How Long After Melting Does Ice Reach Above 0 Celsius When Heated?

[Luis2101]

An open container holds 0.550 kg of ice at -15 Celsius. The mass of the container can be ignored. Heat is supplied to the container at the constant rate of 800 J/min for 500 min.

A) After how many minutes does the ice start to melt.
This part I calculated and got correct, it's 21.7 min.,

B) After how many minutes, from the time when the heating is first started, does the temperature begin to rise above 0 Celsius?
--
This is where I'm stuck. What I did was say that Qtotal would be equal to Q1 (the heat necessary in part A) + Heat of Fusion of water * the mass of the ice.
so: Qt = Q1 + Lm
L is 335,000 J/kg
m is 0.550 kg
Q1 from part A is 17325 J.

So, Qt = 35750 J

Time is Qt/rate of transfer = 35750 / 800 = 44.7 min, but that's incorrect...

What am I messing up?

-Luis

 

[Hootenanny]

So, Qt = 35750 J

You may wish to check this value.

 

[Luis2101]

Yeah, I used the wrong value for the heat capacity of ice. (Used 33400 instead of 334000).