Calculate Various Parameters Related to a Liquefied Propane Tank Scenario

Calculations in a Liquefied Propane Tank Scenario

1. Calculate the mass of liquid propane and the mass of propane vapor inside the tank at the initial conditions.

To calculate the mass of liquid propane, we need to consider the initial temperature of 25 degrees Celsius, the volume of the tank (1,000 gallons), and that it is 50% full. Using the provided data, we can determine the mass of liquid propane and the mass of propane vapor inside the tank.

2. Calculate the mass of propane vapor inside the vapor cloud after tank failure.

In this scenario, we must consider both the saturated state just before tank failure and the flash evaporation resulting from tank failure. We also need to account for the decrease in the mass of liquid propane due to evaporation. By calculating these components, we can determine the mass of propane vapor inside the vapor cloud post-failure.

3. Determine the distance from the tank to a safe location where the radiation heat flux on the ground is less than 5 kW/m².

After the vapor cloud leads to a fireball, we need to calculate the distance from the tank to a safe location where the radiation heat flux on the ground is below a critical value of 5 kW/m². This calculation involves considering the heat emitted from the fireball and ensuring safety beyond a certain distance.

4. Calculate the distance from the tank to a safe location where the over-pressure on the ground is less than 5,000 Pa.

With the vapor cloud resulting in an explosion, we need to determine the distance from the tank to a safe location where the over-pressure on the ground does not exceed a critical value of 5,000 Pa. This calculation is crucial for ensuring the safety of individuals and property in the vicinity of the tank.