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A 1.08 kW heater is used to convert 100 g of water at 100 °C into steam. How long will it take?
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5 stepsIdentify the given values and the required physical constant.
The power of the heater is .
The mass of steam to be produced is .
The water is already at , so we only need to consider the latent heat of vaporization.
The latent heat of vaporization of water () is approximately .Convert the given values to SI units.
Calculate the total heat energy required to convert of water at into steam.
The heat energy required for vaporization is given by the formula .
Calculate the time taken for the heater to supply this amount of energy.
The power of the heater is the rate at which it supplies energy, so , where is the time.
Rearranging for :Compare the calculated time with the given options.
The calculated time is approximately , which is closest to .
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