Its easier than you think... 0°C = 273.15 kelvin... each kelvin there after is 1 °C so 50°C is 323.15 kelvin.. From the text 10mV /K is 1 volt over 100°C and only 0.5V range you need.... So you can work out exactly what to do.... Hint 0 ~ 0.5v to 0 ~ 5v...
Thanks for your quick reply, so if I understood it right, I can simply use non-inverting amp with 2 resistors of 9kOhm and 1kOhm ( which will give 10 times gain) while connecting the sensor to the positive pin.