The volume ( v) of a gas in a container at a constant temperature varies inversely as the pressure (p). If the volume of a gas is 24 cubic centimeters when the pressure is 16 pounds, what is the volume under a pressure of 30 pounds?

45 cubic cm
20 cubic cm
12.8 cubic cm

Question

The volume ( v) of a gas in a container at a constant temperature varies inversely as the pressure (p). If the volume of a gas is 24 cubic centimeters when the pressure is 16 pounds, what is the volume under a pressure of 30 pounds?

45 cubic cm
20 cubic cm
12.8 cubic cm

anonymous · Answer

@ribhu

jack1 · Answer

not 100% here, but if it varies inversely, does that mean v = k/p... so v * p = k
(where k is a constant)

jack1 · Answer

i think that works, so if the volume goes up, the pressure would decrease, yeah?

anonymous · Answer

No idea.

jack1 · Answer

ok, welll that works here... so using 
v = k/p (v is volume, p is pressure and k is a constant)
find k if v = 24 and p = 16

anonymous · Answer

I really don't know how to do these types of problems :/

jack1 · Answer

thats why i'm teaching you...
if you can do multiplication and division, you can solve these type of problems.

jack1 · Answer

$\Large V = \frac kP$
if v = 24 and p = 16... what does k = ?

anonymous · Answer

384

jack1 · Answer

yep, so that's the constant of this container of gas
now k stays = 384 and the new pressure (p) = 30, solve volume (V)
$\Large V = \frac kP$

anonymous · Answer

64/5?

jack1 · Answer

yep, done  ;)
also 64/5 in decimals is 12.8

anonymous · Answer

Ahhh thank you!

jack1 · Answer

sçool

jack1 · Answer

*s'cool