You are a chemical engineer to design a gas effusion system for a binary gaseous mixture A and B. In a steel cube of fixed volume of 0.1 m3 with the initial inner pressure of 1 atm filled with 50:50 molar mixture of A and B gases, the gases start to effuse out of the box. Your assistant measured that the volumetric effusion rate of A and B gases are Q = 0.001 m3 / min and A Q = 0.002 m3/min, respectively. It is also known that the molecular weight of A gas is two times B greater than that of B gas. For this case, you can assume that A and B molecules follow the ideal gas law at constant temperature. It can also be assumed that A and B gases do not interact each other. Now, please address following questions assuming constant temperature.

1. Please calculate the initial pressure of the A and B gases, respectively. 2. How long will it take for the pressure in the tank to 0.1% of the initial pressure? 3. What do you think about the required time you calculated in 2.2 if the A and B gases molecules attract each other? Please discuss your reasoning (max 500 words).