# What is the specific heat of an unknown substance if 2000 J of energy are required to raise the temperature of 400 grams of the substance 45 degrees Celsius?

##### 1 Answer

#### Explanation:

A substance's **specific heat** tells you how much heat is needed in order to raise the temperature of

Your tool of choice here will be this equation

#color(blue)(|bar(ul(color(white)(a/a)q = m * c * DeltaTcolor(white)(a/a)|)))" "# , where

*change in temperature*, defined as the difference between the **final temperature** and the **initial temperature**

In your case, the sample is said to have a mass of

You know that in order to increase the temperature of this sample by

#q = m * c * DeltaT implies c = q/(m * DeltaT)#

#c = "2000 J"/("400 g" * 45^@"C") = color(green)(|bar(ul(color(white)(a/a)color(black)("0.1 J g"^(-1)""^@"C"^(-1))color(white)(a/a)|)))#

The answer is rounded to one **sig fig**.