Question #c1168
1 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
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.