Ideal Gas Law Application in Determining Mass of Propane in a BBQ Tank
What data is needed to determine the mass of propane in a BBQ propane tank?
Consider a full 0.02m³ BBQ propane tank that is initially at room temperature (293K) and spring-loaded so that the pressure is always 400kPa. When the tank is shaken, no audible sound is heard. If the molar mass of propane is 44kmol/kg, what is the mass of propane in the tank?
Answer:
Using the Ideal Gas Law and molar mass conversions, the mass of the propane in the tank can be determined. Given the pressure, volume, and temperature, these can be substituted into the equations to calculate the mass.
To determine the mass of propane in the BBQ tank, we need to utilize the Ideal Gas Law formula, which is PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature.
Given that the pressure is 400kPa, volume is 0.02m³, and temperature is 293K, we can substitute these values into the Ideal Gas Law formula to solve for the number of moles of propane in the tank.
Since the molar mass of propane is 44kmol/kg, we can convert the number of moles to mass by multiplying the number of moles by the molar mass. This conversion allows us to determine the mass of propane present in the BBQ tank.
It is important to note that the molar mass conversions are essential in solving for the mass of the substance in the tank and understanding the relationship between the number of moles and mass. By rearranging the Ideal Gas Law equation and incorporating molar mass conversions, we can accurately calculate the mass of propane in the tank.
For a more in-depth explanation of the Ideal Gas Law and its applications, you can refer to reliable sources or study materials that provide detailed insights into gas laws and their relevance in various scenarios.