Question

Explain using complete sentences as well as sketch a graph of the relationship between the following variables of a gas when all other variables are held constant:

pressure and volume

pressure and temperature

volume and temperature

Answer 1

Pressure and volume relationship, Boyle's law

The relationship between pressure and volume of a gas is given by Boyle's law which states that at constant temperature, the pressure of a given mass of gas is inversely proportional to its volume

Mathematically, we have;

P ∝ 1/V

Please find attached the graph of the relationship between pressure and volume, created with MS Excel

Pressure and temperature relationship, Gay lussac's Law

The pressure of a given mass of gas is directly proportional with the absolute temperature of the gas, provided the volume remains constant

Mathematically, we have;

P ∝ T

Please find attached the graph of the relationship between pressure and temperature, created with MS Excel

Volume and Temperature relationship, Charles Law

The relationship between the volume of a given mass of gas and its pressure is given by Charles law, which states that the volume of a given mass of gas is directly proportional to its absolute temperature, given that the pressure of the gas is kept constant

Mathematically, we have;

V ∝ T

Please find attached the graph of the relationship between volume and temperature, created with MS Excel

Step-by-step explanation: