Problem: Boyles Law: For a fixed quantity of gas at constant temperature, the volume of the gas is inversely proportional to its pressure.What would a plot of P versus 1/V look like for a fixed quantity of gas at a fixed temperature?

FREE Expert Solution

Recall that the ideal gas law is:


PV=nRT


The pressure and volume of a gas are related to the number of moles, gas constant and temperatureThe value nRT is constant

PV=constant


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Problem Details

The first graph has pressure on the x-axis, ranging from 0 to 3.0 with intervals of 1, and volume on the y-axis, ranging from 0 to 1.0 with intervals of 0.5. Volume decreases with increasing pressure as follows: pressure 1.0  correlates with a volume of 1.0.  1.1 pressure with 0.9 volume, 1.2 with 0.8, 1.4 with 0.7, 1.7 with 0.6, 2.0 with 0.5, 2.5 with 0.4, and 3.2 with 0.3.  The second graph has 1 divided by pressure on the x-axis, ranging from 0 to 1 with intervals of 0.5, and volume on the y-axis, ranging from 0 to 1.0 with an interval of 0.5. The line increases linearly. The data are described with the following data points: 0.3 and 0.3, 0.4 and 0.4, 0.5 and 0.5, 0.6 and 0.6, 0.7 and 0.7, 0.8 and 0.8, 0.9 and 0.9, and 1.0 with 1.0.
Boyles Law: For a fixed quantity of gas at constant temperature, the volume of the gas is inversely proportional to its pressure.

What would a plot of P versus 1/V look like for a fixed quantity of gas at a fixed temperature?

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