<u>Answer:</u> The heat required for the given process is 2659.3 kJ
<u>Explanation:</u>
The processes involved in the given problem are:
Pressure is taken as constant.
To calculate the amount of heat absorbed at different temperature, we use the equation:
.......(1)
where,
q = amount of heat absorbed = ?
= specific heat capacity of medium
m = mass of water/ice
= final temperature
= initial temperature
To calculate the amount of heat released at same temperature, we use the equation:
......(2)
where,
q = amount of heat absorbed = ?
m = mass of water/ice
= latent heat of fusion or vaporization
Calculating the heat absorbed for each process:
We are given:
Putting values in equation 1, we get:
Converting the latent heat of fusion in J/g, we use the conversion factor:
Molar mass of water = 18 g/mol
1 kJ = 1000 J
So,
We are given:
Putting values in equation 2, we get:
We are given:
Putting values in equation 1, we get:
Converting the latent heat of vaporization in J/g, we use the conversion factor:
Molar mass of water = 18 g/mol
1 kJ = 1000 J
So,
We are given:
Putting values in equation 2, we get:
We are given:
Putting values in equation 1, we get:
Total heat absorbed =
Total heat absorbed =
Hence, the heat required for the given process is 2659.3 kJ