Solving for the Amount of Heat in Calories

[whilliam]

Homework Statement

A piece of nichrome wire is embedded into a 1-kg block of ice at -10 degrees celsius. A current of 3.0 amperes and a voltage of 12 volts is maintained in the wire. How long will it take to separate the wire from the ice?

I only want to solve for the amount of heat in calories..
I used the formula:
Q = m₁ c₁ t₁ + m₂ c₂ t₂
The answer is 355,810 cal.
But I can't get it.
please help..

 

[Delphi51]

Welcome to PF, Whilliam.
Curious question - how do you know how much of the ice has to melt to free the wire?

If you are looking for the heat required to melt all the ice, it should be easy. There are two parts: first warm the ice to the melting point and second melt it. It will be something like this:
Q = m*c*ΔT + m*Hf
where ΔT is the change in temperature, c the heat capacity of ice, and Hf is the heat of fusion for ice to water.

Show your work here if you want us to check it for you!