# The experimental calculation of the specific heat of aluminum was found to be 156 cal/g °C, but the actual value was given as 185 cal/g°C. What is the percent error?

Jan 27, 2018

=16%

#### Explanation:

This problem can be solve using the formula shown below.

%"error"="absolute error"/"actual value"xx100

$w h e r e :$

$\text{absolute error"="actual value"-"experimental value}$
$\text{absolute error} = \frac{185 c a l}{g {\cdot}^{o} C} - \frac{156 c a l}{g {\cdot}^{o} C}$
$\text{absolute error} = \frac{29 c a l}{g {\cdot}^{o} C}$

Knowing the absolute error, % error can be calculated using the formula described above. Plug in the given and the calculated values as shown below.

%"error"="absolute error"/"actual percentage"xx100
%"error"=(29cancel((cal)/(g*^oC)))/(185cancel((cal)/(g*^oC)))xx100
%"error"=0.16xx100
%"error"=16%