Assume that temperature and number of moles of gas are constant in this problem.

Use the graph to complete the statement below.

This graph shows that pressure and volume have .

Question:

a. a direct linear relationship

b. an inverse linear relationship

c. a direct nonlinear relationship

d. an inverse nonlinear relationship

The correct option is;

d. An inverse nonlinear relationship

Explanation:

From the universal gas equation, we have;

P·V = n·R·T

Where we have the temperature, T and the number of moles, n constant, therefore, we have

P×V = Constant, because, R, the universal gas constant is also constant, hence;

P×V = C

Since P varies with V then the graphical relationship will be an inverse nonlinear as we have

VP    C

15         5

22.5      5

31.67     5

41.25     5

51          5

60.83    5

70.7      5

80.63    5

90.56    5

100.5      5

Where:

V = Volume

P = Pressure

C = Constant = 5

P = C/V

The graph is attached.