# Question #509d0

##### 2 Answers

The heat required,

#### Explanation:

**Use the following equation:**

where

**Given**

**Unknown:**

**Solution**

Substitute the given values into the equation and solve.

(rounded to three significant figures)

#### Explanation:

Here's an alternative approach that you can use to double-check your calculations.

As you know, a substance's **specific heat** tells you the amount of heat needed to increase the temperature of

In your case, you know that silicon carbide has a specific heat of

#c_"SiC" = "0.75 J g"^(-1)""^@"C"^(-1)#

This tells you that in order to increase the temperature of

Now, you can use the specific heat as a **conversion factor** to help you determine the amount if heat needed to increase the temperature of

#66.7 color(red)(cancel(color(black)("g"))) * "0.75 J"/(1color(red)(cancel(color(black)("g"))) * 1^@"C") = "50.025 J"""^@"C"^(-1)#

Now that you know how much heat will increase the temperature of

#92.5^@"C" - 0.0^@"C" = 92.5^@"C"#

You should end up with

#92.5 color(red)(cancel(color(black)(""^@"C"))) * overbrace("50.025 J"/(1color(red)(cancel(color(black)(""^@"C")))))^(color(blue)("for 66.7 g SiC")) = color(darkgreen)(ul(color(black)("4630 J")))#

The answer is rounded to three **sig figs**.