# Boil to dry 50 liters water

I would like to find out how long it would take to completely turn 50 litres of water to steam. Let's assume power of 2500 W and the water is already at boil. I am not very scientific so please forgive any omissions. Thanks

The enthalpy of vaporization of water is 40.65 $\mathrm{kJ/mol}$, which means 40.65 kJ of heat needs to be added to turn one mole of liquid water to steam. 50 L of water is 2775 moles: $$\mathrm{\frac{(50\ L)\left(1000\frac{g}{L}\right)}{\left(18.02\frac{g}{mol}\right)}=2775\ mol}$$
So the total heat we need is: $$\mathrm{(2775\ mol)\left(40.65\frac{kJ}{mol}\right)=112.8\ MJ}$$
1 watt is one joule per second, so for a 2500 W heat source: $$\mathrm{\frac{112.8\ MJ}{2500\ J/s}=45\ ks}$$ Or, approximately 12.5 hours. In real life, it may be significantly longer for various reasons, but this is the fastest it could go.