Two quantities in the ideal gas equation that are directly proportional:

Two quantities in the ideal gas equation that are indirectly proportional:
___and____
___and___

Two quantities in the ideal gas equation that are directly proportional are volume (V) and temperature (T).

Two quantities in the ideal gas equation that are inversely proportional are volume (V) and pressure (P).

Two quantities in the ideal gas equation that are directly proportional are pressure (P) and temperature (T).

Two quantities in the ideal gas equation that are indirectly proportional are volume (V) and pressure (P).

So,

Directly proportional:
- Pressure (P) and temperature (T)

Indirectly proportional:
- Volume (V) and pressure (P)

Two quantities in the ideal gas equation that are directly proportional are pressure (P) and temperature (T). This means that when one of these quantities increases, the other also increases, and when one decreases, the other also decreases.

To understand why pressure and temperature are directly proportional, we can refer to the ideal gas law equation:

PV = nRT

where:
P is the pressure
V is the volume
n is the number of moles of gas
R is the ideal gas constant
T is the temperature

In this equation, the volume (V), the number of moles of gas (n), and the gas constant (R) remain constant. Therefore, if we increase the pressure (P), the temperature (T) must also increase in order to maintain the equality in the equation.

Two quantities in the ideal gas equation that are inversely proportional are volume (V) and pressure (P). This means that when one of these quantities increases, the other decreases, and when one decreases, the other increases.

Again, referring to the ideal gas law equation:

PV = nRT

If we keep the number of moles of gas (n) and the temperature (T) constant, and then increase the volume (V), the pressure (P) will decrease in order to maintain the equality in the equation. Conversely, if we decrease the volume (V), the pressure (P) will increase.