# How much energy is required to raise the temperature of a #"36.00 g"# sample of ice from a temperature of #-30.00^@"C"# to a temperature of #"85.00"^@"C"#? The heat of fusion, #H_"f"#, of water is #"334 J/g"#.

##### 1 Answer

The total energy required is

#### Explanation:

The basic equation used to determine the amount of energy needed to change the temperature of a given mass of a substance is:

where:

There are four steps required to answer this question. First, the energy required to raise the temperature of the ice from

**1. Energy required to change the temperature from #-30.00^@"C"# to #0^@"K"#. In this equation we will use the specific heat of solid water (ice)**.

**Known**

**Solution**

Plug the known values into the equation and solve for

**2. Energy required to melt the ice.**

**Equation:**

where:

The temperature is not needed because the temperature doesn't change during a phase change.

**Known**

**Solution**

Plug in the known values and solve for

**3. Energy required to change the temperature from #"0.00"^@"C"# to #"85"^@"C"#. In this equation we will use the specific heat for liquid water.**

**Equation:**

**Known**

**Solution**

Plug in the known values and solve for

**4. Add the energies from each of the three equations. This will give you the total amount of energy needed to raise the temperature of a #"36.00 g"# sample of ice from #-30.00^@"C"# to #"85.00"^@"C"#.**