A 500kg steel boiler is used to convert 200kg of water into steam. Calculate the total energy required to heat both the steel and its' contents from 20.0°C to 100.0°C. The specific heat capacity of the steel is 0.528J/g°C.

Heattotal= heat steel + heat water + heatsteam

= masssteel*Cs*(Tf-Ti) + mw*cw*(tf-ti)+ mw*Lv where Lv is the latent heat of vaporization for water

Suppose that a 1.15 g of rubbing alcohol (ÄHvap=45.4 kJ/mol) evaporates on a 65.0 g aluminum block. If the aluminum block is initially at 25 oC, what is the final temperature of the block after the vaporization of the alcohol? The specific hear of Al is 0.903 J/goC

To calculate the total energy required to heat both the steel and its contents, we need to consider the energy required to heat the steel, the water, and also the energy required to convert the water into steam. Let's break down the calculation step by step:

1. Heat energy to heat the steel:
- The given mass of the steel boiler is 500 kg.
- The specific heat capacity of the steel (Cs) is 0.528 J/g°C.
- The temperature change is from 20.0°C to 100.0°C.
- We can calculate the heat energy required to heat the steel using the formula: heat = mass * specific heat capacity * temperature change.
- Convert the mass of the steel to grams: mass_steel = 500 kg * 1000 g/kg = 500,000 g.
- Calculate the heat energy required to heat the steel: heat_steel = mass_steel * Cs * (Tf - Ti).

2. Heat energy to heat the water:
- The given mass of the water is 200 kg.
- The specific heat capacity of water (cw) is approximately 4.18 J/g°C.
- The temperature change is from 20.0°C to 100.0°C.
- We can calculate the heat energy required to heat the water using the same formula: heat_water = mass_water * cw * (Tf - Ti).

3. Heat energy to convert water into steam:
- The latent heat of vaporization for water (Lv) is the amount of energy required to convert one gram of water into steam at its boiling point (100.0°C).
- The given mass of the water is 200 kg, so we need to convert it to grams: mass_water = 200,000 g.
- Calculate the heat energy required to convert water into steam: heat_steam = mass_water * Lv.

4. Calculate the total energy required:
- Add up the heat energy for the steel, water, and steam: heat_total = heat_steel + heat_water + heat_steam.

Note: The value for the latent heat of vaporization for water can vary depending on the pressure at which the water is boiling. The given value is usually for normal atmospheric pressure.

Make sure to substitute the appropriate values into the formula to calculate each heat energy component.