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PSAT 1.13 Math Diagnostic 179 Views


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Description:

PSAT 1.13 Math Diagnostic. What is the approximate concentration of hydronium ions?


Transcript

00:00

Sorry and here's your smoke usually brought to you by

00:05

a gn enemy The inspiration for that you know song

00:09

on the muppet show a kn enemy a gn enemy

00:16

All right check out this info A scientist I'm a

00:20

clown Fish and enemy speaking colonized on and toxins and

00:24

evil clown fish All right take a look at the

00:26

graph here to see surface But the scientist is also

00:32

studying effects of hydro monium ions age plus on clown

00:37

fish You cannot study hydro nehemiah directly but she can

00:41

study thie h which is the negative log of the

00:44

concentration of hydro ni um ryan's h plus in the

00:47

solution she collects data on sea surface ph from nineteen

00:51

hundred two thousand ten Data is displayed in the graph

00:55

above What is the approximate concentration of hydro nian ions

01:00

Agent plus for nineteen forty and here the potential answers

01:07

All right a lot of scientific mumbo jumbo here people

01:10

Fortunately we don't need to understand all of the mambo

01:12

or the jumbo in order to solve this problem Mainly

01:16

we just need to be able to read interpreted graph

01:18

and understand a little something about lager we're sad to

01:21

say has nothing to do with forming a band in

01:23

a heavily wooded area All right well we're interested in

01:27

the year nineteen forty which by consulting our graph we

01:29

can see was associated with a ph level of about

01:32

eight point one four We're told that ph is the

01:35

negative log of the concentration of hydro nea my aunt

01:39

So let's go ahead and straight up right this thing

01:42

out of formula eight point one four equals negative log

01:46

of vibranium ion looks legit since we're looking for the

01:51

concentration of hydro nia minds let's just call that tax

01:55

from now we'll be able to get rid of those

01:57

ugly brackets and that even uglier superscript plus sign that

02:01

way Ok so now we've just got eight point one

02:04

four equals the negative log of x Next we can

02:07

divide both sides by negative one Teo get negative Eight

02:10

point one Forty equals log x jazz where it's helpful

02:14

to know something about log log ax is the same

02:17

exact thing is log based ten of x which means

02:22

that we can rewrite our equation as x equals ten

02:26

to the negative eight point one for power and suddenly

02:29

we've got something our calculator can handle Multiplying all that

02:33

out we get seven point two four times ten to

02:35

the negative Nice which is answered a or the wind

02:38

Okay hi drone Iam ions No getting out of line 00:02:42.162 --> [endTime] now We've got our eye on you sir

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