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The volume of a sample of gas is dependent upon the Kelvin temperature of the gas. Increasing the Kelvin temperature increases the volume. The two quantities are directly proportional to one another. The ratio of Volume/Temperature remains constant. So if you know the V/T ratio for one state of the gas, you can use the ratio to determine the volume of the gas for a different temperature. Similarly, you can find the temperature requied to produce a different volume.
 

There are four questions in this Question Group. Each question is very similar to one another. The question below is one of the questions.
 

Version 1:

The pressure of a sealed container of gas is kept constant while the temperature is changed. This results in a change in the volume of the gas sample. Based on this information, complete the table below.

 

One characteristic that we observe of a sample of gas with a varying temperature and a constant pressure is that the ratio of the volume-to-temperature is the same value for varying temperatures. Even though the temperature changes, the ratio of volume to temperature remains constant. This behavior can be used to complete the table.

The
volume and temperature are known for the first row of the table. They can be used to determine the V/T ratio. We will refer to the result as k. Once determined, the remaining rows of the table can be filled in using the mathematical statement 

V/T = k


where k is the constant from the first row calculation. Since one of the two gas variables is known for all subsequent rows, the other gas variable can be calculated using the above equation.
 


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