Answer:
Pressure is inversely proportional to the volume of a gas at constant temperature and number of moles
Temperature is directly proportional to volume at constant pressure and number of moles
Volume is directly proportional to the number of moles of a gas at constant temperature and pressure
Explanation:
The ideal gas law is derived from a combination of the Boyle's, Charles' and Avogadro's law of gases.
Boyle's law states that at constant temperature, the volume of a given mass of gas (number of moles of gas is constant) is inversely proportional to the pressure exerted by the gas.
V ∝ 1/P (at constant n, T)
Charles'law states that at constant pressure, the volume of a given mass of gas (constant amount, n) is directly proportional to the temperature of the gas; V ∝ T (at constant n, P)
Avogadro’s law states that at constant temperature and pressure, the volume of a given mass of gas is directly proportional to the number of moles of gas present; V ∝ n(at constant T, P)
Combining the three equations gives the following relationship: V ∝ nT/P
By inserting a proportionality constant called the molar gas constant, R, in the relationship above, the ideal gas equation is derived as follows:
V = nRT/P or PV = nRT
