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How much energy is required to boil 55.1 grams of water? heat of vaporization of water is \( 2260 \mathrm{~J} / \mathrm{g} \)

Ask by Reed Reeves. in the United States
Jan 22,2025

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To boil 55.1 grams of water, you need approximately 124.5 kilojoules of energy.

Solution

To determine the energy required to boil 55.1 grams of water, you can use the formula: \[ \text{Energy} = \text{mass} \times \text{heat of vaporization} \] **Given:** - Mass of water (\( m \)) = 55.1 grams - Heat of vaporization of water (\( \Delta H_{\text{vap}} \)) = 2260 J/g **Calculation:** \[ \text{Energy} = 55.1 \, \text{g} \times 2260 \, \frac{\text{J}}{\text{g}} \] \[ \text{Energy} = 124,526 \, \text{J} \] **Converting Joules to Kilojoules:** \[ 124,526 \, \text{J} \div 1000 = 124.526 \, \text{kJ} \] **Rounded Off:** \[ \text{Energy} \approx 124.5 \, \text{kJ} \] **Conclusion:** Approximately **124.5 kilojoules** of energy are required to boil 55.1 grams of water.

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To find the total energy required to boil 55.1 grams of water, you can simply multiply the mass of the water by the heat of vaporization: \[ Energy = mass \times heat~of~vaporization = 55.1~g \times 2260~\frac{J}{g} = 124,546~J \] So, it would take approximately 124,546 Joules of energy to boil 55.1 grams of water. That's enough energy to power a small appliance for a short period! In terms of practical cooking, boiling water may seem straightforward, but remember that this energy is just the beginning! If you're making pasta or simmering soup, you'll need to keep the burner going, as some of that heat dissipates into the air or is absorbed by your pot. So think of it as keeping a cozy warm bubble pot after boiling – the fun of cooking is all in the details!

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