Density of Propane Gas Calculation

How to calculate the density of propane gas?

Calculate the density of propane gas, C3H8, if a tank weighs 29.7 g.

Answer:

The density of propane gas can be calculated using the molar mass and volume equations.

To calculate the density of propane gas, we need to know the volume of the gas and the mass of the gas. The mass of the propane gas given in the problem is 29.7 g.

Assuming standard temperature and pressure (STP), we know that 1 mole of a gas occupies 22.4 L. The molar mass of propane (C3H8) is approximately 44.1 g/mol. We can use this information to calculate the number of moles in the tank which is mass/molar mass = 29.7 g / 44.1 g/mol = 0.673 moles.

Then, calculate the volume which is moles * volume of 1 mole at STP = 0.673 moles * 22.4 L/mol = 15.07 L. Hence, the density is mass/volume = 29.7 g / 15.07 L = 1.97 g/L.

Therefore, the density of the propane gas in the given condition is approximately 1.97 g/L.