1695 kJ of energy is transferred to water at 100 °CThe specific latent heat of vaporisation of water is 2.260 × 10 6 J / kgCalculate the mass of water changed into a gas at 100 °CEnergy transferred = mass x specific latent heat
Question
1695 kJ of energy is transferred to water at 100 °CThe specific latent heat of vaporisation of water is 2.260 × 10 6 J / kgCalculate the mass of water changed into a gas at 100 °CEnergy transferred = mass x specific latent heat
Solution
To calculate the mass of water changed into a gas at 100 °C, we need to rearrange the formula:
Energy transferred = mass x specific latent heat
to solve for mass:
mass = Energy transferred / specific latent heat
First, we need to convert the energy transferred from kJ to J, because the specific latent heat is given in J/kg.
1 kJ = 1000 J
So, 1695 kJ = 1695 * 1000 J = 1695000 J
Then, we substitute the values into the formula:
mass = 1695000 J / 2.260 × 10^6 J/kg = 0.75 kg
So, 0.75 kg of water is changed into a gas at 100 °C.
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