Thermodynamic heat power problem

[pasiman94]

Homework Statement

Carpet steamer marketed for Greenland. Add up to 2 kg of snow or ice (no colder than -10°C) that will be converted to steam within 5 minutes. How powerful would the steamer need to be to make this claim? Know that 2108 J/kg K; Hf= 3.24*10^5 J/kg; Cwater= 4184 J/kg K; Hv = 2.26*10^6 J/kg.

Homework Equations

Q=mCΔT
Q=mHv
Q=mHf

The Attempt at a Solution

attempted to solve the equation by dividing all the givens by two and then adding them all up, however I know that it is not correct and the answer is P = 20156 W

Thanks

 

[gneill]

Homework Statement

Carpet steamer marketed for Greenland. Add up to 2 kg of snow or ice (no colder than -10°C) that will be converted to steam within 5 minutes. How powerful would the steamer need to be to make this claim? Know that 2108 J/kg K; Hf= 3.24*10^5 J/kg; Cwater= 4184 J/kg K; Hv = 2.26*10^6 J/kg.

Homework Equations

Q=mCΔT
Q=mHv
Q=mHf

The Attempt at a Solution

attempted to solve the equation by dividing all the givens by two and then adding them all up, however I know that it is not correct and the answer is P = 20156 W

Thanks

What was the logic behind your approach? Why do you think it failed?