how long 1.2kw electric kettle take to heat 0.8kg of water from 20c to 100c?

I believe it will take 50kw

To calculate the time it takes for an electric kettle to heat water from one temperature to another, we can use the formula:

t = (m * c * ΔT) / P

Where:
t = time in seconds
m = mass of water in kilograms (0.8kg in this case)
c = specific heat capacity of water (approximately 4.184 J/g°C or 4184 J/kg°C)
ΔT = change in temperature (100°C - 20°C = 80°C)
P = power of the kettle in watts (1.2kW = 1200W)

First, we need to convert the mass of water from kilograms to grams (1kg = 1000g):
m = 0.8kg * 1000g/kg = 800g

Now, we can plug the values into the formula:
t = (800g * 4184 J/kg°C * 80°C) / 1200W

Calculating, we have:
t = (267,520,000 J) / 1200W

Dividing the energy by the power, we get the time in seconds:
t ≈ 222,933 seconds

Therefore, it would take approximately 222,933 seconds to heat 0.8kg of water from 20°C to 100°C using a 1.2kW electric kettle.