Gas Grill Propane Tank Pressure and Volume Calculation

How can we calculate the new volume of a propane tank in a standard gas grill?

Given the initial volume of 4,579 mL, initial temperature of 55˚C, initial pressure of 1,798 kPa, final temperature of 25˚C, and final pressure of 1,025 kPa, what will the new volume be?

Answer:

The new volume of the propane tank will be 7300 mL.

When calculating the new volume of the propane tank in a standard gas grill, we can use the ideal gas law formula: PV = nRT. In this case, the amount of gas (n) is constant, so we can use the equation P₁V₁ / T₁ = P₂V₂ / T₂ to find the new volume.

By substituting the given values into the equation and solving for V₂, we get: (1798 kPa) (4579 mL) / (55 + 273) K = (1025 kPa) V₂ / (25 + 273) K V₂ = 7298 mL

Rounded to two significant figures, the volume of the propane tank after cooling and pressure reduction will be 7300 mL.