well, maybe we don't need to turn in a graph for the answer. it just asks you to locate those points where pH = 1 and pH = 0

Answer 15

I believe you are right, i read over it and it just asks to locate where the points where its 0 and 1

Answer 16

Can you determine the corresponding values of \(t\)?

Answer 17

No, to be honest. Im going ahead so i can get my collaboration done for virtual school so i am not to great with this section.

Answer 18

If you want to stop helping me, I understand.

Answer 19

Well, \[pH = -\log_{10}(t)\]\[1 = -\log_{10} (t)\]\[-1 = \log_{10}(t)\]That means that \(t\) has value \(t=10^{-1}\) because the \(\log_{10}(t) = -1\)

Answer 20

Ok I understand decently now

Answer 21

and similarly
\[0 = -\log_{10}(t)\]\[0 = \log_{10}(t)\]\[t=1\]because \(\log_{10}(1) = 0\)

Answer 22

I found some graphs for you to look at:

http://www.tiem.utk.edu/~gross/bioed/webmodules/phgraph1.gif
http://www.tiem.utk.edu/~gross/bioed/webmodules/phgraph2.gif

The first is what you get if you try to make a "straight" plot of pH vs. \(t\). Not very useful, but you can see why the problem suggests you might need to zoom in.

The second is a logarithmic plot, and much more useful. You can actually see stuff :-)

Answer 23

Thank you, so would i graph, \[\log_{10} (1) \] and \[\log_{10} (0)\] ?

Answer 24

brb sorry

Answer 25

back

Answer 26

im going to be honest, idk what to graph

Answer 27

I probably sound retarded but i just cant grasp what to do.

Answer 28

your graph would be pH vs. concentration. value of pH will be -Log10 (concentration). Look at the first link I gave you; that's the graph right there, except it doesn't go quite to a pH of 0

plot -Log(x) for x from 0 to 1

Answer 29

Here's a graph:

Answer 30

I got (1,0) and its hard to find 0

Answer 31

In both of our graphs, it looks like 0 is going to infinity

Answer 32

because im not understanding and i feel like im wasting your time

Answer 33

this graph here is just showing a small portion of the curve. pH = 0 is the spot at the bottom right where the concentration is 1.0. The concentration is 100%. 1 mole of H+ ions per liter of water.

pH = 1 is the spot near the left where the concentration is 0.1, as shown by the intersecting grid lines in the attached graph.

Answer 34

that's a concentration of 0.1 moles per liter of water

Answer 35

So would the coordinate be (0,1)?

Answer 36

My internet is laggy so that's why I just saw this reply

Answer 37

The website won't load, so I have to look at it from my phon

Answer 38

I restarted my computer and the website still won't load.

Answer 39

@Hero

Answer 40

@phi

Answer 41

The coordinate marked off by the grid lines is (0.1, 1)

Answer 42

ok, would i switch them though? it seems like the graph is opposite of a normal graph, thats why

Answer 43

How far did you get ?

Answer 44

not to far, im incompetent with this so heads up if you want to spend a while helping me

Answer 45

for a quick start, try this site:
https://www.desmos.com/calculator

and type in
y= -log(x)

Answer 46

ok

Answer 47

i did it

Answer 48

can you post a screen shot ?

Answer 49

yes

Answer 50

to find where the pH is 0 , you want the x value where y is zero
(y is the pH in this graph)
put your finger on the y-axis and find the y=0 (it's where the x and y axes cross)
move sideways until you reach the curve.
can you read off how far along the x-axis you are?

Answer 51

If you can "zoom in", it will probably relabel the x-axis with more numbers

Answer 52

hold on sorry, i almost blew up my kitchen

Answer 53

im back

Answer 54

sorry

Answer 55

find where the pH is 0 , you want the x value where y is zero
(y is the pH in this graph)
put your finger on the y-axis and find the y=0 (it's where the x and y axes cross)
move sideways until you reach the curve.
can you read off how far along the x-axis you are?

Answer 56

1

Answer 57

ok , you just did
Locate on your graph where the pH value is 0
you found when t = 1 (we use x because the software uses x and y) but I think the formula uses pH and t

Answer 58

ok, yes, is that it?

Answer 59

they also want where the pH is 1

put you finger on the y-axis, and move up until you are at y=1
now move sideways until you reach the curve. How far over did you move i.e. what x value?

Answer 60

0.1

Answer 61

so the answer to where is the pH 1 is t=0.1

Answer 62

ok, how should i put that in words? When the pH value is 0, the there is 1 hydronium ion and when the pH value is 1 there is 0.1 hydronium ions.

Answer 63

It sounds right to me

Answer 64

I know it has something to do with the concentration H ions, but not the details
I would guess it is the number of ions per some volume?

Answer 65

I'm reading it, and it makes sense( what i said)

Answer 66

Do you mind helping me with the second part tomorrow? I have some other stuff to do, and i have to eat