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A kettle containing 4 kg of water has just reached its boiling point. How much energy, in joules, is required to boil the kettle dry?
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A kettle containing 4 kg of water has just reached its boiling point. How much energy, in joules, is required to boil the kettle dry?
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Feb 5, 2024
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A kettle containing 4 kg of water has just reached its boiling point. How much energy, in joules, is required to boil the kettle dry?
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Answer:
To calculate the energy required to boil a kettle of water dry, you can use the formula for the heat energy required to change the temperature of a substance:
Q = m * c * ΔT
Where: Q = heat energy (in joules) m = mass of the substance (in kilograms) c = specific heat capacity of the substance (for water, it's approximately 4.18 J/g°C or 4186 J/kg°C) ΔT = change in temperature (in degrees Celsius)
In this case, you want to boil the water, which means you need to raise its temperature from its boiling point to its boiling point, so ΔT = 100°C (because water boils at 100°C at standard atmospheric pressure).
Now, plug in the values:
m = 4 kg (mass of water) c = 4186 J/kg°C (specific heat capacity of water) ΔT = 100°C
Q = 4 kg * 4186 J/kg°C * 100°C = 1,674,400 J
So, it would require approximately 1,674,400 joules of energy to boil 4 kg of water dry in the kettle.
Sean McCarthy
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Feb 10, 2024
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Sean McCarthy
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