# Question #897e7

##### 1 Answer

#### Explanation:

You can't answer this question without knowing the specific heat of iron

#c_"iron" = "0.45 J g"^(-1)""^@"C"^(-1)#

http://www.engineeringtoolbox.com/specific-heat-metals-d_152.html

Now, the **specific heat** of a substance tells you the amount of heat needed to increase the temperature of

In your case, the specific heat of iron tells you that in order to increase the temperature of

Use this value to determine the amount of heat needed to increase the temperature of

#445 color(red)(cancel(color(black)("g"))) * "0.45 J"/(1color(red)(cancel(color(black)("g"))) * 1^@"C") = "200.25 J"^@"C"^(-1)#

So, you now know that if you add

This implies that

#"65,100" color(red)(cancel(color(black)("J"))) * overbrace( (1^@"C")/(200.25color(red)(cancel(color(black)("J")))))^(color(blue)("for 445 g of iron")) = 325^@"C"#

Therefore, the **final temperature** of the piece of iron will be

#color(darkgreen)(ul(color(black)("final temperature" = 35.0^@"C" + 325^@"C" = 360.^@"C")))#

The answer is rounded to three **sig figs**, no decimal places.