The average kinetic energy of a molecule in an ideal gas is directly proportional to the absolute temperature of the gas, given by the formula KE_avg = (3/2)kT.

The average kinetic energy of a molecule in an ideal gas is directly proportional to the absolute temperature (T) of the gas.

The mean free path is affected by temperature, density, and size of the molecules, but not by the color of the gas molecules.

According to Gay-Lussac's law, for a fixed amount of gas at constant volume, the pressure is directly proportional to the absolute temperature.

The root mean square speed of gas molecules is given by the formula v_rms = √(3RT/M), where R is the gas constant, T is the temperature, and M is the molar mass.

In an ideal gas, the volume occupied by the gas molecules is considered negligible compared to the total volume of the gas.

In an isothermal process, the temperature of the gas remains constant.

In an ideal solution, the enthalpy of mixing is zero, indicating no heat is absorbed or released during mixing.

In an irreversible process, the change in entropy of the universe is positive, indicating that the total entropy increases.

An isochoric process is characterized by constant volume, meaning the volume does not change.

In an isochoric process, the volume remains constant, and any heat added to the system increases the internal energy.

In an isochoric process, the volume remains constant, and any heat added increases the internal energy of the gas.

In an isochoric process, the volume of the system remains constant.

In an isochoric process, the volume remains constant.

In an isothermal process, the temperature remains constant, which implies that the internal energy of an ideal gas also remains constant.

In an isothermal process for an ideal gas, the temperature remains constant, and thus the internal energy also remains constant.

In an isothermal process, the temperature remains constant, hence the change in internal energy is zero.

In an isothermal process for an ideal gas, the temperature remains constant, hence the change in internal energy is zero.

For an ideal gas, the internal energy is a function of temperature. In an isothermal process, the temperature remains constant, hence the internal energy remains constant.

According to Boyle's Law, P1V1 = P2V2. If V2 = 2V1, then P2 = P1/2.

For an ideal gas, the internal energy depends only on temperature. Since the temperature remains constant in an isothermal process, the internal energy also remains constant.

In an isothermal process, the work done by the gas is given by W = nRT ln(Vf/Vi).

In an isothermal process, the work done by the gas is given by W = nRT ln(Vf/Vi).

In an isothermal process, the temperature of the system remains constant.

In an isothermal process, the temperature of the system remains constant.

In an isothermal process, the temperature remains constant.

The time constant τ in an RL circuit is defined as τ = L/R, where L is the inductance and R is the resistance.

The time constant τ for an RL circuit is given by τ = L/R, where L is the inductance and R is the resistance.

Net reactance = XL - XC = 10Ω - 5Ω = 5Ω.

Net reactance X = XL - XC = 30Ω - 20Ω = 10Ω.