Question

A student measures the mass of a sample as 9.67g. Calculate the percentage error, given that the correct mass is 9.82

Answer 1

Answer:

1.5 %

Explanation:

Given data:

Theoretical value = 9.67 g

Actual value = 9.82 g

Percentage error = ?

Solution:

Formula

percentage error = (Theoretical value - actual value / actual value) ×100

percentage error = 9.67  - 9.82  /9.82  ×100

percentage error = -0.15/ 9.82 ×100

percentage error = -0.015×100

percentage error = 1.5 %

Answer 2

Answer:

1.53%

Explanation:

We are given;

Experimental value as 9.67 g

Actual measurement as 9.82 g

We are required to calculate the percentage error;

• Percentage error is given by dividing the absolute value of the difference between the experiment value and the actual value then dividing by the actual value and multiplying by 100.
• That is;

% error = ((Experimental value -Actual value)÷ Actual value) × 100%

Difference between experimental value and actual value = 9.67 g - 9.82 g

                                                       = -0.15

Therefore, Absolute value = 0.15

Therefore;

% error = (0.15 ÷ 9.82 g) × 100

            = 1.527%

            = 1.53%

Thus, the percentage error is 1.53%