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SAT Math: Calculating Heating Time Using Proportion and Equations 7 Views


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Description:

When placed in a glass beaker on a hot plate at a moderate temperature, 5 milliliters of water heats up at a rate of 8 °C per second. The amount of time it takes to heat water increases linearly when heating greater amounts of water. Eduardo needs to boil 300 milliliters of water for a chemistry experiment. How many minutes would he need to wait for the water to reach its boiling point of 100 °C, given that the water's initial temperature is 25°C? Round your answer to the nearest tenth.


Transcript

00:01

Arch members knew section same grid thing here with the

00:06

circles squares and triangles in the little dunce cap here

00:09

right at the bottom I used to wear that a

00:11

lot All right here we go men Last play at

00:14

a moderate temperature Five milliliters water heats up at a

00:16

rate of degrees centigrade for second amount of time It

00:18

takes to keep water increases linearly when he'd in greater

00:19

amount of water and water With these guys you're about

00:21

one hundred meters of water for chemistry That's What you

00:23

need to wait for the water to reach it's boiling

00:24

point one hundred grand larceny attempted to raise your answer

00:26

in your hand right We're going up seventy five degrees

00:30

here from twenty five to one hundred boiling point and

00:33

it's increasing at eight degrees centigrade per second Arithmetically Meaning

00:37

steadily not geometrically or some other weird combo thing So

00:41

how do we think about this Well if you're not

00:43

a science fan pour you pretend that eduardo is actually

00:46

trying to make soup or coffee or whatever parade for

00:49

practice still applications Yet you too could be a barista

00:52

someday five milliliters of water rises eight degrees centigrade in

00:55

one second Since the problems says that heating time increases

01:00

leaning yearly with greater amounts of water While set up

01:03

a proportion to see how long it takes for three

01:05

hundred milliliters they heat up eight degrees centigrade it right

01:08

We have five milliliters is one second So three hundred

01:11

millilitres is how many seconds Well yeah It's a minute

01:13

Right Five over One three hundred over x Yeah The

01:16

expression tells us that three hundred million litres of water

01:18

heats up eight degrees centigrade in sixty seconds What a

01:21

convenient cohen kid ink Sixty seconds is one minute and

01:24

the problem wants the answer in minutes Who Who We

01:27

can say that two Hundred million litres of water heats

01:29

at eight degrees per minute Now we need to cook

01:32

up an equation to see how long it takes to

01:34

cook up the water Well the water temperature rises at

01:36

eight degrees centigrade a minute So this value is the

01:39

slope right there that represent the final temperature is sea

01:42

in the number of minutes of eating time is t

01:45

so c equals eight t one more thing The water's

01:48

already at twenty five degrees If it were zero well

01:51

we'd be playing around with ice Great for a hot

01:54

summer day Not great for a problem like this to

01:57

account for the water's initial temperature at twenty five is

01:59

the why in earth except in the equation Yeah just

02:02

c equals eighty plus twenty five hundred that's are boiling

02:06

point Their equals eighty plus twenty five track t from

02:10

outside to get seventy five equals eighteen Divide ate both

02:13

sides And while you get about nine point four Well

02:15

eduardo needs to wait nine point four minutes for that

02:18

soup or coffee or chemistry experiment Tio a boil Maybe

02:22

he can boil some tea while he waits Yeah Put

02:24

that hot water to use

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