Question

Plz help with Algerbra word prob?

Answer 1

The volume of gas varies directly with temperature and inversely with pressure. Volume is 100m^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 2

if volume varies directly with temp, then when temp goes up, volume goes up,
also inversely and pressure goes up volume goes down.
so Volume = Temp/Pressure since this would represent as temp goes up volume goes and and the volume decreases and pressure does since a larger denominator gives a smaller number

Answer 3

also there is a proportionality number so the final equation is
V = kT/P where k is some number that makes the problem true.
you have given V T and P from the first 3 numbers. so find k, then
using the second numbers after temp and pressure change and the k found from before to find the new Volume

Answer 4

so 100 = k(1508)/15
you can solve for k
then
V = k(which is found)*2508/20

Answer 5

So V=124.6?

Answer 6

yes and the units on it is m^3

Answer 7

thnx so much then