To compensate the possibility of bursting in a 300,000Li tank containing octane initially at 250C, it was integrated by a movable roof that allows the expansion of the gas inside. If the designed...

To compensate the possibility of bursting in a 300,000Li tank containing octane initially at 250C, it was integrated by a movable roof that allows the expansion of the gas inside. If the designed temperature of the tank during the operation varies between 150C and 500C and the diameter of roof is 5000mm, determine the displacement (millimeters) of the roof during the minimum and maximum operating temperature assume that the pressure remains constant at atmospheric value for safety reason.