Calculate Theoretical Value for Equipment Accuracy

[yjk91]

how do you get the theroetical value?
it's a accuracy and precision lab
we basically put designated amount of water into beakers and cylinders, graduated, and measure the mass. And we are suppose to find the theoretical accuracy of each piece of quipment and the actual % accuracy for each sample

Equipment mass of equip amount H20 added mass equip + actual water
10mL graduated Cylinder 5.14g 10mL 15.19g
50mL graduated Cylinder 64.97g 10mL 74.94g
100mL graduated Cylinder 93.65g 10mL 102.46g
50mL Beaker 28.32g 20mL 48.41g
100mL Beaker 50.32g 20mL 65.63g
150mL Beaker 62.33g 20mL 75.13g
250mL Beaker 108.76g 20mL 124.25g
400mL Beaker L 163.76g 20mL 183.80g


if you can just show me how than i will do the rest

 

[Ygggdrasil]

You can calculate the expected mass of water from the volume if you know the density of water (you should be able to look this up. Note that the value depends on the temperature of the water).

 

[Blueshift5]

To calculate the theoretical value for equipment accuracy, you will need to first determine the precision of the equipment. This can be done by taking multiple measurements with the same equipment and calculating the standard deviation. The smaller the standard deviation, the more precise the equipment is.

Once you have determined the precision of the equipment, you can then calculate the theoretical value for accuracy by using the following formula:

Theoretical Accuracy = (Precision/Measured Value) x 100%

For example, for the 10mL graduated cylinder, the precision is 0.01mL (based on the measurements provided in the table). The measured value for the amount of water added is 10mL. Therefore, the theoretical accuracy would be:

Theoretical Accuracy = (0.01mL/10mL) x 100% = 0.1%

You can repeat this calculation for each piece of equipment and each sample to find the theoretical accuracy for each. Then, to find the actual % accuracy for each sample, you will need to compare the measured value to the theoretical value and calculate the difference.

Actual % Accuracy = (Measured Value - Theoretical Value)/Theoretical Value x 100%

For example, for the first sample using the 10mL graduated cylinder, the measured value for the mass of the equipment + actual water is 15.19g and the theoretical value is 15.19g. Therefore, the actual % accuracy would be:

Actual % Accuracy = (15.19g - 15.19g)/15.19g x 100% = 0%

You can repeat this calculation for each sample to find the actual % accuracy for each. This will allow you to determine how accurate each piece of equipment is in measuring the designated amounts of water.

I hope this helps and good luck with your lab!