Which of these 6 choices describe the equation below? It could be more than 1 answer.

Question

Consider the equation pV=kTN where k is a constant. Select all of the correct answers that describe this variation between variables.

1. T varies directly with V
2. p varies directly with T
3. N varies inversely with V
4. N varies inversely with T
5. p varies inversely with N
6. V varies inversely with p

Answer 1

PV = kTN

P = atmospheric pressure

V = volume of a gas

T = absolute temperature

N = number of moles

k = universal gas constant

We want to look at different gas laws in order to understand how each variable are related.

Boyle's law states that "the volume of a given mass of a gas is inversely related to its pressure when its temperature is kept constant."

PV = k₁ or P₁V₁ = P₂V₂ (Option 6 is correct)

Charles' law states that "the volume of a given fixed mass of a dry gas is directly proportional to its absolute temperature at a constant pressure."

V/T = k₂ or V₁/T₁ = V₂T₂ (Option 1 is correct)

Gay-Lussac's law states that "the pressure exerted by a given mass and constant volume of an ideal gas on the sides of its container is directly proportional to its absolute temperature."

P/T = k or P₁/T₁ = P₂T₂ (Option 2 is correct)

Avogadro's law states that "the volume occupied by an ideal gas at a constant temperature is directly proportional to the number of molecules of the gas present in the container."

V₁/N₁ = V₂/N₂ (Option 3 is incorrect because V is not inversely related to N)

If the variables are on the same side of the equal sign, they vary inversely.

If the variables are on the opposite side of the equal sign, they vary directly.

Therefore, Options 1, 2, 4, and 6 are the correct statements.