Question

What is the relationship between pressure and volume?

Answer 1

To find the relationship between pressure and volume we see Boyle’s law. Boyle’s law states that at constant temperature the volume of the given gas is inversely proportional to the pressure of the given amount of gas.

Complete step by step answer:
Scientists studied the links between a gas's pressure $(P)$ , temperature $(T)$ , volume $(V)$ , and amount $(n)$ by maintaining two of the four variables constant(for example, amount temperature. Adjusting a third (for example, pressure), and evaluating the impact of the adjustment on the fourth (in this case, volume).

Boyle's Law gives us the relationship between volume and pressure.Since the gas particles are pressed closer together as the pressure on the gas increases, the volume of the gas decreases. When the pressure on a gas is decreased, the volume of the gas increases because the gas particles have now more space to move.


From the above graphs, we can see $V \propto \dfrac{1}{P}$. A plot of $V$ versus $\dfrac{1}{P}$ is thus a straight line having a constant slope. The constant's numerical value is determined by the amount of gas used in the experiment as well as the temperature at which it is conducted.

Note: The law can be deduced from the kinetic theory of gases under the assumption of an ideal (perfect) gas. At sufficiently low pressures, real gases satisfy Boyle's law, though the product $pv$ tends to decrease slightly at higher pressures when the gas begins to deviate from ideal behavior.