Heat required to warm ice from -25°C to water at 25°C

[new324]

Allright, I may sound stupid on this one.
How much heat (Q) is required to change 456 g of ice at -25(degrees celsius) into water at 25(degrees C). The Specific heat of ice is 2090 J/kg K, the specific heat of water is 4186 J/kg K. The latent heat of fusion of water is 33.5*10^4 J/kg.

Is this just going to be Qwater+Qice+Qlatent? Where Qlatent is m*L?

 

[cookiemonster]

$$Q = cm\Delta T$$

and

$$Q = mH_f$$

I think you have the right idea, but your notation is a little awkward.

cookiemonster

 

[new324]

Thanks cookiemonster. I appreciate the help.