how much energy is required to convert 10g of ice at -15c into steam at 125c
To calculate the amount of energy required to convert 10g of ice at -15°C into steam at 125°C, we need to consider two main processes: heating the ice to its melting point, and then converting the liquid water to steam.
First, let's calculate the energy required to raise the temperature of the ice from -15°C to 0°C. We can use the specific heat capacity of ice to do this. The specific heat capacity of ice is approximately 2.09 J/g°C.
Energy = mass × specific heat capacity × temperature change
= 10g × 2.09 J/g°C × (0°C - (-15°C))
= 10g × 2.09 J/g°C × 15°C
= 313.5 J
Therefore, it would require 313.5 Joules (J) of energy to raise the temperature of the ice to 0°C.
Next, let's calculate the energy required to convert the ice at 0°C to liquid water at 100°C. To do this, we use the latent heat of fusion, which represents the energy needed to convert a substance from a solid to a liquid phase without changing its temperature. For water, the latent heat of fusion is approximately 334 J/g.
Energy = mass × latent heat of fusion
= 10g × 334 J/g
= 3340 J
Therefore, it would require 3340 Joules (J) of energy to convert the ice at 0°C to liquid water at 100°C.
Finally, let's calculate the energy required to raise the temperature of the liquid water from 100°C to 125°C. We can use the specific heat capacity of water to do this. The specific heat capacity of water is approximately 4.18 J/g°C.
Energy = mass × specific heat capacity × temperature change
= 10g × 4.18 J/g°C × (125°C - 100°C)
= 10g × 4.18 J/g°C × 25°C
= 1045 J
Therefore, it would require 1045 Joules (J) of energy to raise the temperature of the liquid water from 100°C to 125°C.
Now, let's add up the energies required for each step:
Total energy = Energy to raise the temperature of ice + Energy to convert ice to liquid water + Energy to raise the temperature of liquid water
= 313.5 J + 3340 J + 1045 J
= 4698.5 J
Therefore, it would require 4698.5 Joules (J) of energy to convert 10g of ice at -15°C into steam at 125°C.