If pressure is directly proportional to temperature,volume is directly proportional to temperature?

Question

then why is pressure inversely proportional to volume?
I know that as we apply pressure, volume of gas goes on decreasing BUT how can this eqn be mathematically correct?

Answer 1

Boyle's Law pV=k



Boyle’s law states that at constant temperature for a fixed mass, the absolute pressure and the volume of a gas are inversely proportional. The law can also be stated in a slightly different manner, that the product of absolute pressure and volume is always constant.



Most gases behave like ideal gases at moderate pressures and temperatures. The technology of the 17th century could not produce high pressures or low temperatures. Hence, the law was not likely to have deviations at the time of publication. As improvements in technology permitted higher pressures and lower temperatures, deviations from the ideal gas behavior became noticeable, and the relationship between pressure and volume can only be accurately described employing real gas theory.[8] The deviation is expressed as the compressibility factor.



Boyle (and Mariotte) derived the law solely on experimental grounds. The law can also be derived theoretically based on the presumed existence of atoms and molecules and assumptions about motion and perfectly elastic collisions (see kinetic theory of gases). These assumptions were met with enormous resistance in the positivist scientific community at the time however, as they were seen as purely theoretical constructs for which there was not the slightest observational evidence.

Answer 2

The universal gas equation relates pressure, volume and temperature. The equation is



PV = RT where

P = pressure

V = volume

T = temperature in kelvin

R = universal gas constant.

From the equation one can note that

P is directly proportinal to the temperature and V also is directly proportional to the temp.

But when considerating the equation PV is on one side; hence P is inversely proportional.

Answer 3

let K be an appropriate constant

the relation between pressure P Temperature T and volume V of the closed container is:



PV = k T so use algebra and solve for P = , and V = , and T =

the experiments came before the equation

the trick was to hold one of the variables unchanged while changing one and measuring the third

Answer 4

No. It is part of the equation for drive of a fluid (gas or liquid) on a floor. Drive = strain * discipline ===> that you may change stress, area, or both. They are impartial of each other