# Question #72765

##### 1 Answer

#### Explanation:

The problem wants you to use the given information to find the liquid's specific heat, sometimes called the *specific heat capacity*, of the liquid.

As you know, a substance's **specific heat** tells you how much heat is needed in order to increase the temperature of

So, you know that the liquid has a mass of

#DeltaT = T_"final" - T_"initial"#

#DeltaT = 12.9^@"C" - 10.2^@"C" = 2.7^@"C"#

The equation that establishes a relationship between the heat needed,

#color(blue)(q = m * c * DeltaT)#

Rearrange this equation to solve for

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

Plug in your values to get

#c = "60 J"/("10 g" * 2.7^@"C") = 2.22"J"/("g" ""^@"C")#

You *should* round this off to one significant figure, since that's how many sig figs you have for the amount of heat added and for the mass of the liquid, but I'll leave it rounded to two sig figs, just for good measure

#c = color(green)(2.2"J"/("g" ""^@"C")#

So, what does this result tell you? In order to increase the temperature of