Enthalpy Change Calculation for Ice Heating Process

What is the enthalpy change of 10 kg of ice initially at -20°C when heated to 200°C at atmospheric pressure?

Choose the closest value from the options below:

(A) 9900 kJ

(B) 9100 kJ

(C) 8300 kJ

(D) 6400 kJ

Enthalpy Change Calculation for Ice Heating Process

The enthalpy change of 10 kg of ice initially at -20°C when heated to 200°C at atmospheric pressure is nearest to (D) 6400 kJ. Let's break down the calculation step by step to find the closest value:

To calculate the enthalpy change, we need to consider the phase changes and temperature changes. Here's the step-by-step explanation:

1. First, calculate the energy required to raise the temperature of ice from -20°C to 0°C using the specific heat capacity of ice, which is 2.09 kJ/kg°C.

2. Next, calculate the energy required to melt the ice at 0°C into water at 0°C with the specific latent heat of fusion for ice, which is 334 kJ/kg.

3. Then, calculate the energy required to raise the temperature of the water from 0°C to 100°C using the specific heat capacity of water, 4.18 kJ/kg°C.

4. Lastly, calculate the energy required to raise the temperature of the water vapor from 100°C to 200°C using the specific heat capacity of water vapor, 2.03 kJ/kg°C.

After adding up all these energy values, the total enthalpy change is 9988 kJ. Therefore, the enthalpy change of 10 kg of ice initially at -20°C when heated to 200°C at atmospheric pressure is nearest to 9900 kJ, which corresponds to option (D).