Question #cb744

2 Answers
Sep 17, 2017

Answer:

#"Percentage Error" = 0.2#

Explanation:

Using Percentage Error Formula..

#"Percentage Error" = ("Actual value" color(white)x - color(white)x "Error")/"Actual value"#

#"Actual value" = 0.5#

#"Error" = 0.4#

#"Percentage Error" = (0.5 - 0.4)/0.5#

#"Percentage Error" = 0.1/0.5#

#"Percentage Error" = 0.2#

Sep 17, 2017

Answer:

#%ρ = 0.9%#

Explanation:

I think that the question means the percentage error (or uncertainty) in mass is 0.5 % and the percentage error in volume is 0.4 %

In that case we apply the uncertainty rules for determining the percentage error in density. The equation for density is:
#ρ =m/V#

The second rule for calculating uncertainty applies here, the percentage uncertainty of divided quantities is the sum of the individual percentage uncertainties. That means:
#%ρ = %m +%V = 0.5% + 0.4% = 0.9%#