How many calories are required at 0 degrees C to melt an ice cube with a mass of 25g?
I got 2000 cal. Could you tell me if this is right?
I want to know the steps to the answer.
I have the same question; however, I don't seem to understand how to get the answer. Can you please explain in detail how to work the question below?
Question: How many calories are required at 0 degrees Celsius to melt an ice cube with a mass of 25g?
To determine the amount of calories required to melt an ice cube at 0 degrees Celsius, we need to use the specific heat capacity of ice and the heat of fusion.
The specific heat capacity of ice is typically given as 2.09 joules per gram per degree Celsius (J/g°C), and the heat of fusion of ice is 334 joules per gram (J/g).
First, let's convert the mass of the ice cube to grams since the specific heat capacity and heat of fusion are given in grams.
Mass of ice cube = 25g
Next, we calculate the amount of heat required to raise the temperature of the ice from 0°C to its melting point (0°C).
Heat required = (mass) x (specific heat capacity) x (temperature change)
Heat required = 25g x 2.09 J/g°C x 0°C = 0 J
Since there is no temperature change, no additional heat is required to raise the temperature of the ice cube at 0°C.
Finally, we calculate the amount of heat required to melt the ice cube at 0°C using the heat of fusion.
Heat required = (mass) x (heat of fusion)
Heat required = 25g x 334 J/g = 8350 J
To convert joules to calories, we can divide the value by 4.184.
8350 J ÷ 4.184 = 1995.19 cal
Therefore, the correct answer is approximately 1995.19 calories (cal), not 2000 cal.
Note: The specific heat capacity and heat of fusion values used in this explanation are approximate and may vary slightly depending on the source.