Exactly 10mL of water at 25 degrees C was added to a hot iron skillet. all of the water was converted into steam at 100 degrees C. If the mass of the pan was 1.20 kg and the molar heat capacity of iron is 25.19 L/mol*C, what was the temp change of the skillet?
Answer is 0.8 C
To find the temperature change of the skillet, we need to calculate the amount of heat absorbed by the skillet.
1. First, let's calculate the heat absorbed by the water to convert it into steam using the formula:
q = m * ΔT * c,
where:
- q is the heat absorbed (in Joules),
- m is the mass of water (in kg),
- ΔT is the change in temperature (in °C), and
- c is the specific heat capacity of water (4.18 J/g°C).
The mass of water is 10 mL, which is equal to 10 g (since the density of water is approximately 1 g/mL).
ΔT = (100 °C - 25 °C) = 75 °C, and
c = 4.18 J/g°C.
Substituting these values into the formula, we get:
q = (10 g) * (75 °C) * (4.18 J/g°C) = 3135 J.
2. Since the water is converted into steam, this amount of heat will be absorbed by the skillet.
q_skillet = 3135 J.
3. Now, let's calculate the change in temperature of the skillet using the formula:
q_skillet = m_skillet * ΔT_skillet * c_iron,
where:
- m_skillet is the mass of the skillet (in kg),
- ΔT_skillet is the change in temperature of the skillet (in °C), and
- c_iron is the molar heat capacity of iron (25.19 L/mol°C).
The mass of the skillet is given as 1.20 kg, and we already know the heat absorbed (q_skillet) is 3135 J.
Rearranging the equation, we have:
ΔT_skillet = q_skillet / (m_skillet * c_iron).
Substituting the values, we get:
ΔT_skillet = 3135 J / (1.20 kg * 25.19 J/mol°C).
Calculating this, we find that:
ΔT_skillet ≈ 104.26 °C.
Therefore, the temperature change of the skillet is approximately 104.26 °C.
Heat absorbed by water to raise temperature from 25 to 100 + heat absorbed by water to vaporize at 100 to steam at 100 + heat lost by iron skillet = 0
[mass water x specific heat water x (Tfinal-Tinitial)] + [mass water x delta Hvap] + [mass Fe skillet x specific heat Fe skillet x (delta T) = 0
You will need joules for unit of specific heat Fe and you solve for delta T.