Final answer:
The student's experimental value for the density of gold is 21.002 g/ml.
Step-by-step explanation:
The student's percent error can be calculated using the formula:
Percent Error = (Experimental Value - Accepted Value) / Accepted Value * 100%
Given that the percent error is 14% and the accepted value is 19.3 g/ml, we can rearrange the formula to solve for the experimental value:
Experimental Value = Accepted Value + Percent Error * Accepted Value / 100%
Substituting the values into the formula:
Experimental Value = 19.3 g/ml + 14% * 19.3 g/ml / 100%
Simplifying the equation:
Experimental Value = 19.3 g/ml + 2.702 g/ml
Experimental Value = 21.002 g/ml