Question

The pressure inside a cylinder is inversely proportional to the volume of the gas inside it. when the volume of gas is 50 cm3 , the pressure is 400 kpa.

a) write a function to represent the pressure as a function of the volume.
b) sketch a graph of this function.
c) calculate the pressure for a volume of 75 cm3 .
d) as the volume increases, what happens to the rate of change of pressure?

Answer 1

a) The function is PV = K

b) The graph is shown in the image attached

c) The pressure is 266.7 Pa

d) As the volume increases, the pressure decreases.

What is the Boyle's law?

Boyle's Law, named after physicist Robert Boyle, is one of the fundamental principles in the field of gas physics. Boyle's Law describes the relationship between the pressure and volume of a gas at constant temperature.

We know that;

P α 1/V
P = pressure

V = volume

P = k/V

PV = K

Given that;

K = PV

K = 50 * 400

= 20000kPa
`cm^3`

If V = 75
`cm^3`

P = k/V

P = 20000kPa
`cm^3`/75
`cm^3`

P = 266.7 Pa