How do you calculate the specific heat capacity of ice?

1 Answer
May 21, 2018

2.108 #J/(g*K)# which is found through mathematical calculations and experimental data.


It is hard to gauge your question due to the fact that you have not given us any information but to calculate the specific heat capacity of ice. This is a given number which has been found through experimental testing.

The specific heat capacity is a number that tells us how much energy (J or kJ) is required to raise 1 g (or kg) by 1 degree K. We can use the following equation:


In this equation m equals the mass of our sample, c is the specific heat of our sample and delta T is our change in temperature.
For the purposes of this I am going to make up some numbers to show you how to calculate specific heat.

Lets say you add 1054 J of energy to a sample of 100 grams of ice and its temperature raises from 243.15 K to 253.15 K. Using the equation shown above we can calculate the specific heat of ice.

#1054 J=100g*c*(253.15K-243.15K#)

Now we rearrange our equation to solve for c by dividing both side by 100g and 10K (because 253.15-243.15 = 10). Giving us the following equation:

#(1054 J)/(50g*10K)# = 2.108 #J/(g*K)#