Calibration of a 50 ml buret
(10 ml,15 ml,20ml,
25 ml,30ml,35ml,40ml,45ml,50ml)(repeated the procedure 3 times)
for experimental ; i have observed vol(ml) , temp.C ,for true i have mass(g), true vol. ml and for calibration i found error ml /correction ml(for each one)
i have the mean observed volume for each group of 3 and as well as mean corrected volume for each group of 3 )
also i found average temp and water density at this temp.
so my question is below
show a calculation for the total uncertainty in a volume read from your buret . This will require you to use propagation of error.
and identify one possible source of error in this calibration (not "human error")
To calculate the total uncertainty in a volume read from your buret, you can use the method of propagation of error. This method involves considering the contributions of individual uncertainties in a measurement and combining them to determine the total uncertainty.
Here's how you can calculate the total uncertainty:
1. Calculate the individual uncertainties in each measurement:
- For the observed volume, you have repeated the procedure 3 times, so calculate the standard deviation of the mean observed volume for each group of 3 measurements. This will give you the uncertainty in the observed volume.
- For the correction volume, calculate the standard deviation of the mean corrected volume for each group of 3 measurements. This will give you the uncertainty in the correction volume.
2. Calculate the combined uncertainty:
- Add the individual uncertainties in quadrature (square root of the sum of squares). This gives you the combined uncertainty for each measurement.
3. Calculate the total uncertainty:
- Since you have multiple measurements, calculate the standard deviation of the combined uncertainties. This will give you the total uncertainty in the volume read from your buret.
It's important to note that when calculating uncertainties, it's necessary to consider all relevant sources of error. While you mentioned not considering "human error" as a source, there may be other sources that contribute to the uncertainty, such as instrumental error or systematic errors.
Identifying one possible source of error in this calibration (not "human error") can be challenging without specific details about the experimental setup. However, one possible source of error could be temperature variation. If the temperature of the solution in the buret and the ambient temperature were not well-controlled or fluctuated during the calibration, it could introduce variations in the volume measurements and contribute to the uncertainty.