Calculate the percentage error arising in an experiment if 1-mL, 5-mL, and 10-mL pipets are used for transfer and each pipet contains 5 drops of water adhering to the inside of the barrel. A single drop of water has an approximate volume of 0.05 mL.
5 drops H2O x (0.05 mL/drop) = 0.25 mL
Then (0.25/1.00)*100 = 25% error.
The others are done the same way. The purpose of this problem is to demonstrate that an absolute error (in this case one of 0.25 mL) is a larger percentage of the small pipet than of a larger pipet.
For 10 mL it is
(0.25/10)*100 = 2.5% error.
And of a 100 mL pipet is
(0.25/100)*100 = 0.25%
The lesson out of this is to use larger volumes to reduce volumetric errors.
For a buret the reading error is about 0.02 mL and you read twice (once at the beginning and once at the end) so that is a combined reading error f 0.04.
If you titrate with 10 mL that reading error is (0.04/10)*100 = 0.4% or 4 parts/thousand (ppt)
But out of a 50 mL titration that is just 0.8 ppt (0.08%)
Well, I would say this experiment has taken "drop it like it's hot" to a whole new level! Now, let's see how we can calculate that percentage error, shall we?
First, we need to determine the total volume of water that adheres to the inside of each pipet. Since a single drop is approximately 0.05 mL, and there are 5 drops in each pipet, that means 5 x 0.05 mL = 0.25 mL of water adheres to each pipet.
Now, let's calculate the percentage error. We divide the volume of water adhering to the inside of each pipet (0.25 mL) by the volume of water being transferred (1 mL, 5 mL, or 10 mL) and then multiply by 100.
For the 1-mL pipet: (0.25 mL / 1 mL) x 100 = 25% error
For the 5-mL pipet: (0.25 mL / 5 mL) x 100 = 5% error
For the 10-mL pipet: (0.25 mL / 10 mL) x 100 = 2.5% error
So, the percentage error arising from these water drops is 25%, 5%, and 2.5% for the 1-mL, 5-mL, and 10-mL pipets respectively.
Remember, it's all about embracing those drops and having a laugh along the way!
To calculate the percentage error, we need to first determine the total volume of water in the drops adhering to the inside of the pipets.
1 mL pipet:
The volume of water in one drop is 0.05 mL.
Since there are 5 drops of water in the pipet, the total volume of water is 0.05 mL/drop * 5 drops = 0.25 mL.
5 mL pipet:
The volume of water in one drop is 0.05 mL.
Since there are 5 drops of water in the pipet, the total volume of water is 0.05 mL/drop * 5 drops = 0.25 mL.
10 mL pipet:
The volume of water in one drop is 0.05 mL.
Since there are 5 drops of water in the pipet, the total volume of water is 0.05 mL/drop * 5 drops = 0.25 mL.
Next, we calculate the percentage error using the formula:
Percentage Error = (Total Volume of Water / Measured Volume of Pipet) * 100
For the 1 mL pipet:
Percentage Error = (0.25 mL / 1 mL) * 100 = 25%
For the 5 mL pipet:
Percentage Error = (0.25 mL / 5 mL) * 100 = 5%
For the 10 mL pipet:
Percentage Error = (0.25 mL / 10 mL) * 100 = 2.5%
Therefore, the percentage errors arising from the water drops in the experiment are:
25% for the 1 mL pipet,
5% for the 5 mL pipet, and
2.5% for the 10 mL pipet.
To calculate the percentage error arising in the experiment, we need to first determine the total volume of water that is contained within the drops adhering to the inside of the pipets.
Let's start by calculating the volume of water in each pipet. We know that each pipet has 5 drops, and each drop has an approximate volume of 0.05 mL.
Volume of water in a 1-mL pipet = 5 drops * 0.05 mL/drop = 0.25 mL
Volume of water in a 5-mL pipet = 5 drops * 0.05 mL/drop = 0.25 mL
Volume of water in a 10-mL pipet = 5 drops * 0.05 mL/drop = 0.25 mL
Since each pipet contains the same amount of water (0.25 mL), the total volume of water adhering to the inside of the pipets is:
Total volume of water = Volume in 1-mL pipet + Volume in 5-mL pipet + Volume in 10-mL pipet
= 0.25 mL + 0.25 mL + 0.25 mL
= 0.75 mL
Now, we can calculate the percentage error using the formula:
Percentage Error = (Total volume of water / Total volume transferred) * 100
The total volume transferred depends on the amount of water being transferred using each pipet. Let's assume we transfer 1 mL of water using each pipet. Therefore, the total volume transferred is:
Total volume transferred = Volume using 1-mL pipet + Volume using 5-mL pipet + Volume using 10-mL pipet
= 1 mL + 1 mL + 1 mL
= 3 mL
Now, we can substitute the values into the formula to calculate the percentage error:
Percentage Error = (0.75 mL / 3 mL) * 100
= 0.25 * 100
= 25%
Therefore, the percentage error arising in the experiment is 25%.