Question

The volume of gas varies directly with temperature and inversely with pressure. Volume is 100
m^3 when temperature is 1508 degrees and pressure is 15 lb/cm^2. What is the volume when
the temperature is 2508 degrees and the pressure is 20 lb/cm^2....

Answer 1

anyone explain?

Answer 2

Ideal Gas Law PV=nRT

Answer 3

P is pressure, V is volume, n, is the number of molecules, R is a constant, and T is temperature. n and R will not change, so set up a ratio with the other values.

Answer 4

hmm?

Answer 5

i thought i answered this yesterday:

Gas Equation: PiVi/Ti = PfVf/Tf

PV= nrT is the ideal Gas LAw but for this better the given formula above

stands for
i= initial
f= final

what we know
Pi = 15 lb/cm^2.
Vi = 100 m3
Ti = 1508K
Pf = 20 lb/cm^2.
Tf = 2508 K
what we want is the final Volume
Vf= ????

lets plug these into the given equation:
PiVi/Ti = PfVf/Tf

(15)(100) / 1508 = (20)(Vf) / 2508

now for the math:
we divide both sides by 20 and multiply by 2508
20 and 2508 cancel on left side and we have

(15)(100)(2508) /(1508)(20) = Vf
put this in your calculator

i did not put the units --but they cancel leaving

=Vf in m3

Answer 6

49,893.8?

Answer 7

124.734