Percent error is calculated using the following formula:
Rightarrow % "error" = |frac("experimental value" - "theoretical value")("theoretical value")| cdot 100⇒%error=∣∣∣experimental value−theoretical valuetheoretical value∣∣∣⋅100
This formula can be refined as:
Rightarrow % "error" = |frac("experimental value")("theoretical value") - frac("theoretical value")("theoretical value")| cdot 100⇒%error=∣∣∣experimental valuetheoretical value−theoretical valuetheoretical value∣∣∣⋅100
Rightarrow % "error" = |frac("experimental value")("theoretical value") - 1| cdot 100⇒%error=∣∣∣experimental valuetheoretical value−1∣∣∣⋅100
Now, let's substitute the relevant values into the formula:
Rightarrow % "error" = |frac(6.6" g/cm"^(3))(7.57" g/cm"^(3)) - 1| cdot 100⇒%error=∣∣
∣∣6.6 g/cm37.57 g/cm3−1∣∣
∣∣⋅100
Rightarrow % "error" = |0.8718626156 - 1| cdot 100⇒%error=|0.8718626156−1|⋅100
Rightarrow % "error" = |- 0.1281373844| cdot 100⇒%error=|−0.1281373844|⋅100
Rightarrow % "error" = 0.1281373844 cdot 100⇒%error=0.1281373844⋅100
Rightarrow % "error" = 12.81373844%⇒%error=12.81373844%
therefore % "error" approx 12.8%
Therefore, the percent error is around 12.8%.
