Question

Consider a box with two chambers labeled 1 and 2. Each chamber is filled with identical ideal gases that are initially at the same pressure,

temperature, and volume; and the vertical wall between the chambers is free to move without transferring any thermal energy or gas between

the chambers. Each chamber starts at an initial volume of 2 m^3 and pressure 100 kPa. We then heat the gas of Chamber 1, which causes the

dividing wall to move. When the wall comes to rest, Chamber 1 has an absolute temperature that is 50% higher than Chamber 2. Given that

the dividing wall has a cross-sectional area of 1 m^2, how far has the wall moved from its original position?

Answer 1

Solution Let the partition wall moved by X m So New volume of Chamber I am v=2m3 + xm3 = (2+xm- and new volume at Chamber2 = 2 V2 = (2-x) m3 so from PV = P2 V 2 105x2 = R (2+3)= B. (2-) be Pia entre 12 (2-x) I P=P2 and P2 = 2x los Tz But well stops maring = PI =P2 so 2x105 I = 2x105 T2 OR I L = 72 or list2 = 12 105 (2-x) = 2+X or 1 = 2,5 X = X= on4 m 2+x 2 -X 2.5 Forum