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

1.5 %

Explanation:

Given dа ta:

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 %

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%