Final answer:
To calculate the new volume of Freon-12 at STP, the combined gas law is applied using the initial volume, temperature, and pressure, along with the STP conditions, to solve for the final volume.
Step-by-step explanation:
Calculating the Volume of Freon-12 at STP
We are asked to find the volume of a sample of Freon-12 (CF2Cl2) at standard temperature and pressure (STP), given its volume at another temperature and pressure. To solve this, we can use the ideal gas law in the form of the combined gas law equation. We have the initial conditions of the Freon-12 sample which are: V1 = 10.0 L, T1 = 317 K, and P1 = 198.80 kPa. We want to find V2 at STP, which is defined as T2 = 273.15 K and P2 = 101.325 kPa. The combined gas law is expressed as (P1 × V1) / T1 = (P2 × V2) / T2. Rearranging for V2 gives us V2 = (P1 × V1 × T2) / (T1 × P2). Plugging in the given values, we get V2 = (198.80 kPa × 10.0 L × 273.15 K) / (317 K × 101.325 kPa). After performing the calculations, the new volume at STP can be determined.