A cylindrical glass beaker of height 1.272 m rests on a table.The bottom half of the beaker is filled with a gas, and the tophalf is filled with liquid mercury that is exposed to theatmosphere. The gas and mercury do not mix because they areseparated by a frictionless, movable piston of negligible mass andthickness. The initial temperature is 276 K. The temperature isincreased until a value is reached when one-half of the mercury hasspilled out. Ignore the thermal expansion of the glass and mercury,and find this temperature in kelvins.