How much heat is required to raise the temperature of a 50.0 g block of iron by 10.0^@"C"10.0∘C ? Specific heat of iron: "0.449 J/g"""^@"C"0.449 J/g∘C
1 Answer
Explanation:
The key to this problem is the specific heat of iron, which is said to be equal to
c_"iron" = "0.449 J g"^(-1)""^@"C"^(-1)ciron=0.449 J g−1∘C−1
As you know, the specific heat of a substance tells you how much heat is needed to raise the temperature of a sample of
Keep in mind that this represents the amount of heat needed per gram, per degree Celsius!
So, how much heat would be needed to increase the temperature of a
50.0 color(red)(cancel(color(black)("g"))) * overbrace("0.449 J" /(1color(red)(cancel(color(black)("g"))) ""^@"C"))^(color(blue)("the specific heat of iron")) = "22.45 J" ""^@"C"^(-1)
This means that in order to increase the temperature of
You can thus say that in order to increase the temperature of the block by
10.0 color(red)(cancel(color(black)(""^@"C"))) * overbrace("22.45 J"/(1color(red)(cancel(color(black)(""^@"C")))))^(color(blue)("for 50.0 g of iron")) = color(green)(bar(ul(|color(white)(a/a)color(black)("225 J")color(white)(a/a)|)))
The answer is rounded to three sig figs.
