Question

During a lab you measure the mass of an object to be 240 g. The actual value is 250 g. What is you % error?

Answer 1

To calculate the percentage error, you find the absolute difference between the measured value and the actual value, divide by the actual value, then multiply by 100. In this case, the mass has a percentage error of 4% when measured as 240 g compared to the actual 250 g.

Step-by-step explanation:

The percentage error in a measurement is calculated by taking the absolute value of the difference between the measured value and the actual value, dividing by the actual value, and then multiplying by 100 to get a percent.

Calculation of Percentage Error

Here is the step-by-step process to calculate the percentage error:

1. Find the absolute difference between the measured value and the actual value: |Measured Value - Actual Value|.
2. Divide this difference by the actual value: |240 g - 250 g| / 250 g.
3. Multiply the result by 100 to get a percentage: (|240 g - 250 g| / 250 g) × 100.

In this case, following the steps above, we get:

|240 g - 250 g| = 10 g (absolute difference)

Next, we divide by the actual value:

10 g / 250 g = 0.04

Finally, we multiply by 100 to find the percentage error:

0.04 × 100 = 4%

Therefore, the percentage error in measuring the mass of the object is 4%.

Answer 2

Percentage error, P % = 4.16 %

Step-by-step explanation:

Given that,

Actual value of the mass of an object, m = 250 g

Observed value of the mass, m' = 240 g

We need to find the percentage error in the mass of the object. It is given by :

`P\%=|(m'-m)/(m)|* 100`

`P\%=|(240-250)/(250)|* 100`

`P\%=4\%`

So, the percentage error in the calculated value is 4%. Hence, this is the required solution.