Question

The pressure in car tires is often measured in pounds per square inch (lb/in.2), with the recommended pressure being in the range of 25 to 45 lb/in.2. Suppose a tire has a pressure of 41.0 lb/in.2 . Convert 41.0 lb/in.2 to its equivalent in atmospheres.
41.0 Ib/in.^2= _____ atm

Answer 1

Can someone please help me understand how to convert between units and pressure im taking chemistry

Answer 2

do you have the definition of "atmosphere" ?

Answer 3

Which one? Atmospheres, millimeters of mercury, or Pascals

Answer 4

its atmosphere

Answer 5

The pressure of a gas can be measured in different units. One convenient unit of measure is called the atmosphere (atm) because it is based on atmospheric pressure. At sea level, the average pressure is 1 atm. As you get higher in altitude, the pressure steadily drops until you leave the atmosphere, where the pressure is very close to 0 atm.

Answer 6

1 atmosphere is 14.504 lbs/in^2

Answer 7

i hope this will help but any help i appreciate you

Answer 8

ok can you show me how did you get 14.504

Answer 9

I looked it up
https://en.wikipedia.org/wiki/Atmosphere_(unit)
it is a definition, so you can't figure it out, you have to look it up.

Answer 10

ok

Answer 11

to do the conversion, you could set up a ratio
\[ \frac{x }{41\ lbs/sq\ in}= \frac{1 \ atm}{14.504 \ lbs/sq\ in} \]

Answer 12

i was getting ready to ask you that so i divide 41Ib into 14.504

Answer 13

to find x, you would multiply both sides by 41 lbs/sq in

Answer 14

on the left side you would get 41/41 x which simplifies to 1*x or just x
on the right side you get 41/14.504 atm
simplify by dividing 14.504 into 41

Answer 15

im on that step now. I have 0.3537

Answer 16

do i need to round

Answer 17

41 divided by 14.5 (roughly) is close to 3, not 0.3537)

Answer 18

oh ok so you have 2.827 rounded off to 3

Answer 19

yes, they say how accurately they want the answer, but they use 41.0
so I would use 2.8 (one decimal)

Answer 20

understandable.... Well I appreciate you for showing me this it has been a while since i got back into school doing chemistry

Answer 21

as a double check of your answer, you could say
1 atm is about 14
2 atm is about 28
so 41 lbs/sq in has to be bigger than 2 atm

Answer 22

i am jatting this down for notes. thank you so much

Answer 23

that is how you would notice 0.3 is not correct

Answer 24

oh ok. cool

Answer 25

ok ttyl

Answer 26

if you have time, some of Khan's videos might be helpful
https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/unit_conversion/v/unit-conversion-with-fractions

Answer 27

thanks i will check it out