You can use op amp configured as an inverting amp with a feedback resistor selected to give the desired 5V change for a sensor temperature change of 100C (100µA change) at the summing junction. Then you add an input resistor of the proper value connected to a negative reference (stable) voltage to give the desired offset so that 0C (273µA) gives 0V output. Then since the inverting amp will go from 0V to minus 5V, you need to add another inverter with a gain of 1 at the output of the first op amp so that the output goes from 0V to plus 5V.
If you don't understand op amps well enough to follow the above suggestion then I suggest you do a Google search and read up on them, particularly inverting op amp circuits and summing junctions.