Question

1. a reference gives the density of calcium as 1.54 g/cm³. based on lab measurements, what is the percentage error of a density calculation of 1.25 g/cm³?

Explanation:

Step1: Recall percentage - error formula

The formula for percentage error is $\text{Percentage Error}=\frac{\vert\text{Experimental Value}-\text{True Value}\vert}{\text{True Value}}\times100\%$.

Step2: Identify experimental and true values

The experimental value (calculated density) is $1.25\ g/cm^{3}$ and the true value (reference density) is $1.54\ g/cm^{3}$.

Step3: Calculate the difference

$\vert1.25 - 1.54\vert=\vert- 0.29\vert = 0.29$.

Step4: Calculate the fraction

$\frac{0.29}{1.54}\approx0.1883$.

Step5: Calculate the percentage

$0.1883\times100\% = 18.83\%$.

Answer:

$18.83\%$