Temperature sensitive OP-AMP circuit

The purpose of this lab is to amplify a thermosensor to a specific output range.

Prelab:
We start with the LM35 temperature sensitive electronic device which produces 10 mV/°C.
We want to measure between 15 °C to 35 °C.
Using a difference amplifier, we shift and amplify the range of 150 mV - 350 mV to 0V - 5V.

To do so, we have V_2 = LM35, V_1 = 150 mV.
Our gain is 25, so R_f = 150 kΩ, and R_i = 6 kΩ.

Procedure: 
We start by building the circuit.

V_1 = Left pot, V_2 = Right pot

However to test the op amp, we made V_2 = 350 mV to see if the analysis was correct.

We then measure V_out = 5.05 V

Conclusion:

The lab was only a minor success. We were able to use our opamp to amplify 350 mV correctly into 5V by using power supply and voltage dividers to represent the LM35 at 35 degree C. However, when the LM35 was placed into the circuit, we failed to get the expected 5V output. Although there was not much evidence to suggest the LM35 was broken, it was the only possible conclusion for why the circuit failed when the LM35 was placed into it.