Let's write the formula for the amount of heat required to change the state of water at
to a gas:
here,
is the amount of heat required to change the state of water at
to a gas,
is the mass of the water and
is the specific latent heat of vaporization of water.
From the other hand, we can write the formula for the amount of heat that a coil provides at the rate of
during time
:
here,
is the time taken to evaporate all the water.
Then, we can equate both expressions and find the time taken to evaporate all the water:
Answer:
.
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