A glass tube sealed at both ends is 100cm long, It lies horizontally wth the middle 10cm containing mercury. The two eands of the tube contain air at `27^(@)C`and at a pressure 76cm of mercury. The air coumn on one side is maintained aot `0^(@)C`and the other side is maintained at `127^(@)C`. Calculate the length of the air column on hte cooler side. eglect the changes in the volume of mercury and of the glass.