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4 votes
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 .

2 Answers

3 votes

Answer: A direct linear relationship

Step-by-step explanation:

6 votes

Question:

a. a direct linear relationship

b. an inverse linear relationship

c. a direct nonlinear relationship

d. an inverse nonlinear relationship

Answer:

The correct option is;

d. An inverse nonlinear relationship

Step-by-step 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


P = (C)/(V)

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

V P C

1 5 5

2 2.5 5

3 1.67 5

4 1.25 5

5 1 5

6 0.83 5

7 0.7 5

8 0.63 5

9 0.56 5

10 0.5 5

Where:

V = Volume

P = Pressure

C = Constant = 5

P = C/V

The graph is attached.

Assume that temperature and number of moles of gas are constant in this problem. Use-example-1
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User Terri
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