In specifying the equation of state, we will use the absolute temperature, denoted by t. We will introduce this concept later, but for now, we will take it as given. The absolute temperature is always...In specifying the equation of state, we will use the absolute temperature, denoted by t. We will introduce this concept later, but for now, we will take it as given. The absolute temperature is always positive, varying from zero (or absolute zero) to infinity. The ideal gas is then characterized by the equation of state pV=nkT where N denotes the number of molecules of the gas and k is a constant, known as Boltzmann’s constant.
Therefore in a time interval Δtj=Δx/vx,j, the number of gas molecules that strike the wall with x-component of the velocity Vx,j is given by \[\Delta n_{j}=\...Therefore in a time interval Δtj=Δx/vx,j, the number of gas molecules that strike the wall with x-component of the velocity Vx,j is given by Δnj=12njAΔx (During this time interval some gas molecules may leave the edges of the box, but because the number that cross the area per second is proportional to the area, in the limit as Δx → 0, the number leaving the edges also approaches zero.) The number of gas mol…
