Hi,
well done.
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with 5V excitation you get a maxoutput voltage of 5mV.
If you want it to be amplified to 5V then you need a gain of 1000.
for good quality (with a single stage amplifier) you need a DC gain of 100 x 1000 = 100 000.
And you need low temperature drift.
... To your application: what precision do you need, what resolution do you need, how often do you need a new value?
This give the new parameters for the amplifer.
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TL072 is a standard amplifier with FET input stage.
But it has relatively high voltage noise, low bandwith, and worst of all a lot of offset voltage and temperature drift.
LM324 is also a standard OPAMP, but with bjt input stage. I sould have less noise, but it is not given in the ti datasheet.
Offset voltage, drift and gain are not good for load cells.
It depends on your needs if you are staisfied with the results.
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load cell:
it has 5mV for 5000g, --> 1uV/g (nom. @ 5V excitation)
zero balance: 75g --> 75uV
drift: 0,5g/°C --> 0.5uV/°C
--> OPAMP
if you want the amplifier to meet this specification you need a more precise OPAMP, maybe use a two stage (gain of 30 each).
for extremely low ofsset and drift look for "chopper stabilized" OPAMPs.
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another point is thermocouple effect.
At each joint of different materials (wire, connector solder...) there will be a small DC voltage. It increases with temperature.
This causes an error. If this error is too high for your needed precision consider AC excitation. But it is way more difficult ...
Klaus