The volume V of a gase varies inversely as the pressure P. The volume of a gas is 280 centimeres cubes under a pressure of 25kg/cm squared What will be its volume under a pressure of 40kg/cm squared?
2006-11-10 12:00:22 · 6 answers · asked by rwwebber4 2 in Science & Mathematics ➔ Mathematics
V = volume
P = pressure
k = unknown variable
use the equation
V = k / P
V = 280 cubic cm
P = 25 kg/cm
plug these variable into your equation
k = 7000
If P = 40 kg / cm and k = 7000,
then V = 175 cubic cm
Answer
175 cubic cm.
2006-11-10 12:07:12 · answer #1 · answered by trackstarr59 3 · 0⤊ 0⤋
okay. create a proportion:
280/25=x/40 where x is the volume under 40kg/cm squared
Then cross multiply : 25x=(280)(40)
which equals: 25x= 11200
then divide 25: x= 448
2006-11-10 20:16:59 · answer #2 · answered by lilmaddskillz 2 · 0⤊ 0⤋
V α 1/P
ie PV = k
So P1V1 = P2V2
25*280 = 40*V2
So V2 = 25*280/40
=175 cm³
2006-11-10 20:06:59 · answer #3 · answered by Wal C 6 · 0⤊ 0⤋
There is a standard rule:
P(initial)*V(initial)=P(final)*V(final)
So you have (25kg/cm^2)(280cm^3)=(40kg/cm^2)*V(final)
so [(25kg/cm^2)(280cm^3)] / (40kg/cm^2) = 175cm^3
2006-11-10 20:12:22 · answer #4 · answered by Anonymous · 0⤊ 0⤋
44.8 cubic centimeters
2006-11-10 20:04:34 · answer #5 · answered by dennismeng90 6 · 0⤊ 0⤋
sorry dont know
2006-11-10 20:06:02 · answer #6 · answered by lazarus 1 · 0⤊ 1⤋