How much heat has to be added to change 0.500 kg ice from -10C completely to a steam of 110C. The specific heat of ice, water and steam is 2090 J/kg ⋅K, 4186 J/kg⋅K, 2010 J/kg ⋅K respectively. Given that the heat J/kg, the heat of J/kg. Draw of fusion for ice is 3.34×10^5 vaporization for water is 2.26×10^6 the heat curve that shows the process as thermal energy is added to the system. Calculate the heat added to each five steps of this process.
can you plug in the numbers please. its kinda confusing than you
heat ice
melt ice ... heat of fusion * mass
heat water
boil water ... heat of vaporization * mass
heat steam
for the three heating steps ... mass * specific heat * Δt
To determine the heat added at each step of the process, we need to consider the different phases of the substance (ice, water, and steam) and the specific heat capacity values provided.
Step 1: Heating ice from -10°C to 0°C
We know the specific heat capacity of ice is 2090 J/kg⋅K, and the mass of the ice is 0.500 kg.
The temperature change required is 0°C - (-10°C) = 10°C.
The heat added for this step can be calculated using the formula Q = mcΔT, where Q is the heat, m is the mass, c is the specific heat capacity, and ΔT is the temperature change.
Q1 = (0.500 kg) * (2090 J/kg⋅K) * (10°C)
Step 2: Melting ice at 0°C
The heat of fusion for ice is given as 3.34 × 10^5 J/kg, and we need to convert this to heat using the mass of the ice.
Q2 = (0.500 kg) * (3.34 × 10^5 J/kg)
Step 3: Heating water from 0°C to 100°C
The specific heat capacity of water is 4186 J/kg⋅K.
The temperature change required in this step is 100°C - 0°C = 100°C.
Q3 = (0.500 kg) * (4186 J/kg⋅K) * (100°C)
Step 4: Vaporizing water at 100°C
The heat of vaporization for water is given as 2.26 × 10^6 J/kg.
Q4 = (0.500 kg) * (2.26 × 10^6 J/kg)
Step 5: Heating steam from 100°C to 110°C
The specific heat capacity of steam is 2010 J/kg⋅K.
The temperature change required in this step is 110°C - 100°C = 10°C.
Q5 = (0.500 kg) * (2010 J/kg⋅K) * (10°C)
Now you can calculate the individual values for Q1, Q2, Q3, Q4, and Q5 using the given information.