Question

WILL MEDAL AND FAN!!!!! PLEASE HELP!




A snorkeler takes a syringe filled with 14mL of air from the surface, where the pressure is 1.0 atm, to an unknown depth. The volume of the air in the syringe at this depth is 8.5mL .

a) What is the pressure at this depth?
b) If the pressure increases by 1 atm for every additional 10 m of depth, how deep is the snorkeler?

The answer to part a) is 1.6 atm. How do you solve part b) ?

Answer 1

@dumbcow

Answer 2

@cz1

Answer 3

please help

Answer 4

divide the rate by 10

---> Increase of .1 atm for every 1 m in depth

it increased by .65 atm so depth = 6.5

Answer 5

@dumbcow How did it increase by .65 atm

Answer 6

from 1 atm to 1.65 atm

i see you rounded it to 1.6

Answer 7

part a)
PV=nRT

so in this case, Boyle's law applies\[P \propto \frac 1V\]

Answer 8

x = .607

Answer 9

now add that to 1

Answer 10

x = 1.607

Answer 11

woops, let me do part a) again

Answer 12

for part b) we have a linear relationship....
so, (change in depth) / ( change in pressure) is constant

Answer 13

PV = nRT ,
PV = k, since n, R, and T are constant in the problem (we can assume that)

so we have
P1 *V1 = k
P2 *V2 = k

substitute

P1 * V1 = P2 * V2

Answer 14

For part a), I converted mL to L, and got 1.647atm.
I'm still stuck with part b)

Answer 15

you dont need to

Answer 16

(1 atm)*(14 mL) = (x atm) * (8.5 mL) , since the units cancel

Answer 17

yes i got 1.647 as well

Answer 18

its a good idea though to change to Liters , in general

Answer 19

ok, thanks.
could you please explain how to do part b

Answer 20

Change in Depth varies directly as change in Pressure

Answer 21

you can make an equation

we have

P = 1 atm , Depth = 0

P = 2 atm , Depth = 10 meters

Answer 22

@koook
the change in pressure is .647 right

for every .1 the depth goes down 1 meter

thus
depth = 6.47 m

Answer 23

Depth = 10*P -10

Answer 24

now plug in pressure from part a)

Answer 25

Depth = 10(1.647) - 10

Answer 26

THANK YOU SO MUCH @perl and @dumbcow and @PaxPolaris

Answer 27

:)

Answer 28

good job everyone

Answer 29

case closed :)