Anyone know how to go about the problem? I don't know how to do it.

Assume a professor has a daily special request for her coffee. She likes to have the 250.0 mL of coffee frozen at -15.0°C overnight and then wants it heated to 95°C when she gets there in the morning.

ΔHfusion = 6.02 kJ/mol;
ΔHvaporization = 40.67 kJ/mol;
Csolid = 33.1 J/(molx°C);
Cliquid = 75.4 J/(molx°C);
Cgas = 33.1 J/(mol x °C)
Boiling point = 100°C; and
Melting point = 0°C.

Assume coffee and milk have all the physical properties of water.

a. How much heat energy is required to heat the coffee as per the special request?

b. Identify the name and process of each phase change in the coffee.

a. determine and find the following heats.

heat to bring coffee from -15C to 0
heat to melt coffee at 0C
heat to heat coffee to 95C

add them.
Milk? she didn't ask for any. Real chemistry profs drink black coffee.

To find the answers to these questions, we need to consider the different phase changes and the energy associated with each change. Let's break it down step by step:

a. How much heat energy is required to heat the coffee as per the special request?

To find the heat energy required to heat the coffee, we need to consider the following steps:

1. Calculate the heat energy required to heat the coffee from -15.0°C to 0°C:

ΔT1 = 0°C - (-15.0°C) = 15.0°C

q1 = m × Csolid × ΔT1

Here, m is the mass of the coffee and Csolid is the specific heat capacity of the coffee in the solid state.

2. Calculate the heat energy required for the phase change from solid to liquid:

q2 = n × ΔHfusion

Here, n is the number of moles of coffee and ΔHfusion is the enthalpy of fusion.

3. Calculate the heat energy required to heat the coffee from 0°C to 95°C:

ΔT2 = 95°C - 0°C = 95.0°C

q3 = m × Cliquid × ΔT2

Here, Cliquid is the specific heat capacity of the coffee in the liquid state.

4. Finally, sum up the three heat energy values to get the total heat energy required:

Total heat energy = q1 + q2 + q3

b. Identify the name and process of each phase change in the coffee.

In this case, the name and process of each phase change are as follows:

- Phase change 1: Solid to liquid (Melting)

- Phase change 2: Liquid to gas (Vaporization)

- Phase change 3: Gas to liquid (Condensation)

- Phase change 4: Liquid to solid (Freezing)

It's important to note that the above calculations assume that there is no heat loss to the surroundings and the coffee-milk mixture behaves like water.

Remember to plug in the appropriate values for mass, specific heat capacity, enthalpy, and moles to get the final answer.