An insulated rigid tank is divided into two compartments

Chapter 4, Problem 140P

(choose chapter or problem)

An insulated rigid tank is divided into two compartments of different volumes. Initially, each compartment contains the same ideal gas at identical pressure but at different temperatures and masses. The wall separating the two compartments is removed and the two gases are allowed to mix. Assuming constant specific heats, find the simplest expression for the mixture temperature written in the form

\(T_{3}=f\left(\frac{m_{1}}{m_{3}}, \frac{m_{2}}{m_{3}}, T_{1}, T_{2}\right)\)

where \(m_{3}\) and \(T_{3}\) are the mass and temperature of the final mixture, respectively.

Equation Transcription:

Text Transcription:

T_3=f(m_1/m_3,m_2/m_3,T_1,T_2)

m_3

T_3