Ariel found the density of an unknown solid to be 24.3 g/cm3. Her teacher told her that something must have gone wrong with her measurements because her percent error was 30.0% too high. What was the actual or accepted density of her unknown solid?
Just plug the numbers into the formula for percent error.
(24.3-x/x) = 0.30
Solve for x
18.7
To find the actual or accepted density of the unknown solid, we can use the concept of percent error.
Percent error is calculated using the formula:
Percent Error = (|Observed Value - Actual Value| / Actual Value) x 100
In this case, the percent error is given as 30.0% too high. This means that the observed value of the density is 30.0% higher than the actual value.
Let's assume the actual or accepted density of the unknown solid is 'x'. According to the information given, the observed value of the density is 24.3 g/cm3, which is 30.0% higher than the actual value:
24.3 g/cm3 = x + 0.3x
24.3 g/cm3 = 1.3x
To find 'x', we need to divide both sides of the equation by 1.3:
x = 24.3 g/cm3 / 1.3
x ≈ 18.69 g/cm3
Therefore, the actual or accepted density of the unknown solid is approximately 18.69 g/cm3.