Final answer:
The volume of the gas at STP is 218.3 mL.
Step-by-step explanation:
The question involves using the combined gas law to find the volume of a gas at STP (standard temperature and pressure) given the initial volume, pressure, and temperature.
The combined gas law formula is:
P1V1T2 = P2V2T1
- First, identify the known values from the problem: P1 = 2.014 atm, V1 = 246.7 mL, T1 = 286.7 K, and T2 = 273 K (since the gas is at STP).
- Rearrange the formula to solve for V2:
V2 = (P1V1T2) / (P2T1) - Plug in the values:
V2 = (2.014 atm)(246.7 mL)(273 K) / (2.014 atm)(286.7 K) = 218.3 mL
Therefore, the volume of the gas at STP is 218.3 mL.