The Mathematical Relationship Between Pressure And Volume

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The mathematical relationship that exists between pressure and volume when temperature and quantity are held constant is that pressure is inversely proportional to volume. This relationship is known as Boyle’s Law. P1 x V1 = P2 x V2. When the volume of a container is decreased, when still containing the same amount of molecules, more molecules will hit the sides of the container, thus increasing the pressure.

We were asked to graph pressure and the inverse of volume because the graph of pressure and inverse volume is inversely related to the graph of pressure and volume. The graph allows a visual representation of what being inversely related conveys.

The mathematical relationship that exists between volume and temperature when pressure and quantity are held constant is that volume is directly proportional to temperature. This relationship is known as Charles 's Law. (V1 / T1) = (V2 / T2). This relationship can be observed within a balloon placed within ice water and boiling water. Within the boiling water, the molecules within the balloon are moving faster, revealing high kinetic energy and a larger volume than the molecules within the balloon of the ice water.

The line of best fit reveals the y-intercept temperature as -10.61 K. This temperature represents when volume is also equal to zero. Absolute zero is when temperature is 0 K, leading to pressure and volume to also equal zero. The calculated number is slightly off from the actual, accepted value for absolute

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