how much heat is needed to convert 500g of water at 100 degrees C to steam at 100 degrees C?
YO nan
3000000000 J
To calculate the heat needed to convert water at 100 degrees Celsius to steam at 100 degrees Celsius, you need to consider two steps: heating the water from 100 degrees Celsius to its boiling point and then converting it to steam at its boiling point.
Step 1: Heating the water from 100 degrees Celsius to its boiling point
The specific heat capacity of water is 4.18 J/g°C, which means it takes 4.18 Joules of energy to heat 1 gram of water by 1 degree Celsius. Given that you have 500 grams of water, you can use this formula:
Q1 = mass * specific heat capacity * temperature change
Q1 = 500g * 4.18 J/g°C * (100°C - 100°C)
Q1 = 0 Joules
Since there is no temperature change in this step, no additional heat is required.
Step 2: Converting the water to steam at its boiling point
The heat needed to convert water at its boiling point to steam at the same temperature is called the heat of vaporization or latent heat. For water, this value is approximately 2260 J/g.
Q2 = mass * heat of vaporization
Q2 = 500g * 2260 J/g
Q2 = 1,130,000 Joules
Therefore, the heat needed to convert 500 grams of water at 100 degrees Celsius to steam at 100 degrees Celsius is approximately 1,130,000 Joules.