In order to calculate the heat needed to melt something you must first raise it to its melting point. Then you must continue to add heat to overcome the latent heat of fusion.
Let's setup the formula:
E for the total amount of heat we need to apply.
We will need to go from 20 degrees to 327 degrees a 307 degree increase. Multiply that by the specific heat capacity and mass for our first term: 307(.125)(128).
Our second term is overcoming the latent heat of fusion. That is just mass times latent heat of fusion: 2.32*10^2(.125).
Answers & Comments
Relax dude.
In order to calculate the heat needed to melt something you must first raise it to its melting point. Then you must continue to add heat to overcome the latent heat of fusion.
Let's setup the formula:
E for the total amount of heat we need to apply.
We will need to go from 20 degrees to 327 degrees a 307 degree increase. Multiply that by the specific heat capacity and mass for our first term: 307(.125)(128).
Our second term is overcoming the latent heat of fusion. That is just mass times latent heat of fusion: 2.32*10^2(.125).
This gives our formula of:
E = 307(.125)(128) + 2.32*10^2(.125)
Clear?
You need to raise the temperature of the solid by 307C, which requires
(0.125 kg)(1.28 J/kgC)(307 C) = around 50 J but use a calculator.
Then you must add
(0.125 kg)(2.32 x 10^4 J/kg) = around 3000 J but use a calculator.
Add the two quantities just calculated.