Question

Which graph shows the pressure-volume relationship expected for an ideal gas? (This is an illustration of Boyle's law.)
Question 11 options:

A)

Graph B

B)

Graph C

C)

Graph D

D)

Graph A

Answer 1

Answer:

D

Explanation:

The graph of Boyle's law is known as pressure-volume graph or PV curve. It is as follows:

As observed from the graph above, pressure increases with a decrease in volume, and vice versa. Thus, pressure is inversely proportional to volume. Other parameters (temperature and amount of gas) are constant in the graph above.

Volume is on the x-axis and pressure, on the y-axis. The equation of the curve is PV = k, which is the equation of Boyle's law. The curve is hyperbolic in nature having two asymptotes: P = 0 (horizontal) and V = 0 (vertical).

As volume tends to positive infinity, pressure tends to zero, and we get the horizontal asymptote, P = 0.

Horizontal asymptote, P=0

When volume approaches zero, pressure approaches infinity, and it results in the vertical asymptote, V = 0.

Answer 2

The graph which shows the pressure-volume relationship expected for an ideal gas is: C)  Graph D.

Boyle's states that when the temperature of an ideal gas is kept constant, the pressure of the gas is inversely proportional to the volume occupied by the gas.

Mathematically, Boyle's law is given by the formula:

$PV = k$

Where;

• P is the pressure of an ideal gas.

• V is the volume of an ideal gas.

For the illustration of Boyle's law using a graph, volume is represented on the x-axis while pressure is represented on the y-axis.

Generally, the graph of Boyle's law is a hyperbolic curve with two asymptotes:

• P = 0 (horizontal axis).

• V = 0 (vertical axis).

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