Final answer:
To calculate the volume of the gas at standard temperature and pressure (STP), use the combined gas law equation. In this case, the volume of the gas when brought to STP is 0.317 liters.
Step-by-step explanation:
To calculate the volume of the gas when it is brought to standard temperature and pressure (STP), we can use the combined gas law equation: P1V1/T1 = P2V2/T2, where P1, V1, and T1 are the initial pressure, volume, and temperature, and P2, V2, and T2 are the final pressure, volume, and temperature.
Given: P1 = 0.40 atm, V1 = 0.721 L, T1 = 75°C = 75 + 273.15 = 348.15 K, P2 = 1.0 atm, T2 = 0°C = 0 + 273.15 = 273.15 K.
Plugging in the values:
0.40 * 0.721 / 348.15 = 1.0 * V2 / 273.15
Solving for V2:
V2 = (0.40 * 0.721 * 273.15) / 348.15 = 0.317 L
Therefore, the volume of the gas when brought to STP is 0.317 liters.