# Question #c1168

##### 1 Answer

#### Answer:

#### Explanation:

The key to this problem is the specific heat of the metal.

You know that copper has a specific heat of

#c_"copper" = "0.3850 J g"^(-1)""^@"C"^(-1)#

This tells you that in order to increase the temperature of

Now, how much energy would be needed in order to increase the temperature of *conversion factor* to get

#715.0 color(red)(cancel(color(black)("g"))) * overbrace("0.3850 J"/(1color(red)(cancel(color(black)("g"))) * 1^@"C"))^(color(blue)("the specific heat of copper")) = "275.275 J"^@"C"^(-1)#

Since you know that you need

#22.46^@"C" - 13.51^@"C" = 8.95^@"C"#

you will need to provide

#8.95 color(red)(cancel(color(black)(""^@"C"))) * "275.275 J"/(1color(red)(cancel(color(black)(""^@"C")))) = color(darkgreen)(ul(color(black)("2464 J")))#

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