Halliday, Resnick & Walker — The Kinetic Theory of Gases: Problem 41

41 Container A in Fig. 19-23 holds an ideal gas at a pressure of \( 8.0 \times 10^5 \text{ Pa} \) and a temperature of \( 250 \text{ K} \). It is connected by a thin tube (and a closed valve) to container B, with four times the volume of A. Container B holds the same ideal gas at a pressure of \( 1.0 \times 10^5 \text{ Pa} \) and a temperature of \( 450 \text{ K} \). The valve is opened to allow the pressures to equalize, but the temperature of each container is maintained. What then is the pressure?