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Pressure and Volume - help6

The pressure of a sample of gas is dependent upon the volume of the gas. Increasing the volume will decrease the pressure. The two quantities are inversely proportional to one another. A quadling of the volume will cause the pressure of the gas to become one-fourth of its original value.

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

Version 1:

Observe the data table shown at the right for a sample of gas that has a constant temperature and number of particles. Use the data table to answer the next two questions.
 
When the volume of the gas is quadrupled (i.e., four times larger), the pressure of the gas becomes _____.
a. four times larger b. eight times larger
c. sixteen times larger d. one-fourth the size
e. one-eighth the size f. one-sixteenth the size
g. Not possible to tell
 
Which pairs of trials demonstrate this relationship? Select all that apply.
a. 1 and 2
b. 1 and 3
c. 1 and 4
d. 1 and 5
e. 2 and 4
f. 2 and 5
g. 3 and 4
h. 3 and 5

In this question, you need to analyze a set of data to determine the effect that a quadrupling of volume has upon the pressure of a gas (held at a constant temperature). The graphic below will provide some background to the topic. Study (and/or scan) the graphic and then return to the text that continues below the graphic.



 

Quadrupling Volume

A quadrupling of volume occurs between two trials whenever the value of volume in one trial is four times that of another trial. In the graphic directly above, Trials 1 and 4 are examples of quadrupling because Trial 4 has a volume (40.0 L) that is four times that of Trial 1 (10.0 L).

So to determine the effect that this quadrupling has, you will have to look at the corresponding pressure values for these two rows. For instance, the pressure values in the graphic above for Trials 1 and 4 are 2400 mm Hg and 600 mm Hg. Trial 4's pressure value is one-fourth the value of Trial 1. This indicates that a quadrupling of the volume leads to a one-fourthing of the pressure of the gas. That is, the new value of pressure is one-fourth of the original value.

You will need to apply the same type of thinking to the analysis of the Data Set provided in your question. Good luck.